Difference between revisions of "User:Jon Awbrey/GRAPHICS"
Jon Awbrey (talk | contribs) |
Jon Awbrey (talk | contribs) (+ Miscellaneous Examples (Reduction 8:1)) |
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+ | ==Animations== | ||
+ | |||
+ | ===Riffs 1 to 60=== | ||
+ | |||
+ | {| align="center" | ||
+ | | [[Image:Animation Riff 60 x 0.16.gif]] | ||
+ | |} | ||
+ | |||
+ | ===Rotes 1 to 60=== | ||
+ | |||
+ | {| align="center" | ||
+ | | [[Image:Animation Rote 60 x 0.16.gif]] | ||
+ | |} | ||
+ | |||
==Image Gallery== | ==Image Gallery== | ||
Line 5: | Line 19: | ||
====Cacti==== | ====Cacti==== | ||
− | {| align="center" border="1" cellpadding=" | + | {| align="center" border="1" cellpadding="20" style="text-align:center; width:90%" |
|- | |- | ||
− | | width="50%" | '''Image''' | + | | width="50%" | '''Image''' |
+ | | width="50%" | '''Scale''' | ||
|- | |- | ||
− | | [[Image:Rooted Node Big.jpg|20px]] || 117 px & | + | | [[Image:Rooted Node Big.jpg|20px]] || 117 px <br> ↓ <br> 20 px |
|- | |- | ||
− | | [[Image:Rooted Edge Big.jpg|20px]] || 117 px & | + | | [[Image:Rooted Edge Big.jpg|20px]] || 117 px <br> ↓ <br> 20 px |
|} | |} | ||
====Riffs==== | ====Riffs==== | ||
− | {| align="center" border="1" cellpadding=" | + | {| align="center" border="1" cellpadding="20" style="text-align:center; width:90%" |
+ | |- | ||
+ | | width="15%" | '''Integer''' | ||
+ | | width="70%" | '''Riff''' | ||
+ | | width="15%" | '''Scale''' | ||
+ | |- | ||
+ | | 1 || || | ||
+ | |- | ||
+ | | 2 || [[Image:Riff 2 Big.jpg|20px]] || 117 px <br> ↓ <br> 20 px | ||
+ | |- | ||
+ | | 3 || [[Image:Riff 3 Big.jpg|40px]] || 240 px <br> ↓ <br> 40 px | ||
+ | |- | ||
+ | | 4 || [[Image:Riff 4 Big.jpg|40px]] || 233 px <br> ↓ <br> 40 px | ||
+ | |- | ||
+ | | 5 || [[Image:Riff 5 Big.jpg|65px]] || 384 px <br> ↓ <br> 65 px | ||
+ | |- | ||
+ | | 6 || [[Image:Riff 6 Big.jpg|65px]] || 384 px <br> ↓ <br> 65 px | ||
+ | |- | ||
+ | | 7 || [[Image:Riff 7 Big.jpg|65px]] || 377 px <br> ↓ <br> 65 px | ||
|- | |- | ||
− | | | + | | 8 || [[Image:Riff 8 Big.jpg|65px]] || 384 px <br> ↓ <br> 65 px |
− | | | ||
− | | | ||
|- | |- | ||
− | | | + | | 9 || [[Image:Riff 9 Big.jpg|40px]] || 240 px <br> ↓ <br> 40 px |
|- | |- | ||
− | | | + | | 10 || [[Image:Riff 10 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 11 || [[Image:Riff 11 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 12 || [[Image:Riff 12 Big.jpg|65px]] || 384 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 13 || [[Image:Riff 13 Big.jpg|65px]] || 384 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 14 || [[Image:Riff 14 Big.jpg|90px]] || 521 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 15 || [[Image:Riff 15 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 16 || [[Image:Riff 16 Big.jpg|65px]] || 377 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 17 || [[Image:Riff 17 Big.jpg|90px]] || 521 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 18 || [[Image:Riff 18 Big.jpg|65px]] || 384 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 19 || [[Image:Riff 19 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 20 || [[Image:Riff 20 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 21 || [[Image:Riff 21 Big.jpg|90px]] || 521 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 22 || [[Image:Riff 22 Big.jpg|115px]] || 672 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 23 || [[Image:Riff 23 Big.jpg|65px]] || 384 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 24 || [[Image:Riff 24 Big.jpg|115px]] || 672 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 25 || [[Image:Riff 25 Big.jpg|65px]] || 384 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 26 || [[Image:Riff 26 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 27 || [[Image:Riff 27 Big.jpg|65px]] || 384 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 28 || [[Image:Riff 28 Big.jpg|90px]] || 521 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 29 || [[Image:Riff 29 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 30 || [[Image:Riff 30 Big.jpg|115px]] || 672 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 31 || [[Image:Riff 31 Big.jpg|115px]] || 672 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 32 || [[Image:Riff 32 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 33 || [[Image:Riff 33 Big.jpg|115px]] || 672 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 34 || [[Image:Riff 34 Big.jpg|115px]] || 665 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 35 || [[Image:Riff 35 Big.jpg|90px]] || 521 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 36 || [[Image:Riff 36 Big.jpg|65px]] || 384 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 37 || [[Image:Riff 37 Big.jpg|65px]] || 384 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 38 || [[Image:Riff 38 Big.jpg|115px]] || 672 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 39 || [[Image:Riff 39 Big.jpg|115px]] || 672 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 40 || [[Image:Riff 40 Big.jpg|135px]] || 816 px <br> ↓ <br> 135 px |
|- | |- | ||
− | | | + | | 41 || [[Image:Riff 41 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 42 || [[Image:Riff 42 Big.jpg|115px]] || 665 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 43 || [[Image:Riff 43 Big.jpg|90px]] || 521 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 44 || [[Image:Riff 44 Big.jpg|115px]] || 672 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 45 || [[Image:Riff 45 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 46 || [[Image:Riff 46 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 47 || [[Image:Riff 47 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 48 || [[Image:Riff 48 Big.jpg|65px]] || 384 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 49 || [[Image:Riff 49 Big.jpg|65px]] || 377 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 50 || [[Image:Riff 50 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 51 || [[Image:Riff 51 Big.jpg|115px]] || 665 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 52 || [[Image:Riff 52 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 53 || [[Image:Riff 53 Big.jpg|90px]] || 521 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 54 || [[Image:Riff 54 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 55 || [[Image:Riff 55 Big.jpg|115px]] || 672 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 56 || [[Image:Riff 56 Big.jpg|135px]] || 809 px <br> ↓ <br> 135 px |
|- | |- | ||
− | | | + | | 57 || [[Image:Riff 57 Big.jpg|115px]] || 672 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 58 || [[Image:Riff 58 Big.jpg|115px]] || 672 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 59 || [[Image:Riff 59 Big.jpg|115px]] || 665 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 60 || [[Image:Riff 60 Big.jpg|115px]] || 672 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 64 || [[Image:Riff 64 Big.jpg|65px]] || 384 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 81 || [[Image:Riff 81 Big.jpg|65px]] || 377 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 105 || [[Image:Riff 105 Big.jpg|115px]] || 665 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | | + | | 128 || [[Image:Riff 128 Big.jpg|90px]] || 521 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 165 || [[Image:Riff 165 Big.jpg|135px]] || 816 px <br> ↓ <br> 135 px |
|- | |- | ||
− | | | + | | 256 || [[Image:Riff 256 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 512 || [[Image:Riff 512 Big.jpg|65px]] || 384 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 2010 || [[Image:Riff 2010 Big.jpg|185px]] || 1104 px <br> ↓ <br> 185 px |
|- | |- | ||
− | | | + | | 2500 || [[Image:Riff 2500 Big.jpg|90px]] || 528 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 65536 || [[Image:Riff 65536 Big.jpg|90px]] || 521 px <br> ↓ <br> 90 px |
+ | |- | ||
+ | | 802701 || [[Image:Riff 802701 Big.jpg|210px]] || 1248 px <br> ↓ <br> 210 px | ||
+ | |- | ||
+ | | 123456789 || [[Image:Riff 123456789 Big.jpg|220px]] || 1296 px <br> ↓ <br> 220 px | ||
|} | |} | ||
====Rotes==== | ====Rotes==== | ||
− | {| align="center" border="1" cellpadding=" | + | {| align="center" border="1" cellpadding="20" style="text-align:center; width:90%" |
+ | |- | ||
+ | | width="15%" | '''Integer''' | ||
+ | | width="70%" | '''Rote''' | ||
+ | | width="15%" | '''Scale''' | ||
+ | |- | ||
+ | | 1 || [[Image:Rote 1 Big.jpg|20px]] || 117 px <br> ↓ <br> 20 px | ||
+ | |- | ||
+ | | 2 || [[Image:Rote 2 Big.jpg|40px]] || 233 px <br> ↓ <br> 40 px | ||
+ | |- | ||
+ | | 3 || [[Image:Rote 3 Big.jpg|40px]] || 233 px <br> ↓ <br> 40 px | ||
+ | |- | ||
+ | | 4 || [[Image:Rote 4 Big.jpg|65px]] || 377 px <br> ↓ <br> 65 px | ||
+ | |- | ||
+ | | 5 || [[Image:Rote 5 Big.jpg|40px]] || 233 px <br> ↓ <br> 40 px | ||
|- | |- | ||
− | | | + | | 6 || [[Image:Rote 6 Big.jpg|80px]] || 473 px <br> ↓ <br> 80 px |
− | | | ||
− | | | ||
|- | |- | ||
− | | | + | | 7 || [[Image:Rote 7 Big.jpg|65px]] || 377 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 8 || [[Image:Rote 8 Big.jpg|65px]] || 377 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 9 || [[Image:Rote 9 Big.jpg|80px]] || 473 px <br> ↓ <br> 80 px |
|- | |- | ||
− | | | + | | 10 || [[Image:Rote 10 Big.jpg|80px]] || 473 px <br> ↓ <br> 80 px |
|- | |- | ||
− | | | + | | 11 || [[Image:Rote 11 Big.jpg|40px]] || 233 px <br> ↓ <br> 40 px |
|- | |- | ||
− | | | + | | 12 || [[Image:Rote 12 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 13 || [[Image:Rote 13 Big.jpg|80px]] || 473 px <br> ↓ <br> 80 px |
|- | |- | ||
− | | | + | | 14 || [[Image:Rote 14 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 15 || [[Image:Rote 15 Big.jpg|80px]] || 473 px <br> ↓ <br> 80 px |
