Acronym | card (old: scard, shard) | ||||||||||||||||||||||||||||||||
Name |
(small) cellirhombated dodecateron, small hedratorhombated dodecateron, stericantellated hexateron | ||||||||||||||||||||||||||||||||
Circumradius | sqrt(11)/2 = 1.658312 | ||||||||||||||||||||||||||||||||
Vertex figure |
© | ||||||||||||||||||||||||||||||||
Lace city in approx. ASCII-art |
x3o3x x3x3o o3x3o -- x3o3x3o (srip) x3o3x x3o3u x3x3x o3x3x -- x3o3x3x (prip) x3x3o x3x3x u3o3x x3o3x -- x3x3o3x (inv prip) o3x3o o3x3x x3o3x -- o3x3o3x (inv srip) | ||||||||||||||||||||||||||||||||
General of army | (is itself convex) | ||||||||||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polyteral members:
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Face vector | 180, 720, 900, 420, 62 | ||||||||||||||||||||||||||||||||
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3o3x3o3x . . . . . | 180 ♦ 2 4 2 | 1 4 4 2 2 4 1 | 2 2 2 4 2 1 2 2 | 1 2 1 2 1 ----------+-----+-------------+---------------------------+-------------------------+------------- x . . . . | 2 | 180 * * | 1 2 2 0 0 0 0 | 2 2 1 2 1 0 0 0 | 1 2 1 1 0 . . x . . | 2 | * 360 * | 0 1 0 1 1 1 0 | 1 0 1 1 0 1 1 1 | 1 1 0 1 1 . . . . x | 2 | * * 180 | 0 0 2 0 0 2 1 | 0 1 0 2 2 0 1 2 | 0 1 1 2 1 ----------+-----+-------------+---------------------------+-------------------------+------------- x3o . . . | 3 | 3 0 0 | 60 * * * * * * | 2 2 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 2 0 | * 180 * * * * * | 1 0 1 1 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 2 | * * 180 * * * * | 0 1 0 1 1 0 0 0 | 0 1 1 1 0 . o3x . . | 3 | 0 3 0 | * * * 120 * * * | 1 0 0 0 0 1 1 0 | 1 1 0 0 1 . . x3o . | 3 | 0 3 0 | * * * * 120 * * | 0 0 1 0 0 1 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 2 2 | * * * * * 180 * | 0 0 0 1 0 0 1 1 | 0 1 0 1 1 . . . o3x | 3 | 0 0 3 | * * * * * * 60 | 0 0 0 0 2 0 0 2 | 0 0 1 2 1 ----------+-----+-------------+---------------------------+-------------------------+------------- x3o3x . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 0 | 30 * * * * * * * | 1 1 0 0 0 x3o . . x ♦ 6 | 6 0 3 | 2 0 3 0 0 0 0 | * 60 * * * * * * | 0 1 1 0 0 x . x3o . ♦ 6 | 3 6 0 | 0 3 0 0 2 0 0 | * * 60 * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 4 4 | 0 2 2 0 0 2 0 | * * * 90 * * * * | 0 1 0 1 0 x . . o3x ♦ 6 | 3 0 6 | 0 0 3 0 0 0 2 | * * * * 60 * * * | 0 0 1 1 0 . o3x3o . ♦ 6 | 0 12 0 | 0 0 0 4 4 0 0 | * * * * * 30 * * | 1 