Acronym | siphin | ||||||||||||||||||||||||||||||||||||
Name |
small prismated hemipenteract, runcinated demipenteract, steric penteract | ||||||||||||||||||||||||||||||||||||
Field of sections |
(1/4 only) © | ||||||||||||||||||||||||||||||||||||
Circumradius | sqrt(13/8) = 1.274755 | ||||||||||||||||||||||||||||||||||||
Inradius wrt. pen | 7/sqrt(40) = 1.106797 | ||||||||||||||||||||||||||||||||||||
Inradius wrt. hex | 3/sqrt(8) = 1.060660 | ||||||||||||||||||||||||||||||||||||
Inradius wrt. tepe | 1 | ||||||||||||||||||||||||||||||||||||
Inradius wrt. spid | sqrt(5/8) = 0.790569 | ||||||||||||||||||||||||||||||||||||
Vertex figure |
© | ||||||||||||||||||||||||||||||||||||
Lace city in approx. ASCII-art |
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x3o3o o3o3x -- x3o3o *b3o (hex) o3o3u x3o3x u3o3o x3o3x -- x3o3o *b3x (gyro rit) o3o3x o3x3x x3x3o x3o3o -- o3o3x *b3x (rit) o3o3o o3x3o o3o3o -- o3o3x *b3o (gyro hex) \ \ \ \ \ \ \ +-- x3o3o3x (spid) \ \ +--------- x3x3o3o (tip) + o3o3o3u (dual u-pen) \ +---------------- o3x3o3x (inv. srip) +----------------------- o3o3o3x (dual pen) | |||||||||||||||||||||||||||||||||||||
Coordinates | (1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 3/sqrt(8)) & all permutations, all even changes of sign | ||||||||||||||||||||||||||||||||||||
Volume | 467 sqrt(2)/120 = 5.503648 | ||||||||||||||||||||||||||||||||||||
Surface | [10+20 sqrt(2)+71 sqrt(5)]/6 = 32.840850 | ||||||||||||||||||||||||||||||||||||
General of army | (is itself convex) | ||||||||||||||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polyteral members:
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Dihedral angles
(at margins) | |||||||||||||||||||||||||||||||||||||
Face vector | 80, 400, 720, 480, 82 | ||||||||||||||||||||||||||||||||||||
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3o3o *b3o3x . . . . . | 80 | 6 4 | 12 12 6 | 4 4 12 6 4 | 1 4 4 1 -------------+----+---------+-------------+-----------------+------------ x . . . . | 2 | 240 * | 4 2 0 | 2 2 4 1 0 | 1 2 2 0 . . . . x | 2 | * 160 | 0 3 3 | 0 0 3 3 3 | 0 1 3 1 -------------+----+---------+-------------+-----------------+------------ x3o . . . | 3 | 3 0 | 320 * * | 1 1 1 0 0 | 1 1 1 0 x . . . x | 4 | 2 2 | * 240 * | 0 0 2 1 0 | 0 1 2 0 . . . o3x | 3 | 0 3 | * * 160 | 0 0 0 1 2 | 0 0 2 1 -------------+----+---------+-------------+-----------------+------------ x3o3o . . ♦ 4 | 6 0 | 4 0 0 | 80 * * * * | 1 1 0 0 x3o . *b3o . ♦ 4 | 6 0 | 4 0 0 | * 80 * * * | 1 0 1 0 x3o . . x ♦ 6 | 6 3 | 2 3 0 | * * 160 * * | 0 1 1 0 x . . o3x ♦ 6 | 3 6 | 0 3 2 | * * * 80 * | 0 0 2 0 . o . *b3o3x ♦ 4 | 0 6 | 0 0 4 | * * * * 80 | 0 0 1 1 -------------+----+---------+-------------+-----------------+------------ x3o3o *b3o . ♦ 8 | 24 0 | 32 0 0 | 8 8 0 0 0 | 10 * * * x3o3o . x ♦ 8 | 12 4 | 8 6 0 | 2 0 4 0 0 | * 40 * * x3o . *b3o3x ♦ 20 | 30 30 | 20 30 20 | 0 5 10 10 5 | * * 16 * . o3o *b3o3x ♦ 5 | 0 10 | 0 0 10 | 0 0 0 0 5 | * * * 16
x3o3o3o4s demi( . . . . . ) | 80 | 4 6 | 6 12 12 | 4 6 4 12 4 | 1 4 1 4 ------------------+----+---------+-------------+-----------------+------------ demi( x . . . . ) | 2 | 160 * | 3 3 0 | 3 3 0 3 0 | 1 1 0 3 . . . o4s | 2 | * 240 | 0 2 4 | 0 1 2 4 2 | 0 2 1 2 ------------------+----+---------+-------------+-----------------+------------ demi( x3o . . . ) | 3 | 3 0 | 160 * * | 2 1 0 0 0 | 1 0 0 2 x 2 . o4s | 4 | 2 2 | * 240 * | 0 1 0 2 0 | 0 1 0 2 sefa( . . o3o4s ) | 3 | 0 3 | * * 320 | 0 0 1 1 1 | 0 1 1 1 ------------------+----+---------+-------------+-----------------+------------ demi( x3o3o . . ) ♦ 4 | 6 0 | 4 0 0 | 80 * * * * | 1 0 0 1 x3o 2 o4s ♦ 6 | 6 3 | 2 3 0 | * 80 * * * | 0 0 0 2 . . o3o4s ♦ 4 | 0 6 | 0 0 4 | * * 80 * * | 0 1 1 0 sefa( x 2 o3o4s ) ♦ 6 | 3 6 | 0 3 2 | * * * 160 * | 0 1 0 1 sefa( . o3o3o4s ) ♦ 4 | 0 6 | 0 0 4 | * * * * 80 | 0 0 1 1 ------------------+----+---------+-------------+-----------------+------------ demi( x3o3o3o . ) ♦ 5 | 10 0 | 10 0 0 | 5 0 0 0 0 | 16 * * * x 2 o3o4s ♦ 8 | 4 12 | 0 6 8 | 0 0 2 4 0 | * 40 * * . o3o3o4s ♦ 8 | 0 24 | 0 0 32 | 0 0 8 0 8 | * * 10 * sefa( x3o3o3o4s ) ♦ 20 | 30 30 | 20 30 20 | 5 10 0 10 5 | * * * 16 starting figure: x3o3o3o4x