|- | |- | ||
− | | | + | | 16 || [[Image:Rote 16 Big.jpg|90px]] || 521 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 17 || [[Image:Rote 17 Big.jpg|65px]] || 377 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 18 || [[Image:Rote 18 Big.jpg|120px]] || 713 px <br> ↓ <br> 120 px |
|- | |- | ||
− | | | + | | 19 || [[Image:Rote 19 Big.jpg|65px]] || 377 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 20 || [[Image:Rote 20 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 21 || [[Image:Rote 21 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 22 || [[Image:Rote 22 Big.jpg|80px]] || 473 px <br> ↓ <br> 80 px |
|- | |- | ||
− | | | + | | 23 || [[Image:Rote 23 Big.jpg|80px]] || 473 px <br> ↓ <br> 80 px |
|- | |- | ||
− | | | + | | 24 || [[Image:Rote 24 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 25 || [[Image:Rote 25 Big.jpg|80px]] || 473 px <br> ↓ <br> 80 px |
|- | |- | ||
− | | | + | | 26 || [[Image:Rote 26 Big.jpg|120px]] || 713 px <br> ↓ <br> 120 px |
|- | |- | ||
− | | | + | | 27 || [[Image:Rote 27 Big.jpg|80px]] || 473 px <br> ↓ <br> 80 px |
|- | |- | ||
− | | | + | | 28 || [[Image:Rote 28 Big.jpg|130px]] || 761 px <br> ↓ <br> 130 px |
|- | |- | ||
− | | | + | | 29 || [[Image:Rote 29 Big.jpg|80px]] || 473 px <br> ↓ <br> 80 px |
|- | |- | ||
− | | | + | | 30 || [[Image:Rote 30 Big.jpg|120px]] || 713 px <br> ↓ <br> 120 px |
|- | |- | ||
− | | | + | | 31 || [[Image:Rote 31 Big.jpg|40px]] || 233 px <br> ↓ <br> 40 px |
|- | |- | ||
− | | | + | | 32 || [[Image:Rote 32 Big.jpg|65px]] || 377 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 33 || [[Image:Rote 33 Big.jpg|80px]] || 473 px <br> ↓ <br> 80 px |
|- | |- | ||
− | | | + | | 34 || [[Image:Rote 34 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 35 || [[Image:Rote 35 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 36 || [[Image:Rote 36 Big.jpg|145px]] || 857 px <br> ↓ <br> 145 px |
|- | |- | ||
− | | | + | | 37 || [[Image:Rote 37 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 38 || [[Image:Rote 38 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 39 || [[Image:Rote 39 Big.jpg|120px]] || 713 px <br> ↓ <br> 120 px |
|- | |- | ||
− | | | + | | 40 || [[Image:Rote 40 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 41 || [[Image:Rote 41 Big.jpg|80px]] || 473 px <br> ↓ <br> 80 px |
|- | |- | ||
− | | | + | | 42 || [[Image:Rote 42 Big.jpg|145px]] || 857 px <br> ↓ <br> 145 px |
|- | |- | ||
− | | | + | | 43 || [[Image:Rote 43 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 44 || [[Image:Rote 44 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 45 || [[Image:Rote 45 Big.jpg|120px]] || 713 px <br> ↓ <br> 120 px |
|- | |- | ||
− | | | + | | 46 || [[Image:Rote 46 Big.jpg|120px]] || 713 px <br> ↓ <br> 120 px |
|- | |- | ||
− | | | + | | 47 || [[Image:Rote 47 Big.jpg|80px]] || 473 px <br> ↓ <br> 80 px |
|- | |- | ||
− | | | + | | 48 || [[Image:Rote 48 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 49 || [[Image:Rote 49 Big.jpg|80px]] || 473 px <br> ↓ <br> 80 px |
|- | |- | ||
− | | | + | | 50 || [[Image:Rote 50 Big.jpg|120px]] || 713 px <br> ↓ <br> 120 px |
|- | |- | ||
− | | | + | | 51 || [[Image:Rote 51 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 52 || [[Image:Rote 52 Big.jpg|145px]] || 857 px <br> ↓ <br> 145 px |
|- | |- | ||
− | | | + | | 53 || [[Image:Rote 53 Big.jpg|90px]] || 521 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 54 || [[Image:Rote 54 Big.jpg|120px]] || 713 px <br> ↓ <br> 120 px |
|- | |- | ||
− | | | + | | 55 || [[Image:Rote 55 Big.jpg|80px]] || 473 px <br> ↓ <br> 80 px |
|- | |- | ||
− | | | + | | 56 || [[Image:Rote 56 Big.jpg|130px]] || 761 px <br> ↓ <br> 130 px |
|- | |- | ||
− | | | + | | 57 || [[Image:Rote 57 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 58 || [[Image:Rote 58 Big.jpg|120px]] || 713 px <br> ↓ <br> 120 px |
|- | |- | ||
− | | | + | | 59 || [[Image:Rote 59 Big.jpg|65px]] || 377 px <br> ↓ <br> 65 px |
|- | |- | ||
− | | | + | | 60 || [[Image:Rote 60 Big.jpg|155px]] || 905 px <br> ↓ <br> 155 px |
|- | |- | ||
− | | | + | | 64 || [[Image:Rote 64 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 81 || [[Image:Rote 81 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
|- | |- | ||
− | | | + | | 105 || [[Image:Rote 105 Big.jpg|145px]] || 857 px <br> ↓ <br> 145 px |
|- | |- | ||
− | | | + | | 128 || [[Image:Rote 128 Big.jpg|90px]] || 521 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 165 || [[Image:Rote 165 Big.jpg|120px]] || 713 px <br> ↓ <br> 120 px |
|- | |- | ||
− | | | + | | 256 || [[Image:Rote 256 Big.jpg|90px]] || 521 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | 2500 || [[Image:Rote 2500 Big.jpg|170px]] || 1001 px & | + | | 512 || [[Image:Rote 512 Big.jpg|105px]] || 617 px <br> ↓ <br> 105 px |
+ | |- | ||
+ | | 2010 || [[Image:Rote 2010 Big.jpg|190px]] || 1145 px <br> ↓ <br> 190 px | ||
+ | |- | ||
+ | | 2500 || [[Image:Rote 2500 Big.jpg|170px]] || 1001 px <br> ↓ <br> 170 px | ||
+ | |- | ||
+ | | 65536 || [[Image:Rote 65536 Big.jpg|115px]] || 665 px <br> ↓ <br> 115 px | ||
+ | |- | ||
+ | | 802701 || [[Image:Rote 802701 Big.jpg|330px]] || 1961 px <br> ↓ <br> 330 px | ||
+ | |- | ||
+ | | 123456789 || [[Image:Rote 123456789 Big.jpg|345px]] || 2048 px <br> ↓ <br> 345 px | ||
|} | |} | ||
Line 282: | Line 339: | ||
====Cacti==== | ====Cacti==== | ||
− | {| align="center" border="1" cellpadding=" | + | {| align="center" border="1" cellpadding="20" style="text-align:center; width:90%" |
|- | |- | ||
− | | width="50%" | '''Image''' | + | | width="50%" | '''Image''' |
+ | | width="50%" | '''Scale''' | ||
|- | |- | ||
− | | [[Image:Rooted Node Big.jpg|12px]] || 117 px & | + | | [[Image:Rooted Node Big.jpg|12px]] || 117 px <br> ↓ <br> 12 px |
|- | |- | ||
− | | [[Image:Rooted Edge Big.jpg|12px]] || 117 px & | + | | [[Image:Rooted Edge Big.jpg|12px]] || 117 px <br> ↓ <br> 12 px |
|} | |} | ||
====Riffs==== | ====Riffs==== | ||
− | {| align="center" border="1" cellpadding=" | + | {| align="center" border="1" cellpadding="20" style="text-align:center; width:90%" |
+ | |- | ||
+ | | width="15%" | '''Integer''' | ||
+ | | width="70%" | '''Riff''' | ||
+ | | width="15%" | '''Scale''' | ||
+ | |- | ||
+ | | 1 || || | ||
+ | |- | ||
+ | | 2 || [[Image:Riff 2 Big.jpg|12px]] || 117 px <br> ↓ <br> 12 px | ||
+ | |- | ||
+ | | 3 || [[Image:Riff 3 Big.jpg|24px]] || 240 px <br> ↓ <br> 24 px | ||
+ | |- | ||
+ | | 4 || [[Image:Riff 4 Big.jpg|24px]] || 233 px <br> ↓ <br> 24 px | ||
+ | |- | ||
+ | | 5 || [[Image:Riff 5 Big.jpg|38px]] || 384 px <br> ↓ <br> 38 px | ||
+ | |- | ||
+ | | 6 || [[Image:Riff 6 Big.jpg|38px]] || 384 px <br> ↓ <br> 38 px | ||
+ | |- | ||
+ | | 7 || [[Image:Riff 7 Big.jpg|38px]] || 377 px <br> ↓ <br> 38 px | ||
+ | |- | ||
+ | | 8 || [[Image:Riff 8 Big.jpg|38px]] || 384 px <br> ↓ <br> 38 px | ||
+ | |- | ||
+ | | 9 || [[Image:Riff 9 Big.jpg|24px]] || 240 px <br> ↓ <br> 24 px | ||
|- | |- | ||
− | | | + | | 10 || [[Image:Riff 10 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
− | | | ||
− | | | ||
|- | |- | ||
− | | | + | | 11 || [[Image:Riff 11 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 12 || [[Image:Riff 12 Big.jpg|38px]] || 384 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 13 || [[Image:Riff 13 Big.jpg|38px]] || 384 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 14 || [[Image:Riff 14 Big.jpg|54px]] || 521 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 15 || [[Image:Riff 15 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 16 || [[Image:Riff 16 Big.jpg|38px]] || 377 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 17 || [[Image:Riff 17 Big.jpg|54px]] || 521 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 18 || [[Image:Riff 18 Big.jpg|38px]] || 384 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 19 || [[Image:Riff 19 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 20 || [[Image:Riff 20 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 21 || [[Image:Riff 21 Big.jpg|54px]] || 521 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 22 || [[Image:Riff 22 Big.jpg|68px]] || 672 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 23 || [[Image:Riff 23 Big.jpg|38px]] || 384 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 24 || [[Image:Riff 24 Big.jpg|68px]] || 672 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 25 || [[Image:Riff 25 Big.jpg|38px]] || 384 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 26 || [[Image:Riff 26 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 27 || [[Image:Riff 27 Big.jpg|38px]] || 384 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 28 || [[Image:Riff 28 Big.jpg|54px]] || 521 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 29 || [[Image:Riff 29 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 30 || [[Image:Riff 30 Big.jpg|68px]] || 672 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 31 || [[Image:Riff 31 Big.jpg|68px]] || 672 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 32 || [[Image:Riff 32 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 33 || [[Image:Riff 33 Big.jpg|68px]] || 672 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 34 || [[Image:Riff 34 Big.jpg|68px]] || 665 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 35 || [[Image:Riff 35 Big.jpg|54px]] || 521 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 36 || [[Image:Riff 36 Big.jpg|38px]] || 384 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 37 || [[Image:Riff 37 Big.jpg|38px]] || 384 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 38 || [[Image:Riff 38 Big.jpg|68px]] || 672 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 39 || [[Image:Riff 39 Big.jpg|68px]] || 672 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 40 || [[Image:Riff 40 Big.jpg|82px]] || 816 px <br> ↓ <br> 82 px |
