Acronym | bicotoe |
Name | bi - (cuboctahedron, truncated octahedron)-duoprism |
Circumradius | sqrt(7/2) = 1.870829 |
Face vector | 576, 2592, 4464, 3696, 1472, 224 |
Confer |
This polypeton could be derived from gee in its representation xo3oo4oo ox3oo4oo&#zx as a partial biexpansion. However gee also allows for the representation oo3ox3oo oo3xo3oo&#zx and therefore also bitettut could be attributed with that description, i.e. that one is not specific enough.
Incidence matrix according to Dynkin symbol
xo3xx4oo ox3xx4oo&#zx → height = 0 (tegum sum of 2 interchanged cotoes) o.3o.4o. o.3o.4o. & | 576 | 1 2 4 2 | 2 4 1 8 2 2 3 8 | 8 2 2 4 4 4 1 6 1 6 4 8 | 4 4 1 2 2 2 4 12 3 8 | 2 1 4 6 2 ------------------------+-----+------------------+-----------------------------------+------------------------------------------------+------------------------------------+--------------- x. .. .. .. .. .. & | 2 | 288 * * * | 2 4 0 0 0 0 2 0 | 8 2 2 0 0 0 0 4 1 4 0 0 | 4 4 1 0 0 0 4 8 2 0 | 2 0 4 4 0 .. x. .. .. .. .. & | 2 | * 576 * * | 1 0 1 4 0 0 0 2 | 4 0 0 4 2 2 0 2 0 1 2 4 | 2 2 0 2 2 1 1 6 1 6 | 1 1 2 4 2 .. .. .. .. x. .. & | 2 | * * 1152 * | 0 1 0 2 1 1 0 1 | 2 1 1 1 2 2 1 1 0 1 1 2 | 2 2 1 1 1 2 1 4 1 3 | 2 1 2 3 1 oo3oo4oo oo3oo4oo&#x | 2 | * * * 576 | 0 0 0 0 0 0 2 4 | 0 0 0 0 0 0 0 4 1 4 2 4 | 0 0 0 0 0 0 4 8 2 4 | 0 0 4 4 1 ------------------------+-----+------------------+-----------------------------------+------------------------------------------------+------------------------------------+--------------- x.3x. .. .. .. .. & | 6 | 3 3 0 0 | 192 * * * * * * * | 4 0 0 0 0 0 0 2 0 0 0 0 | 2 2 0 0 0 0 1 4 0 0 | 1 0 2 2 0 x. .. .. .. x. .. & | 4 | 2 0 2 0 | * 576 * * * * * * | 2 1 1 0 0 0 0 0 0 1 0 0 | 2 2 1 0 0 0 1 2 1 0 | 2 0 2 2 0 .. x.4o. .. .. .. & | 4 | 0 4 0 0 | * * 144 * * * * * | 0 0 0 4 0 0 0 0 0 0 2 0 | 0 0 0 2 2 0 0 0 1 4 | 0 1 0 2 2 .. x. .. .. x. .. & | 4 | 0 2 2 0 | * * * 1152 * * * * | 1 0 0 1 1 1 0 0 0 0 0 1 | 1 1 0 1 1 1 0 2 0 2 | 1 1 1 2 1 .. .. .. o.3x. .. & | 3 | 0 0 3 0 | * * * * 384 * * * | 0 1 0 0 2 0 1 1 0 0 0 0 | 2 0 1 1 0 2 1 2 0 0 | 2 1 2 1 0 .. .. .. .. x.4o. & | 4 | 0 0 4 0 | * * * * * 288 * * | 0 0 1 0 0 2 1 0 0 0 1 0 | 0 2 1 0 1 2 0 0 0 0 | 2 1 0 0 1 xo .. .. .. .. ..&#x & | 3 | 1 0 0 2 | * * * * * * 576 * | 0 0 0 0 0 0 0 2 1 2 0 0 | 0 0 0 0 0 0 4 4 1 0 | 0 0 4 2 0 .. xx .. .. .. ..&#x & | 4 | 0 1 1 2 | * * * * * * * 1152 | 0 0 0 0 0 0 0 1 0 1 1 2 | 0 0 0 0 0 0 1 4 1 3 | 0 0 2 3 1 ------------------------+-----+------------------+-----------------------------------+------------------------------------------------+------------------------------------+--------------- x.3x. .. .. x. .. & ♦ 12 | 6 6 6 0 | 2 3 0 3 0 0 0 0 | 384 * * * * * * * * * * * | 1 1 0 0 0 0 0 1 0 0 | 1 0 1 1 0 x. .. .. o.3x. .. & ♦ 6 | 3 0 6 0 | 0 3 0 0 2 0 0 0 | * 192 * * * * * * * * * * | 2 0 1 0 0 0 1 0 0 0 | 2 0 2 0 0 x. .. .. .. x.4o. & ♦ 8 | 4 0 8 0 | 0 4 0 0 0 2 0 0 | * * 144 * * * * * * * * * | 0 2 1 0 0 0 0 0 1 0 | 2 0 0 2 0 .. x.4o. .. x. .. & ♦ 8 | 0 8 4 0 | 0 0 2 4 0 0 0 0 | * * * 288 * * * * * * * * | 0 0 0 1 1 0 0 0 0 1 | 0 1 0 1 1 .. x. .. o.3x. .. & ♦ 6 | 0 3 6 0 | 0 0 0 3 2 0 0 0 | * * * * 384 * * * * * * * | 1 0 0 1 0 1 0 1 0 0 | 1 1 1 1 0 .. x. .. .. x.4o. & ♦ 8 | 0 4 8 0 | 0 0 0 4 0 2 0 0 | * * * * * 288 * * * * * * | 0 1 0 0 1 1 0 0 0 1 | 1 1 0 1 1 .. .. .. o.3x.4o. & ♦ 12 | 0 0 24 0 | 0 0 0 0 8 6 0 0 | * * * * * * 48 * * * * * | 0 0 1 0 0 2 0 0 0 0 | 2 1 0 0 0 xo3xx .. .. .. ..