xxoo3oooo3ooxx *b3oxxo&#xt → all heights = 1/sqrt(2) = 0.707107 (hex || pseudo gyro rit || pseudo rit || gyro hex) o...3o...3o... *b3o... | 8 * * * | 6 4 0 0 0 0 0 0 0 | 12 12 6 0 0 0 0 0 0 0 0 0 0 0 0 | 4 4 12 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 4 4 1 0 0 0 0 0 0 .o..3.o..3.o.. *b3.o.. | * 32 * * | 0 1 3 3 3 0 0 0 0 | 0 3 3 3 3 3 6 3 6 0 0 0 0 0 0 | 0 0 3 3 3 1 1 3 3 6 1 3 3 0 0 0 0 0 0 0 | 0 1 3 1 1 3 1 0 0 0 ..o.3..o.3..o. *b3..o. | * * 32 * | 0 0 0 0 3 3 3 1 0 | 0 0 0 0 0 0 3 6 6 3 3 3 3 3 0 | 0 0 0 0 0 0 0 1 3 3 3 3 6 1 1 3 3 3 0 0 | 0 0 1 0 1 3 3 1 1 0 ...o3...o3...o *b3...o | * * * 8 | 0 0 0 0 0 0 0 4 6 | 0 0 0 0 0 0 0 0 0 0 0 0 12 6 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 4 6 4 4 | 0 0 0 0 0 0 4 4 1 1 ---------------------------+-----------+----------------------------+----------------------------------------------+-----------------------------------------------------+--------------------- x... .... .... .... | 2 0 0 0 | 24 * * * * * * * * | 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 0 0 0 0 0 0 0 oo..3oo..3oo.. *b3oo..&#x | 1 1 0 0 | * 32 * * * * * * * | 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 3 1 0 0 0 0 0 0 .x.. .... .... .... | 0 2 0 0 | * * 48 * * * * * * | 0 1 0 2 1 0 2 0 0 0 0 0 0 0 0 | 0 0 2 1 0 1 0 2 1 2 0 0 0 0 0 0 0 0 0 0 | 0 1 2 0 1 1 0 0 0 0 .... .... .... .x.. | 0 2 0 0 | * * * 48 * * * * * | 0 0 1 0 1 2 0 0 2 0 0 0 0 0 0 | 0 0 0 1 2 0 1 0 0 2 0 2 1 0 0 0 0 0 0 0 | 0 0 2 1 0 1 1 0 0 0 .oo.3.oo.3.oo. *b3.oo.&#x | 0 1 1 0 | * * * * 96 * * * * | 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 | 0 0 0 0 0 0 0 1 2 2 1 1 2 0 0 0 0 0 0 0 | 0 0 1 0 1 2 1 0 0 0 .... .... ..x. .... | 0 0 2 0 | * * * * * 48 * * * | 0 0 0 0 0 0 0 2 0 2 0 1 1 0 0 | 0 0 0 0 0 0 0 0 1 0 2 0 2 1 0 2 0 1 0 0 | 0 0 0 0 1 1 2 1 0 0 .... .... .... ..x. | 0 0 2 0 | * * * * * * 48 * * | 0 0 0 0 0 0 0 0 2 0 2 1 0 1 0 | 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1 0 2 1 0 0 | 0 0 1 0 0 1 2 0 1 0 ..oo3..oo3..oo *b3..oo&#x | 0 0 1 1 | * * * * * * * 32 * | 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0 | 0 0 0 0 0 0 3 1 1 0 .... .... ...x .... | 0 0 0 2 | * * * * * * * * 24 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 1 2 2 | 0 0 0 0 0 0 2 2 0 1 ---------------------------+-----------+----------------------------+----------------------------------------------+-----------------------------------------------------+--------------------- x...3o... .... .... | 3 0 0 0 | 3 0 0 0 0 0 0 0 0 | 32 * * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 0 xx.. .... .... ....&#x | 2 2 0 0 | 1 2 1 0 0 0 0 0 0 | * 48 * * * * * * * * * * * * * | 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 2 0 0 0 0 0 0 0 .... .... .... ox..&#x | 1 2 0 0 | 0 2 0 1 0 0 0 0 0 | * * 48 * * * * * * * * * * * * | 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 1 0 0 0 0 0 0 .x..3.o.. .... .... | 0 3 0 0 | 0 0 3 0 0 0 0 0 0 | * * * 32 * * * * * * * * * * * | 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 1 0 0 0 0 0 .x.. .... .... .x.. | 0 4 0 0 | 0 0 2 2 0 0 0 0 0 | * * * * 24 * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | 0 0 2 0 0 1 0 0 0 0 .... .o.. .... *b3.x.. | 0 3 0 0 | 0 0 0 3 0 0 0 0 0 | * * * * * 32 * * * * * * * * * | 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 | 0 0 1 1 0 0 1 0 0 0 .xo. .... .... ....&#x | 0 2 1 0 | 0 0 1 0 2 0 0 0 0 | * * * * * * 96 * * * * * * * * | 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 1 0 0 0 0 .... .... .ox. ....&#x | 0 1 2 0 | 0 0 0 0 2 1 0 0 0 | * * * * * * * 96 * * * * * * * | 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 | 0 0 0 0 1 1 1 0 0 0 .... .... .... .xx.&#x | 0 2 2 0 | 0 0 0 1 2 0 1 0 0 | * * * * * * * * 96 * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 | 0 0 1 0 0 1 1 0 0 0 .... ..o.3..x. .... | 0 0 3 0 | 0 0 0 0 0 3 0 0 0 | * * * * * * * * * 32 * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 | 0 0 0 0 1 0 1 1 0 0 .... ..o. .... *b3..x. | 0 0 3 0 | 0 0 0 0 0 0 3 0 0 | * * * * * * * * * * 32 * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 | 0 0 1 0 0 0 1 0 1 0 .... .... ..x. ..x. | 0 0 4 0 | 0 0 0 0 0 2 2 0 0 | * * * * * * * * * * * 24 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 0 0 | 0 0 0 0 0 1 2 0 0 0 .... .... ..xx ....&#x | 0 0 2 2 | 0 0 0 0 0 1 0 2 1 | * * * * * * * * * * * * 48 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 | 0 0 0 0 0 0 2 1 0 0 .... .... .... ..xo&#x | 0 0 2 1 | 0 0 0 0 0 0 1 2 0 | * * * * * * * * * * * * * 48 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 | 0 0 0 0 0 0 2 0 1 0 .... ...o3...x .... | 0 0 0 3 | 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * 32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 0 0 0 1 1 0 1 ---------------------------+-----------+----------------------------+----------------------------------------------+-----------------------------------------------------+--------------------- x...3o...3o... .... ♦ 4 0 0 0 | 6 0 0 0 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 x...3o... .... *b3o... ♦ 4 0 0 0 | 6 0 0 0 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 8 * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 xx..3oo.. .... ....