0 0 0 1 . o3x . x ♦ 6 | 0 6 3 | 0 0 0 2 0 3 0 | * * * * * * 60 * | 0 1 0 0 1 . . x3o3x ♦ 12 | 0 12 12 | 0 0 0 0 4 6 4 | * * * * * * * 30 | 0 0 0 1 1 ----------+-----+-------------+---------------------------+-------------------------+------------- x3o3x3o . ♦ 30 | 30 60 0 | 10 30 0 20 20 0 0 | 5 0 10 0 0 5 0 0 | 6 * * * * x3o3x . x ♦ 24 | 24 24 12 | 8 12 12 8 0 12 0 | 2 4 0 6 0 0 4 0 | * 15 * * * x3o . o3x ♦ 9 | 9 0 9 | 3 0 9 0 0 0 3 | 0 3 0 0 3 0 0 0 | * * 20 * * x . x3o3x ♦ 24 | 12 24 24 | 0 12 12 0 8 12 8 | 0 0 4 6 4 0 0 2 | * * * 15 * . o3x3o3x ♦ 30 | 0 60 30 | 0 0 0 20 20 30 10 | 0 0 0 0 0 5 10 5 | * * * * 6
or . . . . . | 180 ♦ 4 4 | 2 8 4 4 | 4 4 4 4 1 | 2 4 1 -------------+-----+---------+-----------------+------------------+--------- x . . . . & | 2 | 360 * | 1 2 2 0 | 2 3 1 2 0 | 1 3 1 . . x . . | 2 | * 360 | 0 2 0 2 | 2 0 2 1 1 | 2 2 0 -------------+-----+---------+-----------------+------------------+--------- x3o . . . & | 3 | 3 0 | 120 * * * | 2 2 0 0 0 | 1 2 1 x . x . . & | 4 | 2 2 | * 360 * * | 1 0 1 1 0 | 1 2 0 x . . . x | 4 | 4 0 | * * 180 * | 0 2 0 1 0 | 0 2 1 . o3x . . & | 3 | 0 3 | * * * 240 | 1 0 1 0 1 | 2 1 0 -------------+-----+---------+-----------------+------------------+--------- x3o3x . . & ♦ 12 | 12 12 | 4 6 0 4 | 60 * * * * | 1 1 0 x3o . . x & ♦ 6 | 9 0 | 2 0 3 0 | * 120 * * * | 0 1 1 x . x3o . & ♦ 6 | 3 6 | 0 3 0 2 | * * 120 * * | 1 1 0 x . x . x ♦ 8 | 8 4 | 0 4 2 0 | * * * 90 * | 0 2 0 . o3x3o . ♦ 6 | 0 12 | 0 0 0 8 | * * * * 30 | 2 0 0 -------------+-----+---------+-----------------+------------------+--------- x3o3x3o . & ♦ 30 | 30 60 | 10 30 0 40 | 5 0 10 0 5 | 12 * * x3o3x . x & ♦ 24 | 36 24 | 8 24 12 8 | 2 4 4 6 0 | * 30 * x3o . o3x ♦ 9 | 18 0 | 6 0 9 0 | 0 6 0 0 0 | * * 20
xxxo3ooxx3xxoo3oxxx&#xt → all heights = sqrt(3/5) = 0.774597 (srip || pseudo prip || pseudo inv prip || inv srip) o...3o...3o...3o... & | 60 * ♦ 2 4 2 0 0 0 0 | 1 4 2 2 4 4 1 0 0 0 0 0 0 | 2 2 1 2 4 2 2 2 0 0 0 0 0 | 1 2 1 2 1 .o..3.o..3.o..3.o.. & | * 120 ♦ 0 0 1 2 2 1 2 | 0 0 0 0 2 2 1 1 2 2 1 4 3 | 0 0 0 1 2 2 1 3 1 1 3 2 1 | 0 1 1 3 2 --------------------------+--------+---------------------------+--------------------------------------------+----------------------------------------+-------------- x... .... .... .... & | 2 0 | 60 * * * * * * | 1 2 0 0 1 0 0 0 0 0 0 0 0 | 2 1 0 2 2 0 0 0 0 0 0 0 0 | 1 2 1 1 0 .... .... x... .... & | 2 0 | * 120 * * * * * | 0 1 1 1 0 1 0 0 0 0 0 0 0 | 1 1 1 0 1 0 1 1 0 0 0 0 0 | 1 1 0 1 1 oo..3oo..3oo..3oo..