Acronym	dispap
Name	dyad-square prismantiprismoid, s2s2s4x, edge-alternated sodip
	©
Circumradius	...
Face vector	16, 40, 40, 16
Confer	more general: s-n-s-2-s-2m-x   s-2-s-2-s-2n-x   general polytopal classes: isogonal
External links

This polychoron is obtained by edge alternation of the uniform sodip It cannot be made uniform, it rather is isogonal only.

Incidence matrix according to Dynkin symbol

s2s2s4x

demi( . . . . ) | 16 | 1 1 1 1 1 | 1 1  3 2 2 | 1 1 1 3
----------------+----+-----------+------------+--------
demi( . . . x ) |  2 | 8 * * * * | 1 1  0 1 1 | 0 1 1 2  x
      s2s . .   |  2 | * 8 * * * | 1 0  2 0 0 | 1 0 0 2  q
      s 2 s .   |  2 | * * 8 * * | 0 0  2 2 0 | 1 1 0 2  q
      . s2s .   |  2 | * * * 8 * | 0 0  2 0 2 | 1 0 1 2  q
sefa( . . s4x ) |  2 | * * * * 8 | 0 1  0 1 1 | 0 1 1 1  w
----------------+----+-----------+------------+--------
      s2s 2 x   |  4 | 2 2 0 0 0 | 4 *  * * * | 0 0 0 2  x2q
      . . s4x   |  4 | 2 0 0 0 2 | * 4  * * * | 0 1 1 0  x2w
sefa( s2s2s . ) |  3 | 0 1 1 1 0 | * * 16 * * | 1 0 0 1  q3o
sefa( s 2 s4x ) |  4 | 1 0 2 0 1 | * *  * 8 * | 0 1 0 1  xw&#q
sefa( . s2s4x ) |  4 | 1 0 0 2 1 | * *  * * 8 | 0 0 1 1  xw&#q
----------------+----+-----------+------------+--------
      s2s2s .   |  4 | 0 2 2 2 0 | 0 0  4 0 0 | 4 * * *  q-tet
      s 2 s4x   |  8 | 4 0 4 0 4 | 0 2  0 4 0 | * 2 * *  recta
      . s2s4x   |  8 | 4 0 0 4 4 | 0 2  0 0 4 | * * 2 *  recta
sefa( s2s2s4x ) |  6 | 2 2 2 2 1 | 1 0  2 1 1 | * * * 8  wx2oq&#q, wedge-like trip variant

starting figure: x x x4x

s4o2s4x

demi( . . . . ) | 16 | 1 1  2 1 | 1 1  3  4 | 1 2 3
----------------+----+----------+-----------+------
demi( . . . x ) |  2 | 8 *  * * | 1 1  0  2 | 0 2 2  x
      s4o . .   |  2 | * 8  * * | 1 0  2  0 | 1 0 2  q
      s 2 s .   |  2 | * * 16 * | 0 0  2  2 | 1 1 2  q
sefa( . . s4x ) |  2 | * *  * 8 | 0 1  0  2 | 0 2 1  w
----------------+----+----------+-----------+------
      s4o 2 x   |  4 | 2 2  0 0 | 4 *  *  * | 0 0 2  x2q
      . . s4x   |  4 | 2 0  0 2 | * 4  *  * | 0 2 0  x2w
sefa( s4o2s . ) |  3 | 0 1  2 0 | * * 16  * | 1 0 1  q3o
sefa( s 2 s4x ) |  4 | 1 0  2 1 | * *  * 16 | 0 1 1  xw&#q
----------------+----+----------+-----------+------
      s4o2s .   |  4 | 0 2  4 0 | 0 0  4  0 | 4 * *  q-tet
      s 2 s4x   |  8 | 4 0  4 4 | 0 2  0  4 | * 4 *  recta
sefa( s4o2s4x ) |  6 | 2 2  4 1 | 1 0  2  2 | * * 8  wx2oq&#q, wedge-like trip variant

starting figure: x4o x4x