&#x ♦ 3 3 0 0 | 3 3 3 0 0 0 0 0 0 | 1 3 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * 32 * * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 xx.. .... .... ox..&#x ♦ 2 4 0 0 | 1 4 2 2 0 0 0 0 0 | 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 | * * * 24 * * * * * * * * * * * * * * * * | 0 0 2 0 0 0 0 0 0 0 .... oo.. .... *b3ox..&#x ♦ 1 3 0 0 | 0 3 0 3 0 0 0 0 0 | 0 0 3 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * 32 * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0 .x..3.o..3.o.. .... ♦ 0 4 0 0 | 0 0 6 0 0 0 0 0 0 | 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 8 * * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0 0 .... .o..3.o.. *b3.x.. ♦ 0 4 0 0 | 0 0 0 6 0 0 0 0 0 | 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 | * * * * * * 8 * * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 0 .xo.3.oo. .... ....&#x ♦ 0 3 1 0 | 0 0 3 0 3 0 0 0 0 | 0 0 0 1 0 0 3 0 0 0 0 0 0 0 0 | * * * * * * * 32 * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 .xo. .... .ox. ....&#x ♦ 0 2 2 0 | 0 0 1 0 4 1 0 0 0 | 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 | * * * * * * * * 48 * * * * * * * * * * * | 0 0 0 0 1 1 0 0 0 0 .xo. .... .... .xx.&#x ♦ 0 4 2 0 | 0 0 2 2 4 0 1 0 0 | 0 0 0 0 1 0 2 0 2 0 0 0 0 0 0 | * * * * * * * * * 48 * * * * * * * * * * | 0 0 1 0 0 1 0 0 0 0 .... .oo.3.ox. ....&#x ♦ 0 1 3 0 | 0 0 0 0 3 3 0 0 0 | 0 0 0 0 0 0 0 3 0 1 0 0 0 0 0 | * * * * * * * * * * 32 * * * * * * * * * | 0 0 0 0 1 0 1 0 0 0 .... .oo. .... *b3.xx.&#x ♦ 0 3 3 0 | 0 0 0 3 3 0 3 0 0 | 0 0 0 0 0 1 0 0 3 0 1 0 0 0 0 | * * * * * * * * * * * 32 * * * * * * * * | 0 0 1 0 0 0 1 0 0 0 .... .... .ox. .xx.&#x ♦ 0 2 4 0 | 0 0 0 1 4 2 2 0 0 | 0 0 0 0 0 0 0 2 2 0 0 1 0 0 0 | * * * * * * * * * * * * 48 * * * * * * * | 0 0 0 0 0 1 1 0 0 0 ..o.3..o.3..x. .... ♦ 0 0 4 0 | 0 0 0 0 0 6 0 0 0 | 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 | * * * * * * * * * * * * * 8 * * * * * * | 0 0 0 0 1 0 0 1 0 0 ..o.3..o. .... *b3..x. ♦ 0 0 4 0 | 0 0 0 0 0 0 6 0 0 | 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 | * * * * * * * * * * * * * * 8 * * * * * | 0 0 1 0 0 0 0 0 1 0 .... ..oo3..xx ....&#x ♦ 0 0 3 3 | 0 0 0 0 0 3 0 3 3 | 0 0 0 0 0 0 0 0 0 1 0 0 3 0 1 | * * * * * * * * * * * * * * * 32 * * * * | 0 0 0 0 0 0 1 1 0 0 .... ..oo .... *b3..xo&#x ♦ 0 0 3 1 | 0 0 0 0 0 0 3 3 0 | 0 0 0 0 0 0 0 0 0 0 1 0 0 3 0 | * * * * * * * * * * * * * * * * 32 * * * | 0 0 0 0 0 0 1 0 1 0 .... .... ..xx ..xo&#x ♦ 0 0 4 2 | 0 0 0 0 0 2 2 4 1 | 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 | * * * * * * * * * * * * * * * * * 24 * * | 0 0 0 0 0 0 2 0 0 0 ...o3...o3...x .... ♦ 0 0 0 4 | 0 0 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * * * * * * * 8 * | 0 0 0 0 0 0 0 1 0 1 .... ...o3...x *b3...o ♦ 0 0 0 4 | 0 0 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * * * * * * * * 8 | 0 0 0 0 0 0 1 0 0 1 ---------------------------+-----------+----------------------------+----------------------------------------------+-----------------------------------------------------+--------------------- x...3o...3o... *b3o... ♦ 8 0 0 0 | 24 0 0 0 0 0 0 0 0 | 32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * xx..3oo..3oo.. ....&#x ♦ 4 4 0 0 | 6 4 6 0 0 0 0 0 0 | 4 6 0 4 0 0 0 0 0 0 0 0 0 0 0 | 1 0 4 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 8 * * * * * * * * xxo.3ooo. .... *b3oxx.&#xt ♦ 4 12 4 0 | 6 12 12 12 12 0 6 0 0 | 4 12 12 4 6 4 12 0 12 0 4 0 0 0 0 | 0 1 4 6 4 0 0 4 0 6 0 4 0 0 1 0 0 0 0 0 | * * 8 * * * * * * * .... oo..3oo.. *b3ox..&#x ♦ 1 4 0 0 | 0 4 0 6 0 0 0 0 0 | 0 0 6 0 0 4 0 0 0 0 0 0 0 0 0 | 0 0 0 0 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 8 * * * * * * .xo.3.oo.3.ox. ....&#x ♦ 0 4 4 0 | 0 0 6 0 12 6 0 0 0 | 0 0 0 4 0 0 12 12 0 4 0 0 0 0 0 | 0 0 0 0 0 1 0 4 6 0 4 0 0 1 0 0 0 0 0 0 | * * * * 8 * * * * * .xo. .... .ox. .xx.&#x ♦ 0 4 4 0 | 0 0 2 2 8 2 2 0 0 | 0 0 0 0 1 0 4 4 4 0 0 1 0 0 0 | 0 0 0 0 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 | * * * * * 24 * * * * .... .ooo3.oxx *b3.xxo&#xt ♦ 0 4 12 4 | 0 0 0 6 12 12 12 12 6 | 0 0 0 0 0 4 0 12 12 4 4 6 12 12 4 | 0 0 0 0 0 0 1 0 0 0 4 4 6 0 0 4 4 6 0 1 | * * * * * * 8 * * * ..oo3..oo3..xx ....&#x ♦ 0 0 4 4 | 0 0 0 0 0 6 0 4 6 | 0 0 0 0 0 0 0 0 0 4 0 0 6 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 4 0 0 1 0 | * * * * * * * 8 * * ..oo3..oo .... *b3..xo&#x ♦ 0 0 4 1 | 0 0 0 0 0 0 6 4 0 | 0 0 0 0 0 0 0 0 0 0 4 0 0 6 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 4 0 0 0 | * * * * * * * * 8 * ...o3...o3...x *b3...o ♦ 0 0 0 8 | 0 0 0 0 0 0 0 0 24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 | * * * * * * * * * 1
