Acronym | ... |
Name | s4x2s4x (?) |
Circumradius | ... |
Face vector | 32, 80, 72, 24 |
No uniform realisation is possible: if cells would become uniform variants (cubes), then the vertex figure should become a tridpy, which in turn is not orbiform. But uniform realisations always require orbiform vertex figures.
Incidence matrix according to Dynkin symbol
s4x2s4x demi( . . . . ) | 32 | 1 1 1 1 1 | 1 1 1 2 1 2 1 | 1 1 1 1 2 ----------------+----+----------------+-----------------+---------- demi( . x . . ) | 2 | 16 * * * * | 1 1 0 1 0 0 1 | 1 1 0 1 1 x demi( . . . x ) | 2 | * 16 * * * | 1 0 1 0 1 1 0 | 0 1 1 1 1 x s 2 s . | 2 | * * 16 * * | 0 0 0 2 0 2 0 | 1 0 1 0 2 q sefa( s4x . . ) | 2 | * * * 16 * | 0 1 0 1 1 0 0 | 1 1 0 0 1 w sefa( . . s4x ) | 2 | * * * * 16 | 0 0 1 0 0 1 1 | 0 0 1 1 1 w ----------------+----+----------------+-----------------+---------- demi( . x . x ) | 4 | 2 2 0 0 0 | 8 * * * * * * | 0 1 0 1 0 xxxx s4x . . | 4 | 2 0 0 2 0 | * 8 * * * * * | 1 1 0 0 0 xwxw . . s4x | 4 | 0 2 0 0 2 | * * 8 * * * * | 0 0 1 1 0 xwxw sefa( s4x2s . ) | 4 | 1 0 2 1 0 | * * * 16 * * * | 1 0 0 0 1 xqwq sefa( s4x 2 x ) | 4 | 0 2 0 2 0 | * * * * 8 * * | 0 1 0 0 1 xwxw sefa( s 2 s4x ) | 4 | 0 1 2 0 1 | * * * * * 16 * | 0 0 1 0 1 xqwq sefa( . x2s4x ) | 4 | 2 0 0 0 2 | * * * * * * 8 | 0 0 0 1 1 xwxw ----------------+----+----------------+-----------------+---------- s4x2s . ♦ 8 | 4 0 4 4 0 | 0 2 0 4 0 0 0 | 4 * * * * s4x 2 x ♦ 8 | 4 4 0 4 0 | 2 2 0 0 2 0 0 | * 4 * * * s 2 s4x ♦ 8 | 0 4 4 0 4 | 0 0 2 0 0 4 0 | * * 4 * * . x2s4x ♦ 8 | 4 4 0 0 4 | 2 0 2 0 0 0 2 | * * * 4 * sefa( s4x2s4x ) ♦ 8 | 2 2 4 2 2 | 0 0 0 2 1 2 1 | * * * * 8
or demi( . . . . ) | 32 | 2 1 2 | 1 2 4 2 | 2 2 2 ------------------+----+----------+------------+------ demi( . x . . ) & | 2 | 32 * * | 1 1 1 1 | 1 2 1 x s 2 s . | 2 | * 16 * | 0 0 4 0 | 2 0 2 q sefa( s4x . . ) & | 2 | * * 32 | 0 1 1 1 | 1 1 1 w ------------------+----+----------+------------+------ demi( . x . x ) | 4 | 4 0 0 | 8 * * * | 0 2 0 xxxx s4x . . & | 4 | 2 0 2 | * 16 * * | 1 1 0 xwxw sefa( s4x2s . ) & | 4 | 1 2 1 | * * 32 * | 1 0 1 xqwq sefa( s4x 2 x ) & | 4 | 2 0 2 | * * * 16 | 0 1 1 xwxw ------------------+----+----------+------------+------ s4x2s . & ♦ 8 | 4 4 4 | 0 2 4 0 | 8 * * s4x 2 x & ♦ 8 | 8 0 4 | 2 2 0 2 | * 8 * sefa( s4x2s4x ) ♦ 8 | 4 4 4 | 0 0 4 2 | * * 8
or 32 | 2 1 2 | 1 4 4 | 4 2 ---+----------+---------+----- 2 | 32 * * | 1 2 1 | 2 2 x 2 | * 16 * | 0 0 4 | 4 0 q 2 | * * 32 | 0 2 1 | 2 1 w ---+----------+---------+----- 4 | 4 0 0 | 8 * * | 0 2 xxxx 4 | 2 0 2 | * 32 * | 1 1 xwxw 4 | 1 2 1 | * * 32 | 2 0 xqwq ---+----------+---------+----- 8 | 4 4 4 | 0 2 4 | 16 * s4x2s 8 | 8 0 4 | 2 4 0 | * 8 s4x2x starting figure: x4x2x4x
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