Acronym | bittin | ||
Name | bitruncated penteract | ||
Field of sections |
© | ||
Circumradius | sqrt(13/2) = 2.549510 | ||
Inradius wrt. tah | sqrt(2) = 1.414214 | ||
Inradius wrt. tip | 7/sqrt(10) = 2.213594 | ||
Lace city in approx. ASCII-art |
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Vertex figure |
© © | ||
Coordinates | (sqrt(2), sqrt(2), sqrt(2), 1/sqrt(2), 0) & all permutations, all changes of sign | ||
Volume | 1801 sqrt(2)/15 = 169.799908 | ||
Dihedral angles
(at margins) | |||
Face vector | 320, 800, 720, 280, 42 | ||
Confer |
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External links |
Incidence matrix according to Dynkin symbol
o3o3x3x4o . . . . . | 320 | 3 2 | 3 6 1 | 1 6 3 | 2 3 ----------+-----+---------+------------+-----------+------ . . x . . | 2 | 480 * | 2 2 0 | 1 4 1 | 2 2 . . . x . | 2 | * 320 | 0 3 1 | 0 3 3 | 1 3 ----------+-----+---------+------------+-----------+------ . o3x . . | 3 | 3 0 | 320 * * | 1 2 0 | 2 1 . . x3x . | 6 | 3 3 | * 320 * | 0 2 1 | 1 2 . . . x4o | 4 | 0 4 | * * 80 | 0 0 3 | 0 3 ----------+-----+---------+------------+-----------+------ o3o3x . . ♦ 4 | 6 0 | 4 0 0 | 80 * * | 2 0 . o3x3x . ♦ 12 | 12 6 | 4 4 0 | * 160 * | 1 1 . . x3x4o ♦ 24 | 12 24 | 0 8 6 | * * 40 | 0 2 ----------+-----+---------+------------+-----------+------ o3o3x3x . ♦ 20 | 30 10 | 20 10 0 | 5 5 0 | 32 * . o3x3x4o ♦ 96 | 96 96 | 32 64 24 | 0 16 8 | * 10
o3o3x3x4/3o . . . . . | 320 | 3 2 | 3 6 1 | 1 6 3 | 2 3 ------------+-----+---------+------------+-----------+------ . . x . . | 2 | 480 * | 2 2 0 | 1 4 1 | 2 2 . . . x . | 2 | * 320 | 0 3 1 | 0 3 3 | 1 3 ------------+-----+---------+------------+-----------+------ . o3x . . | 3 | 3 0 | 320 * * | 1 2 0 | 2 1 . . x3x . | 6 | 3 3 | * 320 * | 0 2 1 | 1 2 . . . x4/3o | 4 | 0 4 | * * 80 | 0 0 3 | 0 3 ------------+-----+---------+------------+-----------+------ o3o3x . . ♦ 4 | 6 0 | 4 0 0 | 80 * * | 2 0 . o3x3x . ♦ 12 | 12 6 | 4 4 0 | * 160 * | 1 1 . . x3x4/3o ♦ 24 | 12 24 | 0 8 6 | * * 40 | 0 2 ------------+-----+---------+------------+-----------+------ o3o3x3x . ♦ 20 | 30 10 | 20 10 0 | 5 5 0 | 32 * . o3x3x4/3o ♦ 96 | 96 96 | 32 64 24 | 0 16 8 | * 10