or o...3o...3o... *b3o... & | 16 * | 6 4 0 0 0 | 12 12 6 0 0 0 0 0 | 4 4 12 6 4 0 0 0 0 0 0 | 1 4 4 1 0 0 .o..3.o..3.o.. *b3.o.. & | * 64 | 0 1 3 3 3 | 0 3 3 3 3 3 9 6 | 0 0 3 3 3 1 1 4 3 9 3 | 0 1 4 1 1 3 -----------------------------+-------+----------------+--------------------------+----------------------------------+---------------- x... .... .... .... & | 2 0 | 48 * * * * | 4 2 0 0 0 0 0 0 | 2 2 4 1 0 0 0 0 0 0 0 | 1 2 2 0 0 0 oo..3oo..3oo.. *b3oo..&#x & | 1 1 | * 64 * * * | 0 3 3 0 0 0 0 0 | 0 0 3 3 3 0 0 0 0 0 0 | 0 1 3 1 0 0 .x.. .... .... .... & | 0 2 | * * 96 * * | 0 1 0 2 1 0 2 0 | 0 0 2 1 0 1 0 2 1 2 0 | 0 1 2 0 1 1 .... .... .... .x.. & | 0 2 | * * * 96 * | 0 0 1 0 1 2 0 2 | 0 0 0 1 2 0 1 0 0 3 2 | 0 0 3 1 0 1 .oo.3.oo.3.oo. *b3.oo.&#x | 0 2 | * * * * 96 | 0 0 0 0 0 0 4 2 | 0 0 0 0 0 0 0 2 1 4 1 | 0 0 2 0 1 2 -----------------------------+-------+----------------+--------------------------+----------------------------------+---------------- x...3o... .... .... & | 3 0 | 3 0 0 0 0 | 64 * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 xx.. .... .... ....&#x & | 2 2 | 1 2 1 0 0 | * 96 * * * * * * | 0 0 2 1 0 0 0 0 0 0 0 | 0 1 2 0 0 0 .... .... .... ox..&#x & | 1 2 | 0 2 0 1 0 | * * 96 * * * * * | 0 0 0 1 2 0 0 0 0 0 0 | 0 0 2 1 0 0 .x..3.o.. .... .... & | 0 3 | 0 0 3 0 0 | * * * 64 * * * * | 0 0 1 0 0 1 0 1 0 0 0 | 0 1 1 0 1 0 .x.. .... .... .x.. & | 0 4 | 0 0 2 2 0 | * * * * 48 * * * | 0 0 0 1 0 0 0 0 0 2 0 | 0 0 2 0 0 1 .... .o.. .... *b3.x.. & | 0 3 | 0 0 0 3 0 | * * * * * 64 * * | 0 0 0 0 1 0 1 0 0 0 1 | 0 0 2 1 0 0 .xo. .... .... ....&#x & | 0 3 | 0 0 1 0 2 | * * * * * * 192 * | 0 0 0 0 0 0 0 1 1 1 0 | 0 0 1 0 1 1 .... .... .... .xx.&#x | 0 4 | 0 0 0 2 2 | * * * * * * * 96 | 0 0 0 0 0 0 0 0 0 2 1 | 0 0 2 0 0 1 -----------------------------+-------+----------------+--------------------------+----------------------------------+---------------- x...3o...3o... .... & ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 | 16 * * * * * * * * * * | 1 1 0 0 0 0 x...3o... .... *b3o... & ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 | * 16 * * * * * * * * * | 1 0 1 0 0 0 xx..3oo.. .... ....&#x & ♦ 3 3 | 3 3 3 0 0 | 1 3 0 1 0 0 0 0 | * * 64 * * * * * * * * | 0 1 1 0 0 0 xx.. .... .... ox..&#x & ♦ 2 4 | 1 4 2 2 0 | 0 2 2 0 1 0 0 0 | * * * 48 * * * * * * * | 0 0 2 0 0 0 .... oo.. .... *b3ox..&#x & ♦ 1 3 | 0 3 0 3 0 | 0 0 3 0 0 1 0 0 | * * * * 64 * * * * * * | 0 0 1 1 0 0 .x..3.o..3.o.. .... & ♦ 0 4 | 0 0 6 0 0 | 0 0 0 4 0 0 0 0 | * * * * * 16 * * * * * | 0 1 0 0 1 0 .... .o..3.o.. *b3.x.. & ♦ 0 4 | 0 0 0 6 0 | 0 0 0 0 0 4 0 0 | * * * * * * 16 * * * * | 0 0 1 1 0 0 .xo.3.oo. .... ....&#x & ♦ 0 4 | 0 0 3 0 3 | 0 0 0 1 0 0 3 0 | * * * * * * * 64 * * * | 0 0 1 0 1 0 .xo. .... .ox. ....&#x ♦ 0 4 | 0 0 2 0 4 | 0 0 0 0 0 0 4 0 | * * * * * * * * 48 * * | 0 0 0 0 1 1 .xo. .... .... .xx.&#x & ♦ 0 6 | 0 0 2 3 4 | 0 0 0 0 1 0 2 2 | * * * * * * * * * 96 * | 0 0 1 0 0 1 .... .oo. .... *b3.xx.&#x ♦ 0 6 | 0 0 0 6 3 | 0 0 0 0 0 2 0 3 | * * * * * * * * * * 32 | 0 0 2 0 0 0 -----------------------------+-------+----------------+--------------------------+----------------------------------+---------------- x...3o...3o... *b3o... & ♦ 8 0 | 24 0 0 0 0 | 32 0 0 0 0 0 0 0 | 8 8 0 0 0 0 0 0 0 0 0 | 2 * * * * * xx..3oo..3oo.. ....&#x & ♦ 4 4 | 6 4 6 0 0 | 4 6 0 4 0 0 0 0 | 1 0 4 0 0 1 0 0 0 0 0 | * 16 * * * * xxo.3ooo. .... *b3oxx.&#xt & ♦ 4 16 | 6 12 12 18 12 | 4 12 12 4 6 8 12 12 | 0 1 4 6 4 0 1 4 0 6 4 | * * 16 * * * .... oo..3oo.. *b3ox..&#x & ♦ 1 4 | 0 4 0 6 0 | 0 0 6 0 0 4 0 0 | 0 0 0 0 4 0 1 0 0 0 0 | * * * 16 * * .xo.3.oo.3.ox. ....&#x ♦ 0 8 | 0 0 12 0 12 | 0 0 0 8 0 0 24 0 | 0 0 0 0 0 2 0 8 6 0 0 | * * * * 8 * .xo. .... .ox. .xx.&#x ♦ 0 8 | 0 0 4 4 8 | 0 0 0 0 2 0 8 4 | 0 0 0 0 0 0 0 0 2 4 0 | * * * * * 24
xx(uo)x3oo(oo)o3ox(ox)o3oo(ox)x&#xt → all heights = sqrt(2/5) = 0.632456 (pen || srip || (u-pen + inv. tip) || spid) o.(..).3o.(..).3o.(..).3o.(..). | 5 * * * * | 4 6 0 0 0 0 0 0 0 0 0 0 | 6 12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 6 12 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 4 4 1 0 0 0 0 0 0 0 .o(..).3.o(..).3.o(..).3.o(..). | * 30 * * * | 0 1 2 4 1 2 0 0 0 0 0 0 | 0 2 4 1 4 2 2 4 2 4 4 1 0 0 0 0 0 0 0 0 | 0 1 4 2 2 2 2 2 4 1 2 4 2 2 0 0 0 0 0 0 0 0 0 0 | 0 2 2 1 2 2 1 0 0 0 0 ..(o.).3..(o.).3..(o.).3..(o.). | * * 5 * * | 0 0 0 0 6 0 4 0 0 0 0 0 | 0 0 0 0 0 0 0 12 12 0 0 0 6 0 0 0 0 0 0 0 | 0 0 0 0 0 0 4 4 12 6 0 0 0 0 4 0 0 0 0 0 0 0 0 0 | 0 0 0 1 4 4 0 1 0 0 0 ..(.o).3..(.o).3..(.o).3..(.o). | * * * 20 * | 0 0 0 0 0 3 0 3 1 3 0 0 | 0 0 0 0 0 0 0 0 3 3 6 3 0 3 3 6 3 0 0 0 | 0 0 0 0 0 0 0 0 6 3 1 3 3 3 0 1 1 3 3 3 0 0 0 0 | 0 1 0 0 3 3 1 0 1 1 0 ..(..)o3..(..)o3..(..)o3..