Acronym | bittit | ||
Name |
bitruncated triacontiditeron, Voronoi cell of lattice D5* | ||
Field of sections |
© | ||
Circumradius | sqrt(9/2) = 2.121320 | ||
Vertex figure |
© © | ||
Lace city in approx. ASCII-art |
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Coordinates | (sqrt(2), sqrt(2), 1/sqrt(2), 0, 0) & all permutations, all changes of sign | ||
Dihedral angles
(at margins) | |||
Face vector | 240, 720, 720, 280, 42 | ||
Confer |
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External links |
Incidence matrix according to Dynkin symbol
o3x3x3o4o . . . . . | 240 | 2 4 | 1 8 4 | 4 8 1 | 4 2 ----------+-----+---------+------------+-----------+------ . x . . . | 2 | 240 * | 1 4 0 | 4 4 0 | 4 1 . . x . . | 2 | * 480 | 0 2 2 | 1 4 1 | 2 2 ----------+-----+---------+------------+-----------+------ o3x . . . | 3 | 3 0 | 80 * * | 4 0 0 | 4 0 . x3x . . | 6 | 3 3 | * 320 * | 1 2 0 | 2 1 . . x3o . | 3 | 0 3 | * * 320 | 0 2 1 | 1 2 ----------+-----+---------+------------+-----------+------ o3x3x . . ♦ 12 | 12 6 | 4 4 0 | 80 * * | 2 0 . x3x3o . ♦ 12 | 6 12 | 0 4 4 | * 160 * | 1 1 . . x3o4o ♦ 6 | 0 12 | 0 0 8 | * * 40 | 0 2 ----------+-----+---------+------------+-----------+------ o3x3x3o . ♦ 30 | 30 30 | 10 20 10 | 5 5 0 | 32 * . x3x3o4o ♦ 48 | 24 96 | 0 32 64 | 0 16 8 | * 10
o3x3x3o4/3o . . . . . | 240 | 2 4 | 1 8 4 | 4 8 1 | 4 2 ------------+-----+---------+------------+-----------+------ . x . . . | 2 | 240 * | 1 4 0 | 4 4 0 | 4 1 . . x . . | 2 | * 480 | 0 2 2 | 1 4 1 | 2 2 ------------+-----+---------+------------+-----------+------ o3x . . . | 3 | 3 0 | 80 * * | 4 0 0 | 4 0 . x3x . . | 6 | 3 3 | * 320 * | 1 2 0 | 2 1 . . x3o . | 3 | 0 3 | * * 320 | 0 2 1 | 1 2 ------------+-----+---------+------------+-----------+------ o3x3x . . ♦ 12 | 12 6 | 4 4 0 | 80 * * | 2 0 . x3x3o . ♦ 12 | 6 12 | 0 4 4 | * 160 * | 1 1 . . x3o4/3o ♦ 6 | 0 12 | 0 0 8 | * * 40 | 0 2 ------------+-----+---------+------------+-----------+------ o3x3x3o . ♦ 30 | 30 30 | 10 20 10 | 5 5 0 | 32 * . x3x3o4/3o ♦ 48 | 24 96 | 0 32 64 | 0 16 8 | * 10
o3x3o *b3x3o . . . . . | 240 | 4 2 | 2 2 8 1 | 1 4 4 4 | 2 2 2 -------------+-----+---------+----------------+-------------+--------- . x . . . | 2 | 480 * | 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . x . | 2 | * 240 | 0 0 4 1 | 0 2 2 4 | 1 2 2 -------------+-----+---------+----------------+-------------+--------- o3x . . . | 3 | 3 0 | 160 * * * | 1 2 0 0 | 2 1 0 . x3o . . | 3 | 3 0 | * 160 * * | 1 0 2 0 | 2 0 1 . x . *b3x . | 6 | 3 3 | * * 320 * | 0 1 1 1 | 1 1 1 . . . x3o | 3 | 0 3 | * * * 80 | 0 0 0 4 | 0 2 2 -------------+-----+---------+----------------+-------------+--------- o3x3o . . ♦ 6 | 12 0 | 4 4 0 0 | 40 * * * | 2 0 0 o3x . *b3x . ♦ 12 | 12 6 | 4 0 4 0 | * 80 * * | 1 1 0 . x3o *b3x . ♦ 12 | 12 6 | 0 4 4 0 | * * 80 * | 1 0 1 . x . *b3x3o ♦ 12 | 6 12 | 0 0 4 4 | * * * 80 | 0 1 1 -------------+-----+---------+----------------+-------------+--------- o3x3o *b3x . ♦ 48 | 96 24 | 32 32 32 0 | 8 8 8 0 | 10 * * o3x . *b3x3o ♦ 30 | 30 30 | 10 0 20 10 | 0 5 0 5 | * 16 * . x3o *b3x3o ♦ 30 | 30 30 | 0 10 20 10 | 0 0 5 5 | * * 16