&#x & | 1 1 | * * 120 * * * * | 0 0 0 0 2 2 1 0 0 0 0 0 0 | 0 0 0 1 2 2 1 2 0 0 0 0 0 | 0 1 1 2 1 .x.. .... .... .... & | 0 2 | * * * 120 * * * | 0 0 0 0 1 0 0 1 1 1 0 1 0 | 0 0 0 1 1 1 0 1 1 1 1 1 0 | 0 1 1 2 1 .... .... .x.. .... & | 0 2 | * * * * 120 * * | 0 0 0 0 0 1 0 0 1 0 1 0 1 | 0 0 0 0 1 0 1 1 1 0 1 0 1 | 0 1 0 1 2 .... .... .... .x.. & | 0 2 | * * * * * 60 * | 0 0 0 0 0 0 1 0 0 2 0 2 0 | 0 0 0 0 0 2 0 2 0 1 1 2 0 | 0 0 1 3 1 .oo.3.oo.3.oo.3.oo.&#x | 0 2 | * * * * * * 120 | 0 0 0 0 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 0 0 1 0 0 2 1 1 | 0 0 0 2 2 --------------------------+--------+---------------------------+--------------------------------------------+----------------------------------------+-------------- x...3o... .... .... & | 3 0 | 3 0 0 0 0 0 0 | 20 * * * * * * * * * * * * | 2 0 0 2 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 x... .... x... .... & | 4 0 | 2 2 0 0 0 0 0 | * 60 * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 0 1 0 .... o...3x... .... & | 3 0 | 0 3 0 0 0 0 0 | * * 40 * * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 .... .... x...3o... & | 3 0 | 0 3 0 0 0 0 0 | * * * 40 * * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 0 0 | 1 0 0 1 1 xx.. .... .... ....&#x & | 2 2 | 1 0 2 1 0 0 0 | * * * * 120 * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 .... .... xx.. ....&#x & | 2 2 | 0 1 2 0 1 0 0 | * * * * * 120 * * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 0 | 0 1 0 1 1 .... .... .... ox..&#x & | 1 2 | 0 0 2 0 0 1 0 | * * * * * * 60 * * * * * * | 0 0 0 0 0 2 0 2 0 0 0 0 0 | 0 0 1 2 1 .x..3.o.. .... .... & | 0 3 | 0 0 0 3 0 0 0 | * * * * * * * 40 * * * * * | 0 0 0 1 0 0 0 1 1 1 0 0 0 | 0 1 1 1 1 .x.. .... .x.. .... & | 0 4 | 0 0 0 2 2 0 0 | * * * * * * * * 60 * * * * | 0 0 0 0 1 0 0 0 1 0 1 0 0 | 0 1 0 1 1 .x.. .... .... .x.. & | 0 4 | 0 0 0 2 0 2 0 | * * * * * * * * * 60 * * * | 0 0 0 0 0 1 0 0 0 1 0 1 0 | 0 0 1 2 0 .... .o..3.x.. .... & | 0 3 | 0 0 0 0 3 0 0 | * * * * * * * * * * 40 * * | 0 0 0 0 0 0 1 0 1 0 0 0 1 | 0 1 0 0 2 .xx. .... .... ....&#x & | 0 4 | 0 0 0 1 0 1 2 | * * * * * * * * * * * 120 * | 0 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 2 1 .... .ox. .... ....