&#x & ♦ 9 | 3 3 3 6 | 1 0 0 0 1 0 3 3 | * * * * * * * 384 * * * * | 0 0 0 0 0 0 2 2 0 0 | 0 0 2 1 0 xo .. .. ox .. ..&#x ♦ 4 | 2 0 0 4 | 0 0 0 0 0 0 4 0 | * * * * * * * * 144 * * * | 0 0 0 0 0 0 4 0 0 0 | 0 0 4 0 0 xo .. .. .. xx ..&#x & ♦ 6 | 2 1 2 4 | 0 1 0 0 0 0 2 2 | * * * * * * * * * 576 * * | 0 0 0 0 0 0 1 2 1 0 | 0 0 2 2 0 .. xx4oo .. .. ..&#x & ♦ 8 | 0 4 4 4 | 0 0 1 0 0 1 0 4 | * * * * * * * * * * 288 * | 0 0 0 0 0 0 0 0 1 2 | 0 0 0 2 1 .. xx .. .. xx ..&#x ♦ 8 | 0 4 4 4 | 0 0 0 2 0 0 0 4 | * * * * * * * * * * * 576 | 0 0 0 0 0 0 0 2 0 2 | 0 0 1 2 1 ------------------------+-----+------------------+-----------------------------------+------------------------------------------------+------------------------------------+--------------- x.3x. .. o.3x. .. & ♦ 18 | 9 9 18 0 | 3 9 0 9 6 0 0 0 | 3 3 0 0 3 0 0 0 0 0 0 0 | 128 * * * * * * * * * | 1 0 1 0 0 x.3x. .. .. x.4o. & ♦ 24 | 12 12 24 0 | 4 12 0 12 0 6 0 0 | 4 0 3 0 0 3 0 0 0 0 0 0 | * 96 * * * * * * * * | 1 0 0 1 0 x. .. .. o.3x.4o. & ♦ 24 | 12 0 48 0 | 0 24 0 0 16 12 0 0 | 0 8 6 0 0 0 2 0 0 0 0 0 | * * 24 * * * * * * * | 2 0 0 0 0 .. x.4o. o.3x. .. & ♦ 12 | 0 12 12 0 | 0 0 3 12 4 0 0 0 | 0 0 0 3 4 0 0 0 0 0 0 0 | * * * 96 * * * * * * | 0 1 0 1 0 .. x.4o. .. x.4o. & ♦ 16 | 0 16 16 0 | 0 0 4 16 0 4 0 0 | 0 0 0 4 0 4 0 0 0 0 0 0 | * * * * 72 * * * * * | 0 1 0 0 1 .. x. .. o.3x.4o. & ♦ 24 | 0 12 48 0 | 0 0 0 24 16 12 0 0 | 0 0 0 0 8 6 2 0 0 0 0 0 | * * * * * 48 * * * * | 1 1 0 0 0 xo3xx .. ox .. ..&#x & ♦ 12 | 6 3 6 12 | 1 3 0 0 2 0 12 6 | 0 1 0 0 0 0 0 2 3 3 0 0 | * * * * * * 192 * * * | 0 0 2 0 0 xo3xx .. .. xx ..&#x & ♦ 18 | 6 9 12 12 | 2 3 0 6 2 0 6 12 | 1 0 0 0 1 0 0 2 0 3 0 3 | * * * * * * * 384 * * | 0 0 1 1 0 xo .. .. .. xx4oo&#x & ♦ 12 | 4 4 8 8 | 0 4 1 0 0 2 4 8 | 0 0 1 0 0 0 0 0 0 4 2 0 | * * * * * * * * 144 * | 0 0 0 2 0 .. xx4oo .. xx ..&#x & ♦ 16 | 0 12 12 8 | 0 0 2 8 0 2 0 12 | 0 0 0 1 0 1 0 0 0 0 2 4 | * * * * * * * * * 288 | 0 0 0 1 1 ------------------------+-----+------------------+-----------------------------------+------------------------------------------------+------------------------------------+--------------- x.3x. .. o.3x.4o. & ♦ 72 | 36 36 144 0 | 12 72 0 72 48 36 0 0 | 24 24 18 0 24 18 6 0 0 0 0 0 | 8 6 3 0 0 3 0 0 0 0 | 16 * * * * .. x.4o. o.3x.4o. & ♦ 48 | 0 48 96 0 | 0 0 12 96 32 24 0 0 | 0 0 0 24 32 24 4 0 0 0 0 0 | 0 0 0 8 6 4 0 0 0 0 | * 12 * * * xo3xx .. ox3xx ..&#x ♦ 36 | 18 18 36 36 | 6 18 0 18 12 0 36 36 | 6 6 0 0 6 0 0 12 9 18 0 9 | 2 0 0 0 0 0 6 6 0 0 | * * 64 * * xo3xx .. .. xx4oo&#x & ♦ 36 | 12 24 36 24 | 4 12 3 24 4 0 12 36 | 4 0 3 3 4 3 0 4 0 12 6 12 | 0 1 0 1 0 0 0 4 3 3 | * * * 96 * .. xx4oo .. xx4oo&#x ♦ 32 | 0 32 32 16 | 0 0 8 32 0 8 0 32 | 0 0 0 8 0 8 0 0 0 0 8 16 | 0 0 0 0 2 0 0 0 0 8 | * * * * 36
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