|- | |- | ||
− | | | + | | 41 || [[Image:Riff 41 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 42 || [[Image:Riff 42 Big.jpg|68px]] || 665 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 43 || [[Image:Riff 43 Big.jpg|54px]] || 521 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 44 || [[Image:Riff 44 Big.jpg|68px]] || 672 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 45 || [[Image:Riff 45 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 46 || [[Image:Riff 46 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 47 || [[Image:Riff 47 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 48 || [[Image:Riff 48 Big.jpg|38px]] || 384 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 49 || [[Image:Riff 49 Big.jpg|38px]] || 377 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 50 || [[Image:Riff 50 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 51 || [[Image:Riff 51 Big.jpg|68px]] || 665 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 52 || [[Image:Riff 52 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 53 || [[Image:Riff 53 Big.jpg|54px]] || 521 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 54 || [[Image:Riff 54 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 55 || [[Image:Riff 55 Big.jpg|68px]] || 672 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 56 || [[Image:Riff 56 Big.jpg|82px]] || 809 px <br> ↓ <br> 82 px |
|- | |- | ||
− | | | + | | 57 || [[Image:Riff 57 Big.jpg|68px]] || 672 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 58 || [[Image:Riff 58 Big.jpg|68px]] || 672 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 59 || [[Image:Riff 59 Big.jpg|68px]] || 665 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 60 || [[Image:Riff 60 Big.jpg|68px]] || 672 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 64 || [[Image:Riff 64 Big.jpg|38px]] || 384 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 81 || [[Image:Riff 81 Big.jpg|38px]] || 377 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 105 || [[Image:Riff 105 Big.jpg|68px]] || 665 px <br> ↓ <br> 68 px |
|- | |- | ||
− | | | + | | 128 || [[Image:Riff 128 Big.jpg|54px]] || 521 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 165 || [[Image:Riff 165 Big.jpg|82px]] || 816 px <br> ↓ <br> 82 px |
|- | |- | ||
− | | | + | | 256 || [[Image:Riff 256 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 512 || [[Image:Riff 512 Big.jpg|38px]] || 384 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 2010 || [[Image:Riff 2010 Big.jpg|110px]] || 1104 px <br> ↓ <br> 110 px |
|- | |- | ||
− | | | + | | 2500 || [[Image:Riff 2500 Big.jpg|54px]] || 528 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 65536 || [[Image:Riff 65536 Big.jpg|54px]] || 521 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 802701 || [[Image:Riff 802701 Big.jpg|125px]] || 1248 px <br> ↓ <br> 125 px |
|- | |- | ||
− | | | + | | 123456789 || [[Image:Riff 123456789 Big.jpg|130px]] || 1296 px <br> ↓ <br> 130 px |
|} | |} | ||
====Rotes==== | ====Rotes==== | ||
− | {| align="center" border="1" cellpadding=" | + | {| align="center" border="1" cellpadding="20" style="text-align:center; width:90%" |
+ | |- | ||
+ | | width="15%" | '''Integer''' | ||
+ | | width="70%" | '''Rote''' | ||
+ | | width="15%" | '''Scale''' | ||
+ | |- | ||
+ | | 1 || [[Image:Rote 1 Big.jpg|12px]] || 117 px <br> ↓ <br> 12 px | ||
+ | |- | ||
+ | | 2 || [[Image:Rote 2 Big.jpg|24px]] || 233 px <br> ↓ <br> 24 px | ||
+ | |- | ||
+ | | 3 || [[Image:Rote 3 Big.jpg|24px]] || 233 px <br> ↓ <br> 24 px | ||
+ | |- | ||
+ | | 4 || [[Image:Rote 4 Big.jpg|38px]] || 377 px <br> ↓ <br> 38 px | ||
+ | |- | ||
+ | | 5 || [[Image:Rote 5 Big.jpg|24px]] || 233 px <br> ↓ <br> 24 px | ||
+ | |- | ||
+ | | 6 || [[Image:Rote 6 Big.jpg|48px]] || 473 px <br> ↓ <br> 48 px | ||
+ | |- | ||
+ | | 7 || [[Image:Rote 7 Big.jpg|38px]] || 377 px <br> ↓ <br> 38 px | ||
|- | |- | ||
− | | | + | | 8 || [[Image:Rote 8 Big.jpg|38px]] || 377 px <br> ↓ <br> 38 px |
− | | | ||
− | | | ||
|- | |- | ||
− | | | + | | 9 || [[Image:Rote 9 Big.jpg|48px]] || 473 px <br> ↓ <br> 48 px |
|- | |- | ||
− | | | + | | 10 || [[Image:Rote 10 Big.jpg|48px]] || 473 px <br> ↓ <br> 48 px |
|- | |- | ||
− | | | + | | 11 || [[Image:Rote 11 Big.jpg|24px]] || 233 px <br> ↓ <br> 24 px |
|- | |- | ||
− | | | + | | 12 || [[Image:Rote 12 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 13 || [[Image:Rote 13 Big.jpg|48px]] || 473 px <br> ↓ <br> 48 px |
|- | |- | ||
− | | | + | | 14 || [[Image:Rote 14 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 15 || [[Image:Rote 15 Big.jpg|48px]] || 473 px <br> ↓ <br> 48 px |
|- | |- | ||
− | | | + | | 16 || [[Image:Rote 16 Big.jpg|54px]] || 521 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 17 || [[Image:Rote 17 Big.jpg|38px]] || 377 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 18 || [[Image:Rote 18 Big.jpg|72px]] || 713 px <br> ↓ <br> 72 px |
|- | |- | ||
− | | | + | | 19 || [[Image:Rote 19 Big.jpg|38px]] || 377 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 20 || [[Image:Rote 20 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 21 || [[Image:Rote 21 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 22 || [[Image:Rote 22 Big.jpg|48px]] || 473 px <br> ↓ <br> 48 px |
|- | |- | ||
− | | | + | | 23 || [[Image:Rote 23 Big.jpg|48px]] || 473 px <br> ↓ <br> 48 px |
|- | |- | ||
− | | | + | | 24 || [[Image:Rote 24 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 25 || [[Image:Rote 25 Big.jpg|48px]] || 473 px <br> ↓ <br> 48 px |
|- | |- | ||
− | | | + | | 26 || [[Image:Rote 26 Big.jpg|72px]] || 713 px <br> ↓ <br> 72 px |
|- | |- | ||
− | | | + | | 27 || [[Image:Rote 27 Big.jpg|48px]] || 473 px <br> ↓ <br> 48 px |
|- | |- | ||
− | | | + | | 28 || [[Image:Rote 28 Big.jpg|76px]] || 761 px <br> ↓ <br> 76 px |
|- | |- | ||
− | | | + | | 29 || [[Image:Rote 29 Big.jpg|48px]] || 473 px <br> ↓ <br> 48 px |
|- | |- | ||
− | | | + | | 30 || [[Image:Rote 30 Big.jpg|72px]] || 713 px <br> ↓ <br> 72 px |
|- | |- | ||
− | | | + | | 31 || [[Image:Rote 31 Big.jpg|24px]] || 233 px <br> ↓ <br> 24 px |
|- | |- | ||
− | | | + | | 32 || [[Image:Rote 32 Big.jpg|38px]] || 377 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 33 || [[Image:Rote 33 Big.jpg|48px]] || 473 px <br> ↓ <br> 48 px |
|- | |- | ||
− | | | + | | 34 || [[Image:Rote 34 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 35 || [[Image:Rote 35 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 36 || [[Image:Rote 36 Big.jpg|86px]] || 857 px <br> ↓ <br> 86 px |
|- | |- | ||
− | | | + | | 37 || [[Image:Rote 37 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 38 || [[Image:Rote 38 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 39 || [[Image:Rote 39 Big.jpg|72px]] || 713 px <br> ↓ <br> 72 px |
|- | |- | ||
− | | | + | | 40 || [[Image:Rote 40 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 41 || [[Image:Rote 41 Big.jpg|48px]] || 473 px <br> ↓ <br> 48 px |
|- | |- | ||
− | | | + | | 42 || [[Image:Rote 42 Big.jpg|86px]] || 857 px <br> ↓ <br> 86 px |
|- | |- | ||
− | | | + | | 43 || [[Image:Rote 43 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 44 || [[Image:Rote 44 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 45 || [[Image:Rote 45 Big.jpg|72px]] || 713 px <br> ↓ <br> 72 px |
|- | |- | ||
− | | | + | | 46 || [[Image:Rote 46 Big.jpg|72px]] || 713 px <br> ↓ <br> 72 px |
|- | |- | ||
− | | | + | | 47 || [[Image:Rote 47 Big.jpg|48px]] || 473 px <br> ↓ <br> 48 px |
|- | |- | ||
− | | | + | | 48 || [[Image:Rote 48 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 49 || [[Image:Rote 49 Big.jpg|48px]] || 473 px <br> ↓ <br> 48 px |
|- | |- | ||
− | | | + | | 50 || [[Image:Rote 50 Big.jpg|72px]] || 713 px <br> ↓ <br> 72 px |
|- | |- | ||
− | | | + | | 51 || [[Image:Rote 51 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 52 || [[Image:Rote 52 Big.jpg|86px]] || 857 px <br> ↓ <br> 86 px |
|- | |- | ||
− | | | + | | 53 || [[Image:Rote 53 Big.jpg|54px]] || 521 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 54 || [[Image:Rote 54 Big.jpg|72px]] || 713 px <br> ↓ <br> 72 px |
|- | |- | ||
− | | | + | | 55 || [[Image:Rote 55 Big.jpg|48px]] || 473 px <br> ↓ <br> 48 px |
|- | |- | ||
− | | | + | | 56 || [[Image:Rote 56 Big.jpg|76px]] || 761 px <br> ↓ <br> 76 px |
|- | |- | ||
− | | | + | | 57 || [[Image:Rote 57 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 58 || [[Image:Rote 58 Big.jpg|72px]] || 713 px <br> ↓ <br> 72 px |
|- | |- | ||
− | | | + | | 59 || [[Image:Rote 59 Big.jpg|38px]] || 377 px <br> ↓ <br> 38 px |
|- | |- | ||
− | | | + | | 60 || [[Image:Rote 60 Big.jpg|90px]] || 905 px <br> ↓ <br> 90 px |
|- | |- | ||
− | | | + | | 64 || [[Image:Rote 64 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 81 || [[Image:Rote 81 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 105 || [[Image:Rote 105 Big.jpg|86px]] || 857 px <br> ↓ <br> 86 px |
|- | |- | ||
− | | | + | | 128 || [[Image:Rote 128 Big.jpg|54px]] || 521 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 165 || [[Image:Rote 165 Big.jpg|72px]] || 713 px <br> ↓ <br> 72 px |
|- | |- | ||
− | | | + | | 256 || [[Image:Rote 256 Big.jpg|54px]] || 521 px <br> ↓ <br> 54 px |
|- | |- | ||
− | | | + | | 512 || [[Image:Rote 512 Big.jpg|62px]] || 617 px <br> ↓ <br> 62 px |
|- | |- | ||
− | | | + | | 2010 || [[Image:Rote 2010 Big.jpg|115px]] || 1145 px <br> ↓ <br> 115 px |
|- | |- | ||
− | | 2500 || [[Image:Rote 2500 Big.jpg|100px]] || 1001 px & | + | | 2500 || [[Image:Rote 2500 Big.jpg|100px]] || 1001 px <br> ↓ <br> 100 px |
+ | |- | ||
+ | | 65536 || [[Image:Rote 65536 Big.jpg|68px]] || 665 px <br> ↓ <br> 68 px | ||
+ | |- | ||