(..)o | * * * * 20 | 0 0 0 0 0 0 1 0 0 3 3 3 | 0 0 0 0 0 0 0 0 3 0 0 0 3 0 6 3 3 3 6 3 | 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 0 3 3 6 1 1 3 3 1 | 0 0 0 0 3 1 0 1 1 3 1 ------------------------------------+--------------+-------------------------------------+-------------------------------------------------------------+---------------------------------------------------------------------+--------------------------- x.(..). ..(..). ..(..). ..(..). | 2 0 0 0 0 | 10 * * * * * * * * * * * | 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 3 1 0 0 0 0 0 0 0 0 oo(..).3oo(..).3oo(..).3oo(..).&#x | 1 1 0 0 0 | * 30 * * * * * * * * * * | 0 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 2 1 0 0 0 0 0 0 0 .x(..). ..(..). ..(..). ..(..). | 0 2 0 0 0 | * * 30 * * * * * * * * * | 0 1 0 1 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | 0 1 2 0 0 1 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 | 0 2 1 0 1 0 1 0 0 0 0 ..(..). ..(..). .x(..). ..(..). | 0 2 0 0 0 | * * * 60 * * * * * * * * | 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 1 1 0 0 0 0 0 .o(o.).3.o(o.).3.o(o.).3.o(o.).&#x | 0 1 1 0 0 | * * * * 30 * * * * * * * | 0 0 0 0 0 0 0 4 2 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 2 2 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 2 2 0 0 0 0 0 .o(.o).3.o(.o).3.o(.o).3.o(.o).&#x | 0 1 0 1 0 | * * * * * 60 * * * * * * | 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 2 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 2 1 1 0 0 0 0 ..(o.)o3..(o.)o3..(o.)o3..(o.)o&#x | 0 0 1 0 1 | * * * * * * 20 * * * * * | 0 0 0 0 0 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 | 0 0 0 0 3 1 0 2 0 0 0 ..(..). ..(..). ..(.x). ..(..). | 0 0 0 2 0 | * * * * * * * 30 * * * * | 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 0 0 | 0 0 0 0 0 0 0 0 2 0 0 1 0 2 0 1 0 1 0 2 0 0 0 0 | 0 1 0 0 1 2 0 0 1 0 0 ..(..). ..(..). ..(..). ..(.x). | 0 0 0 2 0 | * * * * * * * * 10 * * * | 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 0 0 | 0 0 0 0 0 0 0 0 0 3 0 0 3 0 0 0 0 0 3 0 0 0 0 0 | 0 0 0 0 3 0 1 0 0 1 0 ..(.o)o3..(.o)o3..(.o)o3..(.o)o&#x | 0 0 0 1 1 | * * * * * * * * * 60 * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 2 1 0 0 0 | 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 1 2 2 1 0 0 0 0 | 0 0 0 0 2 1 0 0 1 1 0 ..(..)x ..(..). ..(..). ..(..). | 0 0 0 0 2 | * * * * * * * * * * 30 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 1 2 1 0 | 0 0 0 0 1 0 0 0 1 2 1 ..(..). ..(..). ..(..). ..(..)x | 0 0 0 0 2 | * * * * * * * * * * * 30 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 2 2 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 2 0 0 1 2 1 | 0 0 0 0 2 0 0 1 0 1 1 ------------------------------------+--------------+-------------------------------------+-------------------------------------------------------------+---------------------------------------------------------------------+--------------------------- x.(..).3o.(..). ..(..). ..(..). | 3 0 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 | 10 * * * * * * * * * * * * * * * * * * * | 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 0 0 0 0 0 xx(..). ..(..). ..(..). ..(..).&#x | 2 2 0 0 0 | 1 2 1 0 0 0 0 0 0 0 0 0 | * 30 * * * * * * * * * * * * * * * * * * | 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 1 0 0 0 0 0 0 0 0 ..(..). ..(..). ox(..). ..(..).&#x | 1 2 0 0 0 | 0 2 0 1 0 0 0 0 0 0 0 0 | * * 60 * * * * * * * * * * * * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 0 0 0 .x(..).3.o(..). ..(..). ..(..). | 0 3 0 0 0 | 0 0 3 0 0 0 0 0 0 0 0 0 | * * * 10 * * * * * * * * * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 0 0 0 0 1 0 0 0 0 .x(..). ..(..). .x(..). ..(..). | 0 4 0 0 0 | 0 0 2 2 0 0 0 0 0 0 0 0 | * * * * 30 * * * * * * * * * * * * * * * | 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 1 0 0 0 0 0 0 ..(..). .o(..).3.x(..). ..(..). | 0 3 0 0 0 | 0 0 0 3 0 0 0 0 0 0 0 0 | * * * * * 20 * * * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 0 1 0 0 0 0 0 ..(..). ..(..). .x(..).3.o(..). | 0 3 0 0 0 | 0 0 0 3 0 0 0 0 0 0 0 0 | * * * * * * 20 * * * * * * * * * * * * * | 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 1 1 0 0 0 0 0 0 ..(..). ..(..). .x(o.). ..(..).&#x | 0 2 1 0 0 | 0 0 0 1 2 0 0 0 0 0 0 0 | * * * * * * * 60 * * * * * * * * * * * * | 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 1 1 0 0 0 0 0 .o(oo)o3.o(oo)o3.o(oo)o3.o(oo)o&#xr | 0 1 1 1 1 | 0 0 0 0 1 1 1 0 0 1 0 0 | * * * * * * * * 60 * * * * * * * * * * * | 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 2 1 0 0 0 0 0 cycle(BCED) .x(.o). ..(..). ..(..). ..(..).&#x | 0 2 0 1 0 | 0 0 1 0 0 2 0 0 0 0 0 0 | * * * * * * * * * 60 * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 1 0 1 0 0 0 0 ..