Acronym ...
Name tetrahedral - square-prismantiprismoid
Circumradius ...
Confer
more general:
s2nx2o3o4s  
general polytopal classes:
isogonal  
External
links
polytopewiki

This isogonal polyteron is obtained by hemiation of ocube. But because of lower degree of freedom the resulting edge sizes cannot be made all alike.


Incidence matrix according to Dynkin symbol

s4x2o3o4s

demi( . . . . . ) | 32 |  1  3  3  1 | 1  3  6  9  3 |  3  3 1  9  4  3 | 3 1 1  4
------------------+----+-------------+---------------+------------------+---------
demi( . x . . . ) |  2 | 16  *  *  * | 1  3  3  0  0 |  3  0 0  6  0  3 | 3 0 1  3  x
      s . 2 . s   |  2 |  * 48  *  * | 0  0  2  4  0 |  1  2 0  4  2  0 | 2 1 0  2  q
      . . . o4s   |  2 |  *  * 48  * | 0  1  0  2  2 |  0  1 1  2  2  2 | 1 1 1  2  q
sefa( s4x . . . ) |  2 |  *  *  * 16 | 1  0  3  0  0 |  3  0 0  3  0  0 | 3 0 0  1  w
------------------+----+-------------+---------------+------------------+---------
      s4x . . .   |  4 |  2  0  0  2 | 8  *  *  *  * |  3  0 0  0  0  0 | 3 0 0  0  x2w
      . x 2 o4s   |  4 |  2  0  2  0 | * 24  *  *  * |  0  0 0  2  0  2 | 1 0 1  2  x2q
sefa( s4x 2 . s ) |  4 |  1  2  0  1 | *  * 48  *  * |  1  0 0  2  0  0 | 2 0 0  1  xw&#q
sefa( s . 2 o4s ) |  3 |  0  2  1  0 | *  *  * 96  * |  0  1 0  1  1  0 | 1 1 0  1  q3o
sefa( . . o3o4s ) |  3 |  0  0  3  0 | *  *  *  * 32 |  0  0 1  0  1  1 | 0 1 1  1  q3o
------------------+----+-------------+---------------+------------------+---------
      s4x 2 . s   |  8 |  4  4  0  4 | 2  0  4  0  0 | 12  * *  *  *  * | 2 0 0  0  xw2wx&#q (recta)
      s . 2 o4s   |  4 |  0  4  2  0 | 0  0  0  4  0 |  * 24 *  *  *  * | 1 1 0  0  q-tet
      . . o3o4s   |  4 |  0  0  6  0 | 0  0  0  0  4 |  *  * 8  *  *  * | 0 1 1  0  q-tet
sefa( s4x 2 o4s ) |  6 |  2  4  2  1 | 0  1  2  2  0 |  *  * * 48  *  * | 1 0 0  1  wx2oq&#q (wedge-like trip variant)
sefa( s 2 o3o4s ) |  4 |  0  3  3  0 | 0  0  0  3  1 |  *  * *  * 32  * | 0 1 0  1  q-tet
sefa( . x2o3o4s ) |  6 |  3  0  6  0 | 0  3  0  0  2 |  *  * *  *  * 16 | 0 0 1  1  x q3o (trip variant)
------------------+----+-------------+---------------+------------------+---------
      s4x 2 o4s   | 16 |  8 16  8  8 | 4  4 16 16  0 |  4  4 0  8  0  0 | 6 * *  *  square prismantiprismoid
      s 2 o3o4s   |  8 |  0 12 12  0 | 0  0  0 24  8 |  0  6 2  0  8  0 | * 4 *  *  q-hex
      . x2o3o4s   |  8 |  4  0 12  0 | 0  6  0  0  8 |  0  0 2  0  0  4 | * * 4  *  x q3o3o (tepe variant)
sefa( s4x2o3o4s ) |  8 |  3  6  6  1 | 0  3  3  6  2 |  0  0 0  3  2  1 | * * * 16  wx2oq3oo&#q (tepe variant)

starting figure: x4x o3o4x

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