+ | | 802701 || [[Image:Rote 802701 Big.jpg|196px]] || 1961 px <br> ↓ <br> 196 px | ||
+ | |- | ||
+ | | 123456789 || [[Image:Rote 123456789 Big.jpg|205px]] || 2048 px <br> ↓ <br> 205 px | ||
|} | |} | ||
Line 561: | Line 661: | ||
| valign="bottom" | | | valign="bottom" | | ||
<p> </p><br> | <p> </p><br> | ||
− | <p> | + | <p><math>1\!</math></p><br> |
<p><math>\begin{array}{l} \varnothing \\ 1 \end{array}</math></p> | <p><math>\begin{array}{l} \varnothing \\ 1 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
Line 817: | Line 917: | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 1 Big.jpg|20px]]</p><br> | <p>[[Image:Rote 1 Big.jpg|20px]]</p><br> | ||
+ | <p><math>1\!</math></p><br> | ||
<p><math>\begin{array}{l} \varnothing \\ 1 \end{array}</math></p> | <p><math>\begin{array}{l} \varnothing \\ 1 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 2 Big.jpg|40px]]</p><br> | <p>[[Image:Rote 2 Big.jpg|40px]]</p><br> | ||
+ | <p><math>\text{p}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!1 \\ 2 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!1 \\ 2 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 3 Big.jpg|40px]]</p><br> | <p>[[Image:Rote 3 Big.jpg|40px]]</p><br> | ||
+ | <p><math>\text{p}_\text{p}\!</math></p><br> | ||
<p><math>\begin{array}{l} 2\!:\!1 \\ 3 \end{array}</math></p> | <p><math>\begin{array}{l} 2\!:\!1 \\ 3 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 4 Big.jpg|65px]]</p><br> | <p>[[Image:Rote 4 Big.jpg|65px]]</p><br> | ||
+ | <p><math>\text{p}^\text{p}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!2 \\ 4 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!2 \\ 4 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 5 Big.jpg|40px]]</p><br> | <p>[[Image:Rote 5 Big.jpg|40px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 3\!:\!1 \\ 5 \end{array}</math></p> | <p><math>\begin{array}{l} 3\!:\!1 \\ 5 \end{array}</math></p> | ||
|- | |- | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 6 Big.jpg|80px]]</p><br> | <p>[[Image:Rote 6 Big.jpg|80px]]</p><br> | ||
+ | <p><math>\text{p} \text{p}_\text{p}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!1 ~~ 2\!:\!1 \\ 6 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!1 ~~ 2\!:\!1 \\ 6 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 7 Big.jpg|65px]]</p><br> | <p>[[Image:Rote 7 Big.jpg|65px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}^\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 4\!:\!1 \\ 7 \end{array}</math></p> | <p><math>\begin{array}{l} 4\!:\!1 \\ 7 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 8 Big.jpg|65px]]</p><br> | <p>[[Image:Rote 8 Big.jpg|65px]]</p><br> | ||
+ | <p><math>\text{p}^{\text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!3 \\ 8 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!3 \\ 8 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 9 Big.jpg|80px]]</p><br> | <p>[[Image:Rote 9 Big.jpg|80px]]</p><br> | ||
+ | <p><math>\text{p}_\text{p}^\text{p}\!</math></p><br> | ||
<p><math>\begin{array}{l} 2\!:\!2 \\ 9 \end{array}</math></p> | <p><math>\begin{array}{l} 2\!:\!2 \\ 9 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 10 Big.jpg|80px]]</p><br> | <p>[[Image:Rote 10 Big.jpg|80px]]</p><br> | ||
+ | <p><math>\text{p} \text{p}_{\text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!1 ~~ 3\!:\!1 \\ 10 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!1 ~~ 3\!:\!1 \\ 10 \end{array}</math></p> | ||
|- | |- | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 11 Big.jpg|40px]]</p><br> | <p>[[Image:Rote 11 Big.jpg|40px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}_{\text{p}_\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 5\!:\!1 \\ 11 \end{array}</math></p> | <p><math>\begin{array}{l} 5\!:\!1 \\ 11 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 12 Big.jpg|105px]]</p><br> | <p>[[Image:Rote 12 Big.jpg|105px]]</p><br> | ||
+ | <p><math>\text{p}^\text{p} \text{p}_\text{p}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!2 ~~ 2\!:\!1 \\ 12 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!2 ~~ 2\!:\!1 \\ 12 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 13 Big.jpg|80px]]</p><br> | <p>[[Image:Rote 13 Big.jpg|80px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p} \text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 6\!:\!1 \\ 13 \end{array}</math></p> | <p><math>\begin{array}{l} 6\!:\!1 \\ 13 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 14 Big.jpg|105px]]</p><br> | <p>[[Image:Rote 14 Big.jpg|105px]]</p><br> | ||
+ | <p><math>\text{p} \text{p}_{\text{p}^\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!1 ~~ 4\!:\!1 \\ 14 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!1 ~~ 4\!:\!1 \\ 14 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 15 Big.jpg|80px]]</p><br> | <p>[[Image:Rote 15 Big.jpg|80px]]</p><br> | ||
+ | <p><math>\text{p}_\text{p} \text{p}_{\text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 2\!:\!1 ~~ 3\!:\!1 \\ 15 \end{array}</math></p> | <p><math>\begin{array}{l} 2\!:\!1 ~~ 3\!:\!1 \\ 15 \end{array}</math></p> | ||
|- | |- | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 16 Big.jpg|90px]]</p><br> | <p>[[Image:Rote 16 Big.jpg|90px]]</p><br> | ||
+ | <p><math>\text{p}^{\text{p}^\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!4 \\ 16 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!4 \\ 16 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 17 Big.jpg|65px]]</p><br> | <p>[[Image:Rote 17 Big.jpg|65px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}_{\text{p}^\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 7\!:\!1 \\ 17 \end{array}</math></p> | <p><math>\begin{array}{l} 7\!:\!1 \\ 17 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 18 Big.jpg|120px]]</p><br> | <p>[[Image:Rote 18 Big.jpg|120px]]</p><br> | ||
+ | <p><math>\text{p} \text{p}_\text{p}^\text{p}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!1 ~~ 2\!:\!2 \\ 18 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!1 ~~ 2\!:\!2 \\ 18 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 19 Big.jpg|65px]]</p><br> | <p>[[Image:Rote 19 Big.jpg|65px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}^{\text{p}_\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 8\!:\!1 \\ 19 \end{array}</math></p> | <p><math>\begin{array}{l} 8\!:\!1 \\ 19 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 20 Big.jpg|105px]]</p><br> | <p>[[Image:Rote 20 Big.jpg|105px]]</p><br> | ||
+ | <p><math>\text{p}^\text{p} \text{p}_{\text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!2 ~~ 3\!:\!1 \\ 20 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!2 ~~ 3\!:\!1 \\ 20 \end{array}</math></p> | ||
|- | |- | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 21 Big.jpg|105px]]</p><br> | <p>[[Image:Rote 21 Big.jpg|105px]]</p><br> | ||
+ | <p><math>\text{p}_\text{p} \text{p}_{\text{p}^\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 2\!:\!1 ~~ 4\!:\!1 \\ 21 \end{array}</math></p> | <p><math>\begin{array}{l} 2\!:\!1 ~~ 4\!:\!1 \\ 21 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 22 Big.jpg|80px]]</p><br> | <p>[[Image:Rote 22 Big.jpg|80px]]</p><br> | ||
+ | <p><math>\text{p} \text{p}_{\text{p}_{\text{p}_\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!1 ~~ 5\!:\!1 \\ 22 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!1 ~~ 5\!:\!1 \\ 22 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 23 Big.jpg|80px]]</p><br> | <p>[[Image:Rote 23 Big.jpg|80px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}_\text{p}^\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 9\!:\!1 \\ 23 \end{array}</math></p> | <p><math>\begin{array}{l} 9\!:\!1 \\ 23 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 24 Big.jpg|105px]]</p><br> | <p>[[Image:Rote 24 Big.jpg|105px]]</p><br> | ||
+ | <p><math>\text{p}^{\text{p}_\text{p}} \text{p}_\text{p}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!3 ~~ 2\!:\!1 \\ 24 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!3 ~~ 2\!:\!1 \\ 24 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 25 Big.jpg|80px]]</p><br> | <p>[[Image:Rote 25 Big.jpg|80px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}_\text{p}}^\text{p}\!</math></p><br> | ||
<p><math>\begin{array}{l} 3\!:\!2 \\ 25 \end{array}</math></p> | <p><math>\begin{array}{l} 3\!:\!2 \\ 25 \end{array}</math></p> | ||
|- | |- | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 26 Big.jpg|120px]]</p><br> | <p>[[Image:Rote 26 Big.jpg|120px]]</p><br> | ||
+ | <p><math>\text{p} \text{p}_{\text{p} \text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!1 ~~ 6\!:\!1 \\ 26 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!1 ~~ 6\!:\!1 \\ 26 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 27 Big.jpg|80px]]</p><br> | <p>[[Image:Rote 27 Big.jpg|80px]]</p><br> | ||
+ | <p><math>\text{p}_\text{p}^{\text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 2\!:\!3 \\ 27 \end{array}</math></p> | <p><math>\begin{array}{l} 2\!:\!3 \\ 27 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 28 Big.jpg|130px]]</p><br> | <p>[[Image:Rote 28 Big.jpg|130px]]</p><br> | ||
+ | <p><math>\text{p}^\text{p} \text{p}_{\text{p}^\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!2 ~~ 4\!:\!1 \\ 28 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!2 ~~ 4\!:\!1 \\ 28 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 29 Big.jpg|80px]]</p><br> | <p>[[Image:Rote 29 Big.jpg|80px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p} \text{p}_{\text{p}_\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 10\!:\!1 \\ 29 \end{array}</math></p> | <p><math>\begin{array}{l} 10\!:\!1 \\ 29 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 30 Big.jpg|120px]]</p><br> | <p>[[Image:Rote 30 Big.jpg|120px]]</p><br> | ||