x3x3x *b3o3o . . . . . | 320 | 1 3 1 | 3 1 3 3 | 3 3 3 1 | 3 1 1 -------------+-----+-------------+----------------+-------------+--------- x . . . . | 2 | 160 * * | 3 1 0 0 | 3 3 0 0 | 3 1 0 . x . . . | 2 | * 480 * | 1 0 1 2 | 1 2 2 1 | 2 1 1 . . x . . | 2 | * * 160 | 0 1 3 0 | 3 0 3 0 | 3 0 1 -------------+-----+-------------+----------------+-------------+--------- x3x . . . | 6 | 3 3 0 | 160 * * * | 1 2 0 0 | 2 1 0 x . x . . | 4 | 2 0 2 | * 80 * * | 3 0 0 0 | 3 0 0 . x3x . . | 6 | 0 3 3 | * * 160 * | 1 0 2 0 | 2 0 1 . x . *b3o . | 3 | 0 3 0 | * * * 320 | 0 1 1 1 | 1 1 1 -------------+-----+-------------+----------------+-------------+--------- x3x3x . . ♦ 24 | 12 12 12 | 4 6 4 0 | 40 * * * | 2 0 0 x3x . *b3o . ♦ 12 | 6 12 0 | 4 0 0 4 | * 80 * * | 1 1 0 . x3x *b3o . ♦ 12 | 0 12 6 | 0 0 4 4 | * * 80 * | 1 0 1 . x . *b3o3o ♦ 4 | 0 6 0 | 0 0 0 4 | * * * 80 | 0 1 1 -------------+-----+-------------+----------------+-------------+--------- x3x3x *b3o . ♦ 96 | 48 96 48 | 32 24 32 32 | 8 8 8 0 | 10 * * x3x . *b3o3o ♦ 20 | 10 30 0 | 10 0 0 20 | 0 5 0 5 | * 16 * . x3x *b3o3o ♦ 20 | 0 30 10 | 0 0 10 20 | 0 0 5 5 | * * 16
o3o3x3x4s demi( . . . . . ) | 320 | 3 1 1 | 3 3 1 3 | 1 3 3 3 | 1 3 1 ------------------+-----+-------------+----------------+-------------+--------- demi( . . x . . ) | 2 | 480 * * | 2 1 0 1 | 1 2 1 2 | 1 2 1 demi( . . . x . ) | 2 | * 160 * | 0 3 1 0 | 0 3 3 0 | 1 3 0 sefa( . . . x4s ) | 2 | * * 160 | 0 0 1 3 | 0 0 3 3 | 0 3 1 ------------------+-----+-------------+----------------+-------------+--------- demi( . o3x . . ) | 3 | 3 0 0 | 320 * * * | 1 1 0 1 | 1 1 1 demi( . . x3x . ) | 6 | 3 3 0 | * 160 * * | 0 2 1 0 | 1 2 0 . . . x4s | 4 | 0 2 2 | * * 80 * | 0 0 3 0 | 0 3 0 sefa( . . x3x4s ) | 6 | 3 0 3 | * * * 160 | 0 0 1 2 | 0 2 1 ------------------+-----+-------------+----------------+-------------+--------- demi( o3o3x . . ) ♦ 4 | 6 0 0 | 4 0 0 0 | 80 * * * | 1 0 1 demi( . o3x3x . ) ♦ 12 | 12 6 0 | 4 4 0 0 | * 80 * * | 1 1 0 . . x3x4s ♦ 24 | 12 12 12 | 0 4 6 4 | * * 40 * | 0 2 0 sefa( . o3x3x4s ) ♦ 12 | 12 0 6 | 4 0 0 4 | * * * 80 | 0 1 1 ------------------+-----+-------------+----------------+-------------+--------- demi( o3o3x3x . ) ♦ 20 | 30 10 0 | 20 10 0 0 | 5 5 0 0 | 16 * * . o3x3x4s ♦ 96 | 96 48 48 | 32 32 24 32 | 0 8 8 8 | * 10 * sefa( o3o3x3x4s ) ♦ 20 | 30 0 10 | 20 0 0 10 | 5 0 0 5 | * * 16 starting figure: o3o3x3x4x