(..). ..(..). .x(.x). ..(..).&#x | 0 2 0 2 0 | 0 0 0 1 0 2 0 1 0 0 0 0 | * * * * * * * * * * 60 * * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 1 1 0 0 0 0 0 ..(..). ..(..). ..(..). .o(.x).&#x | 0 1 0 2 0 | 0 0 0 0 0 2 0 0 1 0 0 0 | * * * * * * * * * * * 30 * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 2 0 1 0 0 0 0 ..(..). ..(..). ..(..). ..(o.)x&#x | 0 0 1 0 2 | 0 0 0 0 0 0 2 0 0 0 0 1 | * * * * * * * * * * * * 30 * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 | 0 0 0 0 2 0 0 1 0 0 0 ..(..). ..(.o).3..(.x). ..(..). | 0 0 0 3 0 | 0 0 0 0 0 0 0 3 0 0 0 0 | * * * * * * * * * * * * * 20 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 | 0 1 0 0 0 1 0 0 1 0 0 ..(.o)x ..(..). ..(..). ..(..).&#x | 0 0 0 1 2 | 0 0 0 0 0 0 0 0 0 2 1 0 | * * * * * * * * * * * * * * 60 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 | 0 0 0 0 1 0 0 0 1 1 0 ..(..). ..(..). ..(.x)o ..(..).&#x | 0 0 0 2 1 | 0 0 0 0 0 0 0 1 0 2 0 0 | * * * * * * * * * * * * * * * 60 * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 | 0 0 0 0 1 1 0 0 1 0 0 ..(..). ..(..). ..(..). ..(.x)x&#x | 0 0 0 2 2 | 0 0 0 0 0 0 0 0 1 2 0 1 | * * * * * * * * * * * * * * * * 30 * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 | 0 0 0 0 2 0 0 0 0 1 1 ..(..)x3..(..)o ..(..). ..(..). | 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 3 0 | * * * * * * * * * * * * * * * * * 20 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 | 0 0 0 0 0 0 0 0 1 1 1 ..(..)x ..(..). ..(..). ..(..)x | 0 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * * * * * * 30 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 0 1 0 0 0 0 1 1 ..(..). ..(..). ..(..)o3..(..)x | 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * * * * * * 20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 | 0 0 0 0 1 0 0 1 0 0 1 ------------------------------------+--------------+-------------------------------------+-------------------------------------------------------------+---------------------------------------------------------------------+--------------------------- x.(..).3o.(..).3o.(..). ..(..). ♦ 4 0 0 0 0 | 6 0 0 0 0 0 0 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5 * * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 xx(..).3oo(..). ..(..). ..(..).&#x ♦ 3 3 0 0 0 | 3 3 3 0 0 0 0 0 0 0 0 0 | 1 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 10 * * * * * * * * * * * * * * * * * * * * * * | 0 2 0 0 0 0 0 0 0 0 0 xx(..). ..(..). ox(..). ..(..).&#x ♦ 2 4 0 0 0 | 1 4 2 2 0 0 0 0 0 0 0 0 | 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 30 * * * * * * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 0 ..(..). oo(..).3ox(..). ..(..).&#x ♦ 1 3 0 0 0 | 0 3 0 3 0 0 0 0 0 0 0 0 | 0 0 3 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 20 * * * * * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0 ..(..). ..(..). ox(..).3oo(..).&#x ♦ 1 3 0 0 0 | 0 3 0 3 0 0 0 0 0 0 0 0 | 0 0 3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 20 * * * * * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0 0 .x(..). ..(..). .x(..).3.o(..). ♦ 0 6 0 0 0 | 0 0 3 6 0 0 0 0 0 0 0 0 | 0 0 0 0 3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 10 * * * * * * * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 0 ..(..). .o(o.).3.x(o.). ..(..).&#x ♦ 0 3 1 0 0 | 0 0 0 3 3 0 0 0 0 0 0 0 | 0 0 0 0 0 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * 20 * * * * * * * * * * * * * * * * * | 0 0 0 1 0 1 0 0 0 0 0 ..(..). ..(..). .x(o.).3.o(o.).&#x ♦ 0 3 1 0 0 | 0 0 0 3 3 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 20 * * * * * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 0 ..(..). ..(..). .x(ox)o ..(..).&#xr ♦ 0 2 1 2 1 | 0 0 0 1 2 2 1 1 0 2 0 0 | 0 0 0 0 0 0 0 1 2 0 1 0 0 0 0 1 0 0 0 0 | * * * * * * * * 60 * * * * * * * * * * * * * * * | 0 0 0 0 1 1 0 0 0 0 0 cycle(BCED) ..(..). ..(..). ..(..). .o(ox)x&#xr ♦ 0 1 1 2 2 | 0 0 0 0 1 2 2 0 1 2 0 1 | 0 0 0 0 0 0 0 0 2 0 0 1 1 0 0 0 1 0 0 0 | * * * * * * * * * 30 * * * * * * * * * * * * * * | 0 0 0 0 2 0 0 0 0 0 0 cycle(BCED) .x(.o).3.o(.o). ..(..). ..(..).&#x ♦ 0 3 0 1 0 | 0 0 3 0 0 3 0 0 0 0 0 0 | 0 0 0 1 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * 20 * * * * * * * * * * * * * | 0 1 0 0 0 0 1 0 0 0 0 .x(.o). ..(..). .x(.x). 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0 0 0 0 0 4 6 0 4 0 1 0 0 0 0 0 0 0 0 | * 5 * * * * * * * * * xx(..). ..(..). ox(..).3oo(..).&#x ♦ 2 6 0 0 0 | 1 6 3 6 0 0 0 0 0 0 0 0 | 0 3 6 0 3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 3 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 10 * * * * * * * * ..(..). oo(o.).3ox(o.).3oo(o.).