+ | <p><math>\text{p} \text{p}_\text{p} \text{p}_{\text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!1 ~~ 2\!:\!1 ~~ 3\!:\!1 \\ 30 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!1 ~~ 2\!:\!1 ~~ 3\!:\!1 \\ 30 \end{array}</math></p> | ||
|- | |- | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 31 Big.jpg|40px]]</p><br> | <p>[[Image:Rote 31 Big.jpg|40px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}_{\text{p}_{\text{p}_\text{p}}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 11\!:\!1 \\ 31 \end{array}</math></p> | <p><math>\begin{array}{l} 11\!:\!1 \\ 31 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 32 Big.jpg|65px]]</p><br> | <p>[[Image:Rote 32 Big.jpg|65px]]</p><br> | ||
+ | <p><math>\text{p}^{\text{p}_{\text{p}_\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!5 \\ 32 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!5 \\ 32 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 33 Big.jpg|80px]]</p><br> | <p>[[Image:Rote 33 Big.jpg|80px]]</p><br> | ||
+ | <p><math>\text{p}_\text{p} \text{p}_{\text{p}_{\text{p}_\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 2\!:\!1 ~~ 5\!:\!1 \\ 33 \end{array}</math></p> | <p><math>\begin{array}{l} 2\!:\!1 ~~ 5\!:\!1 \\ 33 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 34 Big.jpg|105px]]</p><br> | <p>[[Image:Rote 34 Big.jpg|105px]]</p><br> | ||
+ | <p><math>\text{p} \text{p}_{\text{p}_{\text{p}^\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!1 ~~ 7\!:\!1 \\ 34 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!1 ~~ 7\!:\!1 \\ 34 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 35 Big.jpg|105px]]</p><br> | <p>[[Image:Rote 35 Big.jpg|105px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}_\text{p}} \text{p}_{\text{p}^\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 3\!:\!1 ~~ 4\!:\!1 \\ 35 \end{array}</math></p> | <p><math>\begin{array}{l} 3\!:\!1 ~~ 4\!:\!1 \\ 35 \end{array}</math></p> | ||
|- | |- | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 36 Big.jpg|145px]]</p><br> | <p>[[Image:Rote 36 Big.jpg|145px]]</p><br> | ||
+ | <p><math>\text{p}^\text{p} \text{p}_\text{p}^\text{p}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!2 ~~ 2\!:\!2 \\ 36 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!2 ~~ 2\!:\!2 \\ 36 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 37 Big.jpg|105px]]</p><br> | <p>[[Image:Rote 37 Big.jpg|105px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}^\text{p} \text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 12\!:\!1 \\ 37 \end{array}</math></p> | <p><math>\begin{array}{l} 12\!:\!1 \\ 37 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 38 Big.jpg|105px]]</p><br> | <p>[[Image:Rote 38 Big.jpg|105px]]</p><br> | ||
+ | <p><math>\text{p} \text{p}_{\text{p}^{\text{p}_\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!1 ~~ 8\!:\!1 \\ 38 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!1 ~~ 8\!:\!1 \\ 38 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 39 Big.jpg|120px]]</p><br> | <p>[[Image:Rote 39 Big.jpg|120px]]</p><br> | ||
+ | <p><math>\text{p}_\text{p} \text{p}_{\text{p} \text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 2\!:\!1 ~~ 6\!:\!1 \\ 39 \end{array}</math></p> | <p><math>\begin{array}{l} 2\!:\!1 ~~ 6\!:\!1 \\ 39 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 40 Big.jpg|105px]]</p><br> | <p>[[Image:Rote 40 Big.jpg|105px]]</p><br> | ||
+ | <p><math>\text{p}^{\text{p}_\text{p}} \text{p}_{\text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!3 ~~ 3\!:\!1 \\ 40 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!3 ~~ 3\!:\!1 \\ 40 \end{array}</math></p> | ||
|- | |- | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 41 Big.jpg|80px]]</p><br> | <p>[[Image:Rote 41 Big.jpg|80px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}_{\text{p} \text{p}_\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 13\!:\!1 \\ 41 \end{array}</math></p> | <p><math>\begin{array}{l} 13\!:\!1 \\ 41 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 42 Big.jpg|145px]]</p><br> | <p>[[Image:Rote 42 Big.jpg|145px]]</p><br> | ||
+ | <p><math>\text{p} \text{p}_\text{p} \text{p}_{\text{p}^\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!1 ~~ 2\!:\!1 ~~ 4\!:\!1 \\ 42 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!1 ~~ 2\!:\!1 ~~ 4\!:\!1 \\ 42 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 43 Big.jpg|105px]]</p><br> | <p>[[Image:Rote 43 Big.jpg|105px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p} \text{p}_{\text{p}^\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 14\!:\!1 \\ 43 \end{array}</math></p> | <p><math>\begin{array}{l} 14\!:\!1 \\ 43 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 44 Big.jpg|105px]]</p><br> | <p>[[Image:Rote 44 Big.jpg|105px]]</p><br> | ||
+ | <p><math>\text{p}^\text{p} \text{p}_{\text{p}_{\text{p}_\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!2 ~~ 5\!:\!1 \\ 44 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!2 ~~ 5\!:\!1 \\ 44 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 45 Big.jpg|120px]]</p><br> | <p>[[Image:Rote 45 Big.jpg|120px]]</p><br> | ||
+ | <p><math>\text{p}_\text{p}^\text{p} \text{p}_{\text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 2\!:\!2 ~~ 3\!:\!1 \\ 45 \end{array}</math></p> | <p><math>\begin{array}{l} 2\!:\!2 ~~ 3\!:\!1 \\ 45 \end{array}</math></p> | ||
|- | |- | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 46 Big.jpg|120px]]</p><br> | <p>[[Image:Rote 46 Big.jpg|120px]]</p><br> | ||
+ | <p><math>\text{p} \text{p}_{\text{p}_\text{p}^\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!1 ~~ 9\!:\!1 \\ 46 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!1 ~~ 9\!:\!1 \\ 46 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 47 Big.jpg|80px]]</p><br> | <p>[[Image:Rote 47 Big.jpg|80px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}_\text{p} \text{p}_{\text{p}_\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 15\!:\!1 \\ 47 \end{array}</math></p> | <p><math>\begin{array}{l} 15\!:\!1 \\ 47 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 48 Big.jpg|105px]]</p><br> | <p>[[Image:Rote 48 Big.jpg|105px]]</p><br> | ||
+ | <p><math>\text{p}^{\text{p}^\text{p}} \text{p}_\text{p}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!4 ~~ 2\!:\!1 \\ 48 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!4 ~~ 2\!:\!1 \\ 48 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 49 Big.jpg|80px]]</p><br> | <p>[[Image:Rote 49 Big.jpg|80px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}^\text{p}}^\text{p}\!</math></p><br> | ||
<p><math>\begin{array}{l} 4\!:\!2 \\ 49 \end{array}</math></p> | <p><math>\begin{array}{l} 4\!:\!2 \\ 49 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 50 Big.jpg|120px]]</p><br> | <p>[[Image:Rote 50 Big.jpg|120px]]</p><br> | ||
+ | <p><math>\text{p} \text{p}_{\text{p}_\text{p}}^\text{p}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!1 ~~ 3\!:\!2 \\ 50 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!1 ~~ 3\!:\!2 \\ 50 \end{array}</math></p> | ||
|- | |- | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 51 Big.jpg|105px]]</p><br> | <p>[[Image:Rote 51 Big.jpg|105px]]</p><br> | ||
+ | <p><math>\text{p}_\text{p} \text{p}_{\text{p}_{\text{p}^\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 2\!:\!1 ~~ 7\!:\!1 \\ 51 \end{array}</math></p> | <p><math>\begin{array}{l} 2\!:\!1 ~~ 7\!:\!1 \\ 51 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 52 Big.jpg|145px]]</p><br> | <p>[[Image:Rote 52 Big.jpg|145px]]</p><br> | ||
+ | <p><math>\text{p}^\text{p} \text{p}_{\text{p} \text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!2 ~~ 6\!:\!1 \\ 52 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!2 ~~ 6\!:\!1 \\ 52 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 53 Big.jpg|90px]]</p><br> | <p>[[Image:Rote 53 Big.jpg|90px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}^{\text{p}^\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 16\!:\!1 \\ 53 \end{array}</math></p> | <p><math>\begin{array}{l} 16\!:\!1 \\ 53 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 54 Big.jpg|120px]]</p><br> | <p>[[Image:Rote 54 Big.jpg|120px]]</p><br> | ||
+ | <p><math>\text{p} \text{p}_\text{p}^{\text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!1 ~~ 2\!:\!3 \\ 54 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!1 ~~ 2\!:\!3 \\ 54 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 55 Big.jpg|80px]]</p><br> | <p>[[Image:Rote 55 Big.jpg|80px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}_\text{p}} \text{p}_{\text{p}_{\text{p}_\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 3\!:\!1 ~~ 5\!:\!1 \\ 55 \end{array}</math></p> | <p><math>\begin{array}{l} 3\!:\!1 ~~ 5\!:\!1 \\ 55 \end{array}</math></p> | ||
|- | |- | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 56 Big.jpg|130px]]</p><br> | <p>[[Image:Rote 56 Big.jpg|130px]]</p><br> | ||
+ | <p><math>\text{p}^{\text{p}_\text{p}} \text{p}_{\text{p}^\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!3 ~~ 4\!:\!1 \\ 56 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!3 ~~ 4\!:\!1 \\ 56 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 57 Big.jpg|105px]]</p><br> | <p>[[Image:Rote 57 Big.jpg|105px]]</p><br> | ||
+ | <p><math>\text{p}_\text{p} \text{p}_{\text{p}^{\text{p}_\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 2\!:\!1 ~~ 8\!:\!1 \\ 57 \end{array}</math></p> | <p><math>\begin{array}{l} 2\!:\!1 ~~ 8\!:\!1 \\ 57 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 58 Big.jpg|120px]]</p><br> | <p>[[Image:Rote 58 Big.jpg|120px]]</p><br> | ||
+ | <p><math>\text{p} \text{p}_{\text{p} \text{p}_{\text{p}_\text{p}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!1 ~~ 10\!:\!1 \\ 58 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!1 ~~ 10\!:\!1 \\ 58 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 59 Big.jpg|65px]]</p><br> | <p>[[Image:Rote 59 Big.jpg|65px]]</p><br> | ||