ooooo3xooox3xuxux4ooqoo&#xt → all heights = 1/sqrt(2) = 0.707107 (tah || u-rit || (x,q)-tat || u-rit || tah) o....3o....3o....4o.... & | 192 * * | 2 2 1 0 0 | 1 4 1 2 2 0 0 | 2 2 1 4 1 0 | 1 2 2 .o...3.o...3.o...4.o... & | * 64 * | 0 0 3 2 0 | 0 0 0 3 6 1 0 | 0 0 1 6 3 0 | 0 2 3 ..o..3..o..3..o..4..o.. | * * 64 | 0 0 0 2 3 | 0 0 0 0 6 1 3 | 0 0 0 6 3 1 | 0 2 3 ------------------------------+-----------+--------------------+-------------------------+--------------------+------- ..... x.... ..... ..... & | 2 0 0 | 192 * * * * | 1 2 0 1 0 0 0 | 2 1 1 2 0 0 | 1 2 1 ..... ..... x.... ..... & | 2 0 0 | * 192 * * * | 0 2 1 0 1 0 0 | 1 2 0 2 1 0 | 1 1 2 oo...3oo...3oo...4oo...&#x & | 1 1 0 | * * 192 * * | 0 0 0 2 2 0 0 | 0 0 1 4 1 0 | 0 2 2 .oo..3.oo..3.oo..4.oo..&#x & | 0 1 1 | * * * 128 * | 0 0 0 0 3 1 0 | 0 0 0 3 3 0 | 0 1 3 ..... ..... ..x.. ..... | 0 0 2 | * * * * 96 | 0 0 0 0 2 0 2 | 0 0 0 4 1 1 | 0 2 2 ------------------------------+-----------+--------------------+-------------------------+--------------------+------- o....3x.... ..... ..... & | 3 0 0 | 3 0 0 0 0 | 64 * * * * * * | 2 0 1 0 0 0 | 1 2 0 ..... x....3x.... ..... & | 6 0 0 | 3 3 0 0 0 | * 128 * * * * * | 1 1 0 1 0 0 | 1 1 1 ..... ..... x....4o.... & | 4 0 0 | 0 4 0 0 0 | * * 48 * * * * | 0 2 0 0 1 0 | 1 0 2 ..... xo... ..... .....&#x & | 2 1 0 | 1 0 2 0 0 | * * * 192 * * * | 0 0 1 2 0 0 | 0 2 1 ..... ..... xux.. .....&#xt & | 2 2 2 | 0 1 2 2 1 | * * * * 192 * * | 0 0 0 2 1 0 | 0 1 2 ..... ..... ..... .oqo.&#xt | 0 2 2 | 0 0 0 4 0 | * * * * * 32 * | 0 0 0 0 3 0 | 0 0 3 ..... ..o..3..x.. ..... | 0 0 3 | 0 0 0 0 3 | * * * * * * 64 | 0 0 0 2 0 1 | 0 2 1 ------------------------------+-----------+--------------------+-------------------------+--------------------+------- o....3x....3x.... ..... & ♦ 12 0 0 | 12 6 0 0 0 | 4 4 0 0 0 0 0 | 32 * * * * * | 1 1 0 ..... x....3x....4o.... & ♦ 24 0 0 | 12 24 0 0 0 | 0 8 6 0 0 0 0 | * 16 * * * * | 1 0 1 oo...3xo... ..... .....&#x & ♦ 3 1 0 | 3 0 3 0 0 | 1 0 0 3 0 0 0 | * * 64 * * * | 0 2 0 ..... xoo..3xux.. .....&#xt & ♦ 6 3 3 | 3 3 6 3 3 | 0 1 0 3 3 0 1 | * * * 128 * * | 0 1 1 ..... ..... xuxux4ooqoo&#xt ♦ 8 8 8 | 0 8 8 16 4 | 0 0 2 0 8 4 0 | * * * * 24 * | 0 0 2 ..o..3..o..3..x.. ..... ♦ 0 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 4 | * * * * * 16 | 0 2 0 ------------------------------+-----------+--------------------+-------------------------+--------------------+------- o....3x....3x....4o.... & ♦ 96 0 0 | 96 96 0 0 0 | 32 64 24 0 0 0 0 | 16 8 0 0 0 0 | 2 * * ooo..3xoo..3xux.. .....&#xt & ♦ 12 4 4 | 12 6 12 4 6 | 4 4 0 12 6 0 4 | 1 0 4 4 0 1 | * 32 * ..... xooox3xuxux4ooqoo&#xt ♦ 48 24 24 | 24 48 48 48 24 | 0 16 12 24 48 12 8 | 0 2 0 16 6 0 | * * 8
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