&#xt ♦ 1 6 1 0 0 | 0 6 0 12 6 0 0 0 0 0 0 0 | 0 0 12 0 0 4 4 12 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 5 * * * * * * * .x(uo)x ..(..). .x(ox)o3.o(ox)x&#xr ♦ 0 6 2 6 6 | 0 0 3 6 6 12 6 3 3 12 3 6 | 0 0 0 0 3 0 2 6 12 6 6 6 6 0 6 6 6 0 3 2 | 0 0 0 0 0 1 0 2 6 6 0 3 3 0 2 0 0 3 3 0 0 0 1 0 | * * * * 10 * * * * * * cycle(BCED) ..(..). .o(oo)o3.x(ox)o ..(..).&#xr ♦ 0 3 1 3 1 | 0 0 0 3 3 3 1 3 0 3 0 0 | 0 0 0 0 0 1 0 3 3 0 3 0 0 1 0 3 0 0 0 0 | 0 0 0 0 0 0 1 0 3 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 | * * * * * 20 * * * * * cycle(BCED) .x(.o).3.o(.o). ..(..). .o(.x).&#x ♦ 0 3 0 2 0 | 0 0 3 0 0 6 0 0 1 0 0 0 | 0 0 0 1 0 0 0 0 0 6 0 3 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 2 0 3 0 0 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o(xx)(uo)(xx)(uo)x x(uo)(xx)(uo)(xx)o o(ox)(xo)(ou)(ox)x3x(ox)(ou)(xo)(ox)o&#xt → all heights = 1/sqrt(6) = 0.408248 o(..)(..)(..)(..). o(..)(..)(..)(..). o(..)(..)(..)(..).3o(..)(..)(..)(..). & | 12 * * * * | 1 2 2 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 1 1 4 2 4 2 4 4 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 2 2 2 4 2 4 1 2 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 2 2 1 0 0 0 0 .(o.)(..)(..)(..). .(o.)(..)(..)(..). .(o.)(..)(..)(..).3.(o.)(..)(..)(..). & | * 8 * * * | 0 0 3 0 0 1 3 3 0 0 0 0 0 0 0 0 0 0 0 | 0 0 3 3 0 0 0 0 6 3 0 3 3 3 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 3 1 0 0 0 0 3 3 3 0 0 6 1 3 1 3 3 0 0 0 0 0 0 0 0 0 0 0 | 1 0 3 1 3 0 1 1 0 0 .(.o)(..)(..)(..). .(.o)(..)(..)(..). .(.o)(..)(..)(..).3.(.o)(..)(..)(..). & | * * 24 * * | 0 0 0 2 0 0 0 0 1 1 1 2 2 1 0 0 0 0 0 | 0 0 0 0 2 1 2 2 2 0 2 0 0 0 0 1 1 2 2 2 1 2 1 1 2 2 2 0 0 0 0 | 0 0 0 1 2 1 1 2 2 0 2 2 2 0 0 0 0 0 1 1 1 1 1 2 1 2 3 2 0 | 0 1 3 1 2 1 0 0 1 1 .(..)(o.)(..)(..). .(..)(o.)(..)(..). .(..)(o.)(..)(..).3.(..)(o.)(..)(..). & | * * * 24 * | 0 0 0 0 0 0 1 1 0 0 0 2 0 0 1 2 2 1 0 | 0 0 0 0 0 0 0 0 2 1 0 2 1 2 4 0 2 2 1 0 0 0 0 0 4 2 0 2 1 3 1 | 0 0 0 0 0 0 0 2 1 1 0 0 4 1 2 1 3 3 2 1 0 0 0 3 2 1 0 2 1 | 0 0 3 1 3 0 1 1 1 0 .(..)(.o)(..)(..). .(..)(.o)(..)(..). .(..)(.o)(..)(..).3.(..)(.o)(..)(..). & | * * * * 12 | 0 0 0 0 1 0 0 0 0 0 0 0 4 2 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 2 4 0 0 0 0 0 0 0 0 2 4 2 2 1 4 4 4 0 0 0 1 | 0 0 0 0 0 0 0 0 0 1 2 2 4 0 0 0 0 0 0 0 2 2 1 2 2 2 6 4 0 | 0 0 4 0 2 1 0 0 1 2 ----------------------------------------------------------------------------------+---------------+-------------------------------------------------------+------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------+----------------------- .(..)(..)(..)(..). x(..)(..)(..)(..). .(..)(..)(..)(..). .(..)(..)(..)(..). & | 2 0 0 0 0 | 6 * * * * * * * * * * * * * * * * * * | 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0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 2 1 0 0 0 0 2 0 0 0 1 | 0 0 2 1 0 0 1 0 1 0 .(..)(..)(..)(..). .(..)(..)(..)(..). .(..)(x.)(..)(..). .(..)(..)(..)(..). & | 0 0 0 2 0 | * * * * * * * * * * * * * * * 24 * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 | 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 | 0 0 1 1 1 0 1 1 0 0 .(..)(o.)(o.)(..). .(..)(o.)(o.)(..). .(..)(o.)(o.)(..).3.(..)(o.)(o.)(..).&#x | 0 0 0 2 0 | * * * * * * * * * * * * * * * * 24 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 1 0 | 0 0 2 0 2 0 0 1 0 0 .(..)(o.)(.o)(..). .(..)(o.)(.o)(..). .(..)(o.)(.o)(..).3.(..)(o.)(.o)(..).&#x & | 0 0 0 1 1 | * * * * * * * * * * * * * * * * * 24 * | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 1 | 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 0 0 0 0 0 1 2 1 0 2 0 | 0 0 3 0 1 0 0 0 1 0 .(..)(..)(..)(..). .(..)(.x)(..)(..). .(..)(..)(..)(..). .(..)(..)(..)(..). & | 0 0 0 0 2 | * * * * * * * * * * * * * * * * * * 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 2 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 4 0 0 | 0 0 2 0 0 1 0 0 0 2 ----------------------------------------------------------------------------------+---------------+-------------------------------------------------------+------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------+----------------------- .(..)(..)(..)(..). x(..)(..)(..)(..). .(..)(..)(..)(..). x(..)(..)(..)(..). & | 4 0 0 0 0 | 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 2 0 0 0 0 0 0 .(..)(..)(..)(..). .(..)(..)(..)(..). o(..)(..)(..)(..).3x(..)(..)(..)(..). & | 3 0 0 0 0 | 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * * * * * * * * * * * * 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0 0 1 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * 6 * * * * * * | 0 0 2 0 0 0 0 0 0 0 .(..)(..)(..)(..). .(..)(..)(..)(..). .