+ | <p><math>\text{p}_{\text{p}_{\text{p}_{\text{p}^\text{p}}}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 17\!:\!1 \\ 59 \end{array}</math></p> | <p><math>\begin{array}{l} 17\!:\!1 \\ 59 \end{array}</math></p> | ||
| valign="bottom" | | | valign="bottom" | | ||
<p>[[Image:Rote 60 Big.jpg|155px]]</p><br> | <p>[[Image:Rote 60 Big.jpg|155px]]</p><br> | ||
+ | <p><math>\text{p}^\text{p} \text{p}_\text{p} \text{p}_{\text{p}_\text{p}}\!</math></p><br> | ||
<p><math>\begin{array}{l} 1\!:\!2 ~~ 2\!:\!1 ~~ 3\!:\!1 \\ 60 \end{array}</math></p> | <p><math>\begin{array}{l} 1\!:\!2 ~~ 2\!:\!1 ~~ 3\!:\!1 \\ 60 \end{array}</math></p> | ||
+ | |} | ||
+ | |||
+ | ==Miscellaneous Examples (Reduction 8:1)== | ||
+ | |||
+ | {| align="center" border="1" width="96%" | ||
+ | |+ style="height:24px" | <math>\text{Integers, Riffs, Rotes}\!</math> | ||
+ | |- style="height:50px; background:#f0f0ff" | ||
+ | | | ||
+ | {| cellpadding="12" style="background:#f0f0ff; text-align:center; width:100%" | ||
+ | | width="10%" | <math>\text{Integer}\!</math> | ||
+ | | width="45%" | <math>\text{Riff}\!</math> | ||
+ | | width="45%" | <math>\text{Rote}\!</math> | ||
+ | |} | ||
+ | |- | ||
+ | | | ||
+ | {| cellpadding="12" style="text-align:center; width:100%" | ||
+ | | width="10%" | <math>1\!</math> | ||
+ | | width="45%" | | ||
+ | | width="45%" | [[Image:Rote 1 Big.jpg|15px]] | ||
+ | |- | ||
+ | | <math>2\!</math> | ||
+ | | [[Image:Riff 2 Big.jpg|15px]] | ||
+ | | [[Image:Rote 2 Big.jpg|30px]] | ||
+ | |- | ||
+ | | <math>3\!</math> | ||
+ | | [[Image:Riff 3 Big.jpg|30px]] | ||
+ | | [[Image:Rote 3 Big.jpg|30px]] | ||
+ | |- | ||
+ | | <math>4\!</math> | ||
+ | | [[Image:Riff 4 Big.jpg|30px]] | ||
+ | | [[Image:Rote 4 Big.jpg|48px]] | ||
+ | |- | ||
+ | | <math>2010\!</math> | ||
+ | | [[Image:Riff 2010 Big.jpg|138px]] | ||
+ | | [[Image:Rote 2010 Big.jpg|144px]] | ||
+ | |- | ||
+ | | <math>2011\!</math> | ||
+ | | [[Image:Riff 2011 Big.jpg|84px]] | ||
+ | | [[Image:Rote 2011 Big.jpg|120px]] | ||
+ | |- | ||
+ | | <math>2500\!</math> | ||
+ | | [[Image:Riff 2500 Big.jpg|66px]] | ||
+ | | [[Image:Rote 2500 Big.jpg|125px]] | ||
+ | |- | ||
+ | | <math>802701\!</math> | ||
+ | | [[Image:Riff 802701 Big.jpg|156px]] | ||
+ | | [[Image:Rote 802701 Big.jpg|245px]] | ||
+ | |- | ||
+ | | <math>123456789\!</math> | ||
+ | | [[Image:Riff 123456789 Big.jpg|162px]] | ||
+ | | [[Image:Rote 123456789 Big.jpg|256px]] | ||
+ | |} | ||
|} | |} | ||
Latest revision as of 18:52, 7 January 2011
Animations
Riffs 1 to 60
Rotes 1 to 60
Image Gallery
Reduction 6:1
Cacti
Image | Scale |
117 px ↓ 20 px | |
117 px ↓ 20 px |
Riffs
Rotes
Reduction 10:1
Cacti
Image | Scale |
117 px ↓ 12 px | |
117 px ↓ 12 px |
Riffs
Rotes
Riffs in Numerical Order
\(1\!\) \(\begin{array}{l} \varnothing \\ 1 \end{array}\) |
\(\text{p}\!\) \(\begin{array}{l} 1\!:\!1 \\ 2 \end{array}\) |
\(\text{p}_\text{p}\!\) \(\begin{array}{l} 2\!:\!1 \\ 3 \end{array}\) |
\(\text{p}^\text{p}\!\) \(\begin{array}{l} 1\!:\!2 \\ 4 \end{array}\) |
\(\text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 3\!:\!1 \\ 5 \end{array}\) |
\(\text{p} \text{p}_\text{p}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 2\!:\!1 \\ 6 \end{array}\) |
\(\text{p}_{\text{p}^\text{p}}\!\) \(\begin{array}{l} 4\!:\!1 \\ 7 \end{array}\) |
\(\text{p}^{\text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!3 \\ 8 \end{array}\) |
\(\text{p}_\text{p}^\text{p}\!\) \(\begin{array}{l} 2\!:\!2 \\ 9 \end{array}\) |
\(\text{p} \text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 3\!:\!1 \\ 10 \end{array}\) |
\(\text{p}_{\text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 5\!:\!1 \\ 11 \end{array}\) |
\(\text{p}^\text{p} \text{p}_\text{p}\!\) \(\begin{array}{l} 1\!:\!2 ~~ 2\!:\!1 \\ 12 \end{array}\) |
\(\text{p}_{\text{p} \text{p}_\text{p}}\!\) \(\begin{array}{l} 6\!:\!1 \\ 13 \end{array}\) |
\(\text{p} \text{p}_{\text{p}^\text{p}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 4\!:\!1 \\ 14 \end{array}\) |
\(\text{p}_\text{p} \text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 2\!:\!1 ~~ 3\!:\!1 \\ 15 \end{array}\) |
\(\text{p}^{\text{p}^\text{p}}\!\) \(\begin{array}{l} 1\!:\!4 \\ 16 \end{array}\) |
\(\text{p}_{\text{p}_{\text{p}^\text{p}}}\!\) \(\begin{array}{l} 7\!:\!1 \\ 17 \end{array}\) |
\(\text{p} \text{p}_\text{p}^\text{p}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 2\!:\!2 \\ 18 \end{array}\) |
\(\text{p}_{\text{p}^{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 8\!:\!1 \\ 19 \end{array}\) |
\(\text{p}^\text{p} \text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!2 ~~ 3\!:\!1 \\ 20 \end{array}\) |
\(\text{p}_\text{p} \text{p}_{\text{p}^\text{p}}\!\) \(\begin{array}{l} 2\!:\!1 ~~ 4\!:\!1 \\ 21 \end{array}\) |
\(\text{p} \text{p}_{\text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 5\!:\!1 \\ 22 \end{array}\) |
\(\text{p}_{\text{p}_\text{p}^\text{p}}\!\) \(\begin{array}{l} 9\!:\!1 \\ 23 \end{array}\) |
\(\text{p}^{\text{p}_\text{p}} \text{p}_\text{p}\!\) \(\begin{array}{l} 1\!:\!3 ~~ 2\!:\!1 \\ 24 \end{array}\) |
\(\text{p}_{\text{p}_\text{p}}^\text{p}\!\) \(\begin{array}{l} 3\!:\!2 \\ 25 \end{array}\) |
\(\text{p} \text{p}_{\text{p} \text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 6\!:\!1 \\ 26 \end{array}\) |
\(\text{p}_\text{p}^{\text{p}_\text{p}}\!\) \(\begin{array}{l} 2\!:\!3 \\ 27 \end{array}\) |
\(\text{p}^\text{p} \text{p}_{\text{p}^\text{p}}\!\) \(\begin{array}{l} 1\!:\!2 ~~ 4\!:\!1 \\ 28 \end{array}\) |
\(\text{p}_{\text{p} \text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 10\!:\!1 \\ 29 \end{array}\) |
\(\text{p} \text{p}_\text{p} \text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 2\!:\!1 ~~ 3\!:\!1 \\ 30 \end{array}\) |
\(\text{p}_{\text{p}_{\text{p}_{\text{p}_\text{p}}}}\!\) \(\begin{array}{l} 11\!:\!1 \\ 31 \end{array}\) |
\(\text{p}^{\text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 1\!:\!5 \\ 32 \end{array}\) |
\(\text{p}_\text{p} \text{p}_{\text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 2\!:\!1 ~~ 5\!:\!1 \\ 33 \end{array}\) |
\(\text{p} \text{p}_{\text{p}_{\text{p}^\text{p}}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 7\!:\!1 \\ 34 \end{array}\) |
\(\text{p}_{\text{p}_\text{p}} \text{p}_{\text{p}^\text{p}}\!\) \(\begin{array}{l} 3\!:\!1 ~~ 4\!:\!1 \\ 35 \end{array}\) |
\(\text{p}^\text{p} \text{p}_\text{p}^\text{p}\!\) \(\begin{array}{l} 1\!:\!2 ~~ 2\!:\!2 \\ 36 \end{array}\) |
\(\text{p}_{\text{p}^\text{p} \text{p}_\text{p}}\!\) \(\begin{array}{l} 12\!:\!1 \\ 37 \end{array}\) |
\(\text{p} \text{p}_{\text{p}^{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 8\!:\!1 \\ 38 \end{array}\) |
\(\text{p}_\text{p} \text{p}_{\text{p} \text{p}_\text{p}}\!\) \(\begin{array}{l} 2\!:\!1 ~~ 6\!:\!1 \\ 39 \end{array}\) |
\(\text{p}^{\text{p}_\text{p}} \text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!3 ~~ 3\!:\!1 \\ 40 \end{array}\) |
\(\text{p}_{\text{p}_{\text{p} \text{p}_\text{p}}}\!\) \(\begin{array}{l} 13\!:\!1 \\ 41 \end{array}\) |
\(\text{p} \text{p}_\text{p} \text{p}_{\text{p}^\text{p}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 2\!:\!1 ~~ 4\!:\!1 \\ 42 \end{array}\) |
\(\text{p}_{\text{p} \text{p}_{\text{p}^\text{p}}}\!\) \(\begin{array}{l} 14\!:\!1 \\ 43 \end{array}\) |
\(\text{p}^\text{p} \text{p}_{\text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 1\!:\!2 ~~ 5\!:\!1 \\ 44 \end{array}\) |
\(\text{p}_\text{p}^\text{p} \text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 2\!:\!2 ~~ 3\!:\!1 \\ 45 \end{array}\) |
\(\text{p} \text{p}_{\text{p}_\text{p}^\text{p}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 9\!:\!1 \\ 46 \end{array}\) |
\(\text{p}_{\text{p}_\text{p} \text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 15\!:\!1 \\ 47 \end{array}\) |
\(\text{p}^{\text{p}^\text{p}} \text{p}_\text{p}\!\) \(\begin{array}{l} 1\!:\!4 ~~ 2\!:\!1 \\ 48 \end{array}\) |
\(\text{p}_{\text{p}^\text{p}}^\text{p}\!\) \(\begin{array}{l} 4\!:\!2 \\ 49 \end{array}\) |
\(\text{p} \text{p}_{\text{p}_\text{p}}^\text{p}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 3\!:\!2 \\ 50 \end{array}\) |
\(\text{p}_\text{p} \text{p}_{\text{p}_{\text{p}^\text{p}}}\!\) \(\begin{array}{l} 2\!:\!1 ~~ 7\!:\!1 \\ 51 \end{array}\) |
\(\text{p}^\text{p} \text{p}_{\text{p} \text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!2 ~~ 6\!:\!1 \\ 52 \end{array}\) |
\(\text{p}_{\text{p}^{\text{p}^\text{p}}}\!\) \(\begin{array}{l} 16\!:\!1 \\ 53 \end{array}\) |
\(\text{p} \text{p}_\text{p}^{\text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 2\!:\!3 \\ 54 \end{array}\) |
\(\text{p}_{\text{p}_\text{p}} \text{p}_{\text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 3\!:\!1 ~~ 5\!:\!1 \\ 55 \end{array}\) |
\(\text{p}^{\text{p}_\text{p}} \text{p}_{\text{p}^\text{p}}\!\) \(\begin{array}{l} 1\!:\!3 ~~ 4\!:\!1 \\ 56 \end{array}\) |
\(\text{p}_\text{p} \text{p}_{\text{p}^{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 2\!:\!1 ~~ 8\!:\!1 \\ 57 \end{array}\) |
\(\text{p} \text{p}_{\text{p} \text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 10\!:\!1 \\ 58 \end{array}\) |
\(\text{p}_{\text{p}_{\text{p}_{\text{p}^\text{p}}}}\!\) \(\begin{array}{l} 17\!:\!1 \\ 59 \end{array}\) |
\(\text{p}^\text{p} \text{p}_\text{p} \text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!2 ~~ 2\!:\!1 ~~ 3\!:\!1 \\ 60 \end{array}\) |
Rotes in Numerical Order
\(1\!\) \(\begin{array}{l} \varnothing \\ 1 \end{array}\) |
\(\text{p}\!\) \(\begin{array}{l} 1\!:\!1 \\ 2 \end{array}\) |
\(\text{p}_\text{p}\!\) \(\begin{array}{l} 2\!:\!1 \\ 3 \end{array}\) |