&#x & | 0 3 | 0 0 0 0 1 0 2 | * * * * * * * * * * * * 120 | 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 0 1 2 --------------------------+--------+---------------------------+--------------------------------------------+----------------------------------------+-------------- x...3o...3x... .... & ♦ 12 0 | 12 12 0 0 0 0 0 | 4 6 4 0 0 0 0 0 0 0 0 0 0 | 10 * * * * * * * * * * * * | 1 1 0 0 0 x... .... x...3o... & ♦ 6 0 | 3 6 0 0 0 0 0 | 0 3 0 2 0 0 0 0 0 0 0 0 0 | * 20 * * * * * * * * * * * | 1 0 0 1 0 .... o...3x...3o... & ♦ 6 0 | 0 12 0 0 0 0 0 | 0 0 4 4 0 0 0 0 0 0 0 0 0 | * * 10 * * * * * * * * * * | 1 0 0 0 1 xx..3oo.. .... ....&#x & ♦ 3 3 | 3 0 3 3 0 0 0 | 1 0 0 0 3 0 0 1 0 0 0 0 0 | * * * 40 * * * * * * * * * | 0 1 1 0 0 xx.. .... xx.. ....&#x & ♦ 4 4 | 2 2 4 2 2 0 0 | 0 1 0 0 2 2 0 0 1 0 0 0 0 | * * * * 60 * * * * * * * * | 0 1 0 1 0 xx.. .... .... ox..&#x & ♦ 2 4 | 1 0 4 2 0 2 0 | 0 0 0 0 2 0 2 0 0 1 0 0 0 | * * * * * 60 * * * * * * * | 0 0 1 1 0 .... oo..3xx.. ....&#x & ♦ 3 3 | 0 3 3 0 3 0 0 | 0 0 1 0 0 3 0 0 0 0 1 0 0 | * * * * * * 40 * * * * * * | 0 1 0 0 1 .... .... xxo.3oxx.&#xt & ♦ 3 9 | 0 3 6 3 3 3 6 | 0 0 0 1 0 3 3 1 0 0 0 3 3 | * * * * * * * 40 * * * * * | 0 0 0 1 1 .x..3.o..3.x.. .... & ♦ 0 12 | 0 0 0 12 12 0 0 | 0 0 0 0 0 0 0 4 6 0 4 0 0 | * * * * * * * * 10 * * * * | 0 1 0 0 1 .x..3.o.. .... .x.. & ♦ 0 6 | 0 0 0 6 0 3 0 | 0 0 0 0 0 0 0 2 0 3 0 0 0 | * * * * * * * * * 20 * * * | 0 0 1 1 0 .xx. .... .xo. .... & ♦ 0 6 | 0 0 0 2 2 1 4 | 0 0 0 0 0 0 0 0 1 0 0 2 2 | * * * * * * * * * * 60 * * | 0 0 0 1 1 .xx. .... .... .xx. ♦ 0 8 | 0 0 0 4 0 4 4 | 0 0 0 0 0 0 0 0 0 2 0 4 0 | * * * * * * * * * * * 30 * | 0 0 0 2 0 .... .ox.3.xo. .... ♦ 0 6 | 0 0 0 0 6 0 6 | 0 0 0 0 0 0 0 0 0 0 2 0 6 | * * * * * * * * * * * * 20 | 0 0 0 0 2 --------------------------+--------+---------------------------+--------------------------------------------+----------------------------------------+-------------- x...3o...3x...3o... & ♦ 30 0 | 30 60 0 0 0 0 0 | 10 30 20 20 0 0 0 0 0 0 0 0 0 | 5 10 5 0 0 0 0 0 0 0 0 0 0 | 2 * * * * xx..3oo..3xx.. ....&#x & ♦ 12 12 | 12 12 12 12 12 0 0 | 4 6 4 0 12 12 0 4 6 0 4 0 0 | 1 0 0 4 6 0 4 0 1 0 0 0 0 | * 10 * * * xx..3oo.. .... ox..&#x & ♦ 3 6 | 3 0 6 6 0 3 0 | 1 0 0 0 6 0 3 2 0 3 0 0 0 | 0 0 0 2 0 3 0 0 0 1 0 0 0 | * * 20 * * xxx. .... xxo.3oxx.&#xt & ♦ 6 18 | 3 6 12 12 6 9 12 | 0 3 0 2 6 6 6 2 3 6 0 12 6 | 0 1 0 0 3 3 0 2 0 1 3 3 0 | * * * 20 * .... oox.3xxo.3oxx.&#xt & ♦ 6 24 | 0 12 12 12 24 6 24 | 0 0 4 4 0 12 6 4 6 0 8 12 24 | 0 0 1 0 0 0 4 4 1 0 6 0 4 | * * * * 10
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