(.x)(xo)(o.)(..). .(..)(..)(..)(..).&#xr & ♦ 0 0 2 3 1 | 0 0 0 0 0 0 0 0 0 1 0 2 2 0 0 1 2 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 2 0 0 0 0 1 0 | * * * * * * * * * * * * * * * * * * * * * * * 24 * * * * * | 0 0 1 0 1 0 0 0 0 0 cycle (CDFE) .(..)(..)(..)(..). .(.o)(x.)(.o)(..). .(..)(..)(..)(..). .(..)(..)(..)(..).&#x & ♦ 0 0 1 2 1 | 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 0 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 1 | * * * * * * * * * * * * * * * * * * * * * * * * 24 * * * * | 0 0 1 0 0 0 0 0 1 0 .(..)(..)(..)(..). .(..)(..)(..)(..). .(..)(..)(..)(..). .(.x)(o.)(.o)(..).&#x & ♦ 0 0 2 1 1 | 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 2 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * 24 * * * | 0 0 1 0 0 0 0 0 1 0 .(.x)(.o)(.x)(.o). .(..)(..)(..)(..). .(..)(..)(..)(..). .(..)(..)(..)(..).&#xr & ♦ 0 0 3 0 3 | 0 0 0 0 0 0 0 0 1 0 0 0 4 3 0 0 0 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 2 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * 24 * * | 0 0 1 0 0 0 0 0 0 1 cycle (CEIG) .(.o)(oo)(oo)(.o). .(.o)(oo)(oo)(.o). .(.o)(oo)(oo)(.o).3.(.o)(oo)(oo)(.o).&#xr ♦ 0 0 2 2 2 | 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 1 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * 24 * | 0 0 2 0 0 0 0 0 0 0 cycles (CDG)(EFI) .(..)(..)(..)(..). .(..)(x.)(..)(..). .(..)(x.)(..)(..).3.(..)(o.)(..)(..). & ♦ 0 0 0 6 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * 4 | 0 0 0 1 0 0 1 0 0 0 ----------------------------------------------------------------------------------+---------------+-------------------------------------------------------+------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------+----------------------- o(x.)(..)(..)(..). .(..)(..)(..)(..). o(o.)(..)(..)(..).3x(o.)(..)(..)(..).&#x & ♦ 3 2 0 0 0 | 0 3 6 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 3 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * o(.x)(..)(..)(..). x(.o)(..)(..)(..). .(..)(..)(..)(..). x(.x)(..)(..)(..).&#x & ♦ 4 0 4 0 0 | 2 2 0 8 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 | 1 0 0 0 4 4 0 4 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 6 * * * * * * * * o(xx)(uo)(xx)(.o). .(..)(..)(..)(..). .(..)(..)(..)(..). x(ox)(ou)(xo)(.x).&#xr & ♦ 2 2 6 6 4 | 0 1 4 4 2 1 2 4 2 1 2 8 8 6 2 2 4 6 1 | 0 0 2 2 2 0 0 2 4 4 4 0 2 2 4 1 2 2 2 2 2 2 2 2 8 8 4 1 0 2 2 | 0 1 0 0 1 0 0 0 2 2 2 0 4 0 1 0 0 2 1 0 0 1 1 2 2 2 2 4 0 | * * 12 * * * * * * * cycles (ABFIGC)(DE) .(..)(..)(..)(..). x(uo)(x.)(..)(..). o(ox)(x.)(..)(..).3x(ox)(o.)(..)(..).&#xt & ♦ 6 2 6 6 0 | 3 6 6 12 0 0 6 0 0 3 3 12 0 0 3 6 0 0 0 | 3 2 0 6 0 6 6 6 12 0 0 6 0 0 0 0 6 6 6 0 0 0 0 0 0 0 0 3 2 0 0 | 1 0 2 0 0 3 3 6 6 0 0 0 0 2 0 0 0 0 3 3 0 0 0 0 0 0 0 0 1 | * * * 4 * * * * * * .(..)(..)(..)(..). .(..)(..)(..)(..). o(ox)(xo)(o.)(..). .(..)(..)(..)(..).&#xt & ♦ 1 1 2 3 1 | 0 0 1 2 1 0 2 1 0 1 0 2 2 0 0 1 2 1 0 | 0 0 0 0 0 0 1 0 2 1 2 1 0 0 2 0 0 1 0 0 0 1 0 0 2 0 0 0 0 1 0 | 0 0 0 0 0 0 0 1 0 0 0 1 2 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 | * * * * 24 * * * * * o(.x)(.o)(..)(..). x(.o)(.x)(..)(..). o(.x)(.o)(..)(..). .(..)(..)(..)(..).&#xt & ♦ 2 0 4 0 2 | 1 0 0 8 2 0 0 0 2 2 0 0 8 0 0 0 0 0 1 | 0 0 0 0 4 4 4 0 0 0 8 0 0 0 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 | 0 0 0 2 0 2 0 0 0 0 4 4 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 | * * * * * 6 * * * * .(x.)(..)(x.)(..). .(..)(..)(..)(..). .(o.)(..)(o.)(..).3.(o.)(..)(x.)(..).&#x & ♦ 0 2 0 6 0 | 0 0 0 0 0 1 0 6 0 0 0 0 0 0 3 6 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 3 6 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 | * * * * * * 4 * * * .(..)(..)(..)(..). .(..)(..)(..)(..). .(o.)(x.)(o.)(o.).3.(o.)(o.)(x.)(o.).&#xr ♦ 0 2 0 6 0 | 0 0 0 0 0 0 6 6 0 0 0 0 0 0 0 6 6 0 0 | 0 0 0 0 0 0 0 0 0 0 0 6 0 6 12 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 6 6 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 4 * * cycle (BDHF) .(..)(..)(..)(..). .(.o)(x.)(.o)(..). .(..)(..)(..)(..). .(.x)(o.)(.o)(..).&#x & ♦ 0 0 2 2 1 | 0 0 0 0 0 0 0 0 0 0 1 4 0 2 1 0 0 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 1 0 4 0 0 0 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 0 0 0 | * * * * * * * * 12 * .(.x)(.o)(.x)(.o). .(.o)(.x)(.o)(.x). .(..)(..)(..)(..). .(..)(..)(..)(..).&#xr ♦ 0 0 4 0 4 | 0 0 0 0 0 0 0 0 2 0 0 0 8 4 0 0 0 0 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 2 0 0 0 4 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 4 0 0 | * * * * * * * * * 6 cycle (CEIG) A(BC)(DE)(FG)(HI)J A(BC)(DE)(FG)(HI)J A(BC)(DE)(FG)(HI)J A(BC)(DE)(FG)(HI)J : vertex types acc. to layers
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