\(\text{p}^\text{p}\!\) \(\begin{array}{l} 1\!:\!2 \\ 4 \end{array}\) |
\(\text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 3\!:\!1 \\ 5 \end{array}\) |
\(\text{p} \text{p}_\text{p}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 2\!:\!1 \\ 6 \end{array}\) |
\(\text{p}_{\text{p}^\text{p}}\!\) \(\begin{array}{l} 4\!:\!1 \\ 7 \end{array}\) |
\(\text{p}^{\text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!3 \\ 8 \end{array}\) |
\(\text{p}_\text{p}^\text{p}\!\) \(\begin{array}{l} 2\!:\!2 \\ 9 \end{array}\) |
\(\text{p} \text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 3\!:\!1 \\ 10 \end{array}\) |
\(\text{p}_{\text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 5\!:\!1 \\ 11 \end{array}\) |
\(\text{p}^\text{p} \text{p}_\text{p}\!\) \(\begin{array}{l} 1\!:\!2 ~~ 2\!:\!1 \\ 12 \end{array}\) |
\(\text{p}_{\text{p} \text{p}_\text{p}}\!\) \(\begin{array}{l} 6\!:\!1 \\ 13 \end{array}\) |
\(\text{p} \text{p}_{\text{p}^\text{p}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 4\!:\!1 \\ 14 \end{array}\) |
\(\text{p}_\text{p} \text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 2\!:\!1 ~~ 3\!:\!1 \\ 15 \end{array}\) |
\(\text{p}^{\text{p}^\text{p}}\!\) \(\begin{array}{l} 1\!:\!4 \\ 16 \end{array}\) |
\(\text{p}_{\text{p}_{\text{p}^\text{p}}}\!\) \(\begin{array}{l} 7\!:\!1 \\ 17 \end{array}\) |
\(\text{p} \text{p}_\text{p}^\text{p}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 2\!:\!2 \\ 18 \end{array}\) |
\(\text{p}_{\text{p}^{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 8\!:\!1 \\ 19 \end{array}\) |
\(\text{p}^\text{p} \text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!2 ~~ 3\!:\!1 \\ 20 \end{array}\) |
\(\text{p}_\text{p} \text{p}_{\text{p}^\text{p}}\!\) \(\begin{array}{l} 2\!:\!1 ~~ 4\!:\!1 \\ 21 \end{array}\) |
\(\text{p} \text{p}_{\text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 5\!:\!1 \\ 22 \end{array}\) |
\(\text{p}_{\text{p}_\text{p}^\text{p}}\!\) \(\begin{array}{l} 9\!:\!1 \\ 23 \end{array}\) |
\(\text{p}^{\text{p}_\text{p}} \text{p}_\text{p}\!\) \(\begin{array}{l} 1\!:\!3 ~~ 2\!:\!1 \\ 24 \end{array}\) |
\(\text{p}_{\text{p}_\text{p}}^\text{p}\!\) \(\begin{array}{l} 3\!:\!2 \\ 25 \end{array}\) |
\(\text{p} \text{p}_{\text{p} \text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 6\!:\!1 \\ 26 \end{array}\) |
\(\text{p}_\text{p}^{\text{p}_\text{p}}\!\) \(\begin{array}{l} 2\!:\!3 \\ 27 \end{array}\) |
\(\text{p}^\text{p} \text{p}_{\text{p}^\text{p}}\!\) \(\begin{array}{l} 1\!:\!2 ~~ 4\!:\!1 \\ 28 \end{array}\) |
\(\text{p}_{\text{p} \text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 10\!:\!1 \\ 29 \end{array}\) |
\(\text{p} \text{p}_\text{p} \text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 2\!:\!1 ~~ 3\!:\!1 \\ 30 \end{array}\) |
\(\text{p}_{\text{p}_{\text{p}_{\text{p}_\text{p}}}}\!\) \(\begin{array}{l} 11\!:\!1 \\ 31 \end{array}\) |
\(\text{p}^{\text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 1\!:\!5 \\ 32 \end{array}\) |
\(\text{p}_\text{p} \text{p}_{\text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 2\!:\!1 ~~ 5\!:\!1 \\ 33 \end{array}\) |
\(\text{p} \text{p}_{\text{p}_{\text{p}^\text{p}}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 7\!:\!1 \\ 34 \end{array}\) |
\(\text{p}_{\text{p}_\text{p}} \text{p}_{\text{p}^\text{p}}\!\) \(\begin{array}{l} 3\!:\!1 ~~ 4\!:\!1 \\ 35 \end{array}\) |
\(\text{p}^\text{p} \text{p}_\text{p}^\text{p}\!\) \(\begin{array}{l} 1\!:\!2 ~~ 2\!:\!2 \\ 36 \end{array}\) |
\(\text{p}_{\text{p}^\text{p} \text{p}_\text{p}}\!\) \(\begin{array}{l} 12\!:\!1 \\ 37 \end{array}\) |
\(\text{p} \text{p}_{\text{p}^{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 8\!:\!1 \\ 38 \end{array}\) |
\(\text{p}_\text{p} \text{p}_{\text{p} \text{p}_\text{p}}\!\) \(\begin{array}{l} 2\!:\!1 ~~ 6\!:\!1 \\ 39 \end{array}\) |
\(\text{p}^{\text{p}_\text{p}} \text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!3 ~~ 3\!:\!1 \\ 40 \end{array}\) |
\(\text{p}_{\text{p}_{\text{p} \text{p}_\text{p}}}\!\) \(\begin{array}{l} 13\!:\!1 \\ 41 \end{array}\) |
\(\text{p} \text{p}_\text{p} \text{p}_{\text{p}^\text{p}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 2\!:\!1 ~~ 4\!:\!1 \\ 42 \end{array}\) |
\(\text{p}_{\text{p} \text{p}_{\text{p}^\text{p}}}\!\) \(\begin{array}{l} 14\!:\!1 \\ 43 \end{array}\) |
\(\text{p}^\text{p} \text{p}_{\text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 1\!:\!2 ~~ 5\!:\!1 \\ 44 \end{array}\) |
\(\text{p}_\text{p}^\text{p} \text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 2\!:\!2 ~~ 3\!:\!1 \\ 45 \end{array}\) |
\(\text{p} \text{p}_{\text{p}_\text{p}^\text{p}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 9\!:\!1 \\ 46 \end{array}\) |
\(\text{p}_{\text{p}_\text{p} \text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 15\!:\!1 \\ 47 \end{array}\) |
\(\text{p}^{\text{p}^\text{p}} \text{p}_\text{p}\!\) \(\begin{array}{l} 1\!:\!4 ~~ 2\!:\!1 \\ 48 \end{array}\) |
\(\text{p}_{\text{p}^\text{p}}^\text{p}\!\) \(\begin{array}{l} 4\!:\!2 \\ 49 \end{array}\) |
\(\text{p} \text{p}_{\text{p}_\text{p}}^\text{p}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 3\!:\!2 \\ 50 \end{array}\) |
\(\text{p}_\text{p} \text{p}_{\text{p}_{\text{p}^\text{p}}}\!\) \(\begin{array}{l} 2\!:\!1 ~~ 7\!:\!1 \\ 51 \end{array}\) |
\(\text{p}^\text{p} \text{p}_{\text{p} \text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!2 ~~ 6\!:\!1 \\ 52 \end{array}\) |
\(\text{p}_{\text{p}^{\text{p}^\text{p}}}\!\) \(\begin{array}{l} 16\!:\!1 \\ 53 \end{array}\) |
\(\text{p} \text{p}_\text{p}^{\text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 2\!:\!3 \\ 54 \end{array}\) |
\(\text{p}_{\text{p}_\text{p}} \text{p}_{\text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 3\!:\!1 ~~ 5\!:\!1 \\ 55 \end{array}\) |
\(\text{p}^{\text{p}_\text{p}} \text{p}_{\text{p}^\text{p}}\!\) \(\begin{array}{l} 1\!:\!3 ~~ 4\!:\!1 \\ 56 \end{array}\) |
\(\text{p}_\text{p} \text{p}_{\text{p}^{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 2\!:\!1 ~~ 8\!:\!1 \\ 57 \end{array}\) |
\(\text{p} \text{p}_{\text{p} \text{p}_{\text{p}_\text{p}}}\!\) \(\begin{array}{l} 1\!:\!1 ~~ 10\!:\!1 \\ 58 \end{array}\) |
\(\text{p}_{\text{p}_{\text{p}_{\text{p}^\text{p}}}}\!\) \(\begin{array}{l} 17\!:\!1 \\ 59 \end{array}\) |
\(\text{p}^\text{p} \text{p}_\text{p} \text{p}_{\text{p}_\text{p}}\!\) \(\begin{array}{l} 1\!:\!2 ~~ 2\!:\!1 ~~ 3\!:\!1 \\ 60 \end{array}\) |
Miscellaneous Examples (Reduction 8:1)
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Cactus Graphs
Hi Res
Lo Res
Differential Logic
ASCII Graphics
Series 1
o-------------------------------------------------o | | | | | o-------------o o-------------o | | / \ / \ | | / o \ | | / /%\ \ | | / /%%%\ \ | | o o%%%%%o o | | | |%%%%%| | | | | P |%%%%%| Q | | | | |%%%%%| | | | o o%%%%%o o | | \ \%%%/ / | | \ \%/ / | | \ o / | | \ / \ / | | o-------------o o-------------o | | | | | o-------------------------------------------------o | f = p q | o-------------------------------------------------o Figure 22-a. Conjunction pq : X -> B |
o-------------------------------------------------o | | | | | o-------------o o-------------o | | / \ / \ | | / P o Q \ | | / /%\ \ | | / /%%%\ \ | | o o.->-.o o | | | p(q)(dp)dq |%\%/%| (p)q dp(dq) | | | | o---------------|->o<-|---------------o | | | | |%%^%%| | | | o o%%|%%o o | | \ \%|%/ / | | \ \|/ / | | \ o / | | \ /|\ / | | o-------------o | o-------------o | | | | | | | | | | | o | | (p)(q) dp dq | | | o-------------------------------------------------o | f = p q | o-------------------------------------------------o | | | Ef = p q (dp)(dq) | | | | + p (q) (dp) dq | | | | + (p) q dp (dq) | | | | + (p)(q) dp dq | | | o-------------------------------------------------o Figure 22-b. Enlargement E[pq] : EX -> B |
o-------------------------------------------------o | | | | | o-------------o o-------------o | | / \ / \ | | / P o Q \ | | / /%\ \ | | / /%%%\ \ | | o o%%%%%o o | | | (dp)dq |%%%%%| dp(dq) | | | | o<--------------|->o<-|-------------->o | | | | |%%^%%| | | | o o%%|%%o o | | \ \%|%/ / | | \ \|/ / | | \ o / | | \ /|\ / | | o-------------o | o-------------o | | | | | | | | v | | o | | dp dq | | | o-------------------------------------------------o | f = p q | o-------------------------------------------------o | | | Df = p q ((dp)(dq)) | | | | + p (q) (dp) dq | | | | + (p) q dp (dq) | | | | + (p)(q) dp dq | | | o-------------------------------------------------o Figure 22-c. Difference D[pq] : EX -> B |
o---------------------------------------------------------------------o | | | X | | o-------------------o | | / \ | | / \ | | / \ | | / \ | | / \ | | / \ | | / \ | | o o | | | | | | | | | | | | | | | G | | | | | | | | | | | | | | | o o | | \ / | | \ / | | \ T / | | \ o<------------/-------------o | | \ / | | \ / | | \ / | | o-------------------o | | | | | o---------------------------------------------------------------------o Figure 23. Elements of a Cybernetic System |
Series 2
o---------------------------------------------------------------------o | | | X | | o-------------------o o-------------------o | | / \ / \ | | / o \ | | / /%\ \ | | / /%%%\ \ | | / /%%%%%\ \ | | / /%%%%%%%\ \ | | / /%%%%%%%%%\ \ | | o o%%%%%%%%%%%o o | | | |%%%%%%%%%%%| | | | | |%%%%%%%%%%%| | | | | |%%%%%%%%%%%| | | | | P |%%%%%%%%%%%| Q | | | | |%%%%%%%%%%%| | | | | |%%%%%%%%%%%| | | | | |%%%%%%%%%%%| | | | o o%%%%%%%%%%%o o | | \ \%%%%%%%%%/ / | | \ \%%%%%%%/ / | | \ \%%%%%/ / | | \ \%%%/ / | | \ \%/ / | | \ o / | | \ / \ / | | o-------------------o o-------------------o | | | | | o---------------------------------------------------------------------o Figure 24-1. Proposition pq : X -> B |