xooox3xuxux3ooxoo4ooooo&#xt → all heights = 1/sqrt(2) = 0.707107 (thex || u-ico || tah || u-ico || thex) o....3o....3o....4o.... & | 96 * * | 1 4 1 0 0 0 | 4 4 1 4 0 0 0 | 4 1 4 4 0 0 | 1 4 1 .o...3.o...3.o...4.o... & | * 48 * | 0 0 2 4 0 0 | 0 0 1 8 4 0 0 | 0 0 4 8 1 0 | 0 4 2 ..o..3..o..3..o..4..o.. | * * 96 | 0 0 0 2 2 2 | 0 0 0 4 4 1 4 | 0 0 2 8 1 2 | 0 4 2 ------------------------------+----------+---------------------+-------------------------+--------------------+------- x.... ..... ..... ..... & | 2 0 0 | 48 * * * * * | 4 0 1 0 0 0 0 | 4 0 4 0 0 0 | 1 4 0 ..... x.... ..... ..... & | 2 0 0 | * 192 * * * * | 1 2 0 1 0 0 0 | 2 1 1 2 0 0 | 1 2 1 oo...3oo...3oo...4oo...&#x & | 1 1 0 | * * 96 * * * | 0 0 1 4 0 0 0 | 0 0 4 4 0 0 | 0 4 1 .oo..3.oo..3.oo..4.oo..&#x & | 0 1 1 | * * * 192 * * | 0 0 0 2 2 0 0 | 0 0 1 4 1 0 | 0 2 2 ..... ..x.. ..... ..... | 0 0 2 | * * * * 96 * | 0 0 0 2 0 1 2 | 0 0 2 4 0 2 | 0 4 1 ..... ..... ..x.. ..... | 0 0 2 | * * * * * 96 | 0 0 0 0 2 0 2 | 0 0 0 4 1 1 | 0 2 2 ------------------------------+----------+---------------------+-------------------------+--------------------+------- x....3x.... ..... ..... & | 6 0 0 | 3 3 0 0 0 0 | 64 * * * * * * | 2 0 1 0 0 0 | 1 2 0 ..... x....3o.... ..... & | 3 0 0 | 0 3 0 0 0 0 | * 128 * * * * * | 1 1 0 1 0 0 | 1 1 1 xo... ..... ..... .....&#x & | 2 1 0 | 1 0 2 0 0 0 | * * 48 * * * * | 0 0 4 0 0 0 | 0 4 0 ..... xux.. ..... .....&#xt & | 2 2 2 | 0 1 2 2 1 0 | * * * 192 * * * | 0 0 1 2 0 0 | 0 2 1 ..... ..... .ox.. .....&#x & | 0 1 2 | 0 0 0 2 0 1 | * * * * 192 * * | 0 0 0 2 1 0 | 0 1 2 ..o..3..x.. ..... ..... | 0 0 3 | 0 0 0 0 3 0 | * * * * * 32 * | 0 0 2 0 0 2 | 0 4 0 ..... ..x..3..x.. ..... | 0 0 6 | 0 0 0 0 3 3 | * * * * * * 64 | 0 0 0 2 0 1 | 0 2 1 ------------------------------+----------+---------------------+-------------------------+--------------------+------- x....3x....3o.... ..... & ♦ 12 0 0 | 6 12 0 0 0 0 | 4 4 0 0 0 0 0 | 32 * * * * * | 1 1 0 ..... x....3o....4o.... & ♦ 6 0 0 | 0 12 0 0 0 0 | 0 8 0 0 0 0 0 | * 16 * * * * | 1 0 1 xoo..3xux.. ..... .....&#xt & ♦ 6 3 3 | 3 3 6 3 3 0 | 1 0 3 3 0 1 0 | * * 64 * * * | 0 2 0 ..... xux..3oox.. .....&#xt & ♦ 3 3 6 | 0 3 3 6 3 3 | 0 1 0 3 3 0 1 | * * * 128 * * | 0 1 1 ..... ..... .oxo.4.ooo.&#xt ♦ 0 2 4 | 0 0 0 8 0 4 | 0 0 0 0 8 0 0 | * * * * 24 * | 0 0 2 ..o..3..x..3..x.. ..... ♦ 0 0 12 | 0 0 0 0 12 6 | 0 0 0 0 0 4 4 | * * * * * 16 | 0 2 0 ------------------------------+----------+---------------------+-------------------------+--------------------+------- x....3x....3o....4o.... & ♦ 48 0 0 | 24 96 0 0 0 0 | 32 64 0 0 0 0 0 | 16 8 0 0 0 0 | 2 * * xoo..3xux..3oox.. .....&#xt & ♦ 12 6 12 | 6 12 12 12 12 6 | 4 4 6 12 6 4 4 | 1 0 4 4 0 1 | * 32 * ..... xuxux3ooxoo4ooooo&#xt ♦ 12 12 24 | 0 24 12 48 12 24 | 0 16 0 24 48 0 8 | 0 2 0 16 6 0 | * * 8
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