o---------------------------------------------------------------------o | | | X | | o-------------------o o-------------------o | | / \ / \ | | / P o Q \ | | / / \ \ | | / / \ \ | | / / \ \ | | / / \ \ | | / / \ \ | | o o (dp) (dq) o o | | | | o-->--o | | | | | | \ / | | | | | (dp) dq | \ / | dp (dq) | | | | o<-----------------o----------------->o | | | | | | | | | | | | | | | | | | | | | | | | o o | o o | | \ \ | / / | | \ \ | / / | | \ \ | / / | | \ \ | / / | | \ \|/ / | | \ | / | | \ /|\ / | | o-------------------o | o-------------------o | | | | | dp | dq | | | | | v | | o | | | o---------------------------------------------------------------------o Figure 24-2. Tacit Extension !e![pq] : EX -> B |
o---------------------------------------------------------------------o | | | X | | o-------------------o o-------------------o | | / \ / \ | | / P o Q \ | | / / \ \ | | / / \ \ | | / / \ \ | | / / \ \ | | / / \ \ | | o o (dp) (dq) o o | | | | o-->--o | | | | | | \ / | | | | | (dp) dq | \ / | dp (dq) | | | | o----------------->o<-----------------o | | | | | ^ | | | | | | | | | | | | | | | | | | o o | o o | | \ \ | / / | | \ \ | / / | | \ \ | / / | | \ \ | / / | | \ \|/ / | | \ | / | | \ /|\ / | | o-------------------o | o-------------------o | | | | | dp | dq | | | | | | | | o | | | o---------------------------------------------------------------------o Figure 25-1. Enlargement E[pq] : EX -> B |
o---------------------------------------------------------------------o | | | X | | o-------------------o o-------------------o | | / \ / \ | | / P o Q \ | | / / \ \ | | / / \ \ | | / / \ \ | | / / \ \ | | / / \ \ | | o o o o | | | | | | | | | | | | | | | (dp) dq | | dp (dq) | | | | o<---------------->o<---------------->o | | | | | ^ | | | | | | | | | | | | | | | | | | o o | o o | | \ \ | / / | | \ \ | / / | | \ \ | / / | | \ \ | / / | | \ \|/ / | | \ | / | | \ /|\ / | | o-------------------o | o-------------------o | | | | | dp | dq | | | | | v | | o | | | o---------------------------------------------------------------------o Figure 25-2. Difference Map D[pq] : EX -> B |
o---------------------------------------------------------------------o | | | X | | o-------------------o o-------------------o | | / \ / \ | | / P o Q \ | | / / \ \ | | / / \ \ | | / / \ \ | | / / o \ \ | | / / ^ ^ \ \ | | o o / \ o o | | | | / \ | | | | | | / \ | | | | | |/ \| | | | | (dp)/ dq dp \(dq) | | | | /| |\ | | | | / | | \ | | | | / | | \ | | | o / o o \ o | | \ v \ dp dq / v / | | \ o<--------------------->o / | | \ \ / / | | \ \ / / | | \ \ / / | | \ o / | | \ / \ / | | o-------------------o o-------------------o | | | | | o---------------------------------------------------------------------o Figure 26-1. Differential or Tangent d[pq] : EX -> B |
o---------------------------------------------------------------------o | | | X | | o-------------------o o-------------------o | | / \ / \ | | / P o Q \ | | / / \ \ | | / / \ \ | | / / \ \ | | / / \ \ | | / / \ \ | | o o o o | | | | | | | | | | | | | | | | dp dq | | | | | o<------------------------------->o | | | | | | | | | | | | | | | | | o | | | | o o ^ o o | | \ \ | / / | | \ \ | / / | | \ \ | / / | | \ \ | / / | | \ \|/ / | | \ dp | dq / | | \ /|\ / | | o-------------------o | o-------------------o | | | | | | | | | | | v | | o | | | o---------------------------------------------------------------------o Figure 26-2. Remainder r[pq] : EX -> B |
JPEG Graphics
Series 1
\(\text{Figure 22-a. Conjunction}~ pq : X \to \mathbb{B}\) |
Series 2
\(\text{Figure 24-1. Proposition}~ pq : X \to \mathbb{B}\) |
Propositional Equation Reasoning Systems
Analysis of contingent propositions
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\(\text{Venn Diagram for}~ \texttt{(} p \texttt{~(} q \texttt{))~(} p \texttt{~(} r \texttt{))}\) |
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\(\text{Venn Diagram for}~ \texttt{(} p \texttt{~(} q ~ r \texttt{))}\) |
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Equation 1 : Proof 1
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Equation 1 : Proof 2
Single Image Version
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Serial Image Version
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Equation 1 : Proof 3
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Variant 1
o-----------------------------------------------------------o | Equation E_1. Proof 3. | o-----------------------------------------------------------o | 1 | | q o o r q o r | | | | | | | p o o p p o | | \ / | | | o---------o | | \ / | | \ / | | \ / | | \ / | | o | | | | | | | | | | | | | | @ | | | o==================================< CAST "p" >=============o | 2 | | q r q r q r qr | | o o o o o o o o o | | | | | |/ |/ |/ | | o o o o o o | | \ / | \ / | | | o-------o o-------o | | \ / \ / | | \ / \ / | | \ / \ / | | o o | | | | | | | | | | | | | | p o---------------o---o p | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | @ | | | o==================================< Domination >===========o | 3 | | q r q r | | o o o o o o | | | | | / / / | | o o o o o o | | \ / | \ / | | | o-------o o-------o | | \ / \ / | | \ / \ / | | \ / \ / | | o o | | | | | | | | | | | | | | p o---------------o---o p | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | @ | | | o==================================< Cancellation >=========o | 4 | | q r q r | | o o o | | | | | | | o o o | | \ / | | | o-------o o-------o | | \ / \ / | | \ / \ / | | \ / \ / | | o o | | | | | | | | | | | | | | p o---------------o---o p | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | @ | | | o==================================< Emptiness >============o | 5 | | q r q r | | o o o | | | | | | | o o o | | \ / | | | o-------o o | | \ / | | | \ / | | | \ / | | | o o | | | | | | | | | | | | | | p o---------------o---o p | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | @ | | | o==================================< Cancellation >=========o | 6 | | q r q r | | o o o | | | | | | | o o o | | \ / | | | o-------o | | \ / | | \ / | | \ / | | o | | | | | | | | | | | p o---------------o---o p | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | @ | | | o==================================< CAST "q" >=============o | 7 | | o o | | r r | r | | | o o o o o o r | | | | | | | | | | o o o o o o | | \ / | \ / | | | o-------o o-------o | | \ / \ / | | \ / \ / | | \ / \ / | | o o | | | | | | | | | | | | | | q o---------------o---o q | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | p o-------o---o p | | \ / | | \ / | | \ / | | @ | | | o==================================< Domination >===========o | 8 | | o o | | r r | r | | | o o o o o o | | | | | | | | | | o o o o o o | | \ / | \ / | | | o-------o o-------o | | \ / \ / | | \ / \ / | | \ / \ / | | o o | | | | | | | | | | | | | | q o---------------o---o q | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | p o-------o---o p | | \ / | | \ / | | \ / | | @ | | | o==================================< Cancellation >=========o | 9 | | r r r | | o o o | | | | | | | o o o o o | | / | \ / | | | o-------o o-------o | | \ / \ / | | \ / \ / | | \ / \ / | | o o | | | | | | | | | | | | | | q o---------------o---o q | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | p o-------o---o p | | \ / | | \ / | | \ / | | @ | | | o==================================< Domination >===========o | 10 | | r r | | o o | | | | | | o o o o | | / | \ | | | o-------o o-------o | | \ / \ / | | \ / \ / | | \ / \ / | | o o | | | | | | | | | | | | | | q o---------------o---o q | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | p o-------o---o p | | \ / | | \ / | | \ / | | @ | | | o==================================< Spike >================o | 11 | | r r | | o o | | | | | | o o | | / | | | o-------o o | | \ / | | | \ / | | | \ / | | | o o | | | | | | | | | | | | | | q o---------------o---o q | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | p o-------o---o p | | \ / | | \ / | | \ / | | @ | | | o==================================< Cancellation >=========o | 12 | | r r | | o o | | | | | | o o | | / | | | o-------o | | \ / | | \ / | | \ / | | o | | | | | | | | | | | q o---------------o---o q | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | p o-------o---o p | | \ / | | \ / | | \ / | | @ | | | o==================================< CAST "r" >=============o | 13 | | o o | | | | | | o o o o | | | | | | | | o o o o | | / | / | | | o-------o o-------o | | \ / \ / | | \ / \ / | | \ / \ / | | o o | | | | | | | | | | | | | | r o---------------o---o r | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | q o-------o---o q | | \ / | | \ / | | \ / | | p o-------o---o p | | \ / | | \ / | | \ / | | @ | | | o==================================< Cancellation >=========o | 14 | | o o | | / | | | o-------o o-------o | | \ / \ / | | \ / \ / | | \ / \ / | | o o | | | | | | | | | | | | | | r o---------------o---o r | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | q o-------o---o q | | \ / | | \ / | | \ / | | p o-------o---o p | | \ / | | \ / | | \ / | | @ | | | o==================================< Emptiness & Spike >====o | 15 | | o o 16 | | | | | | | | | | | | | | o o | | | | | | | | | | | | | | r o---------------o---o r | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | \ / | | q o-------o---o q | | \ / | | \ / | | \ / | | p o-------o---o p | | \ / | | \ / | | \ / | | @ | | | o==================================< Cancellation >=========o | 17 | | r o-------o---o r | | \ / | | \ / | | \ / | | q o-------o---o q | | \ / | | \ / | | \ / | | p o-------o---o p | | \ / | | \ / | | \ / | | @ | | | o==================================< QED >==================o |
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Variant 2
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Praeclarum Theorema : Proof by CAST
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