Acronym	pikap (alt.: snittap)
Name	pyritohedral icosahedral antiprism, snub-tetrahedral antiprism, non-uniform alternation of tope
	©
Circumradius	...
Face vector	24, 96, 112, 40
Confer	general polytopal classes: isogonal
External links

No uniform realisation is possible, as can be seen from the vertex figure.

The OBSA pikap refers to the pyritohedral icosahedral antiprism s2s3s4o, while snittap refers to the snub-tetrahedral antiprism s2s3s3s, i.e. the subsymmetrical variant of the former.

Incidence matrix according to Dynkin symbol

s2s3s3s

demi( . . . . ) | 24 |  1  1  1  1  2  2 | 1 1  3  3  3  3 | 1 1 1 1  4
----------------+----+-------------------+-----------------+-----------
      s2s . .   |  2 | 12  *  *  *  *  * | 0 0  2  2  0  0 | 1 1 0 0  2  q
      s 2 s .   |  2 |  * 12  *  *  *  * | 0 0  2  0  2  0 | 1 0 1 0  2  q
      s  2  s   |  2 |  *  * 12  *  *  * | 0 0  0  2  2  0 | 0 1 1 0  2  q
      . s 2 s   |  2 |  *  *  * 12  *  * | 0 0  0  2  0  2 | 0 1 0 1  2  q
sefa( . s3s . ) |  2 |  *  *  *  * 24  * | 1 0  1  0  0  1 | 1 0 0 1  1  h
sefa( . . s3s ) |  2 |  *  *  *  *  * 24 | 0 1  0  0  1  1 | 0 0 1 1  1  h
----------------+----+-------------------+-----------------+-----------
      . s3s .   ♦  3 |  0  0  0  0  3  0 | 8 *  *  *  *  * | 1 0 0 1  0  h-{3}
      . . s3s   ♦  4 |  0  0  0  0  0  4 | * 8  *  *  *  * | 0 0 1 1  0  h-{3}
sefa( s2s3s . ) |  3 |  1  1  0  0  1  0 | * * 24  *  *  * | 1 0 0 0  1  oh&#q
sefa( s2s 2 s ) |  3 |  1  0  1  1  0  0 | * *  * 24  *  * | 0 1 0 0  1  q-{3}
sefa( s 2 s3s ) |  3 |  0  1  1  0  0  1 | * *  *  * 24  * | 0 0 1 0  1  oh&#q
sefa( . s3s3s ) |  3 |  0  0  0  1  1  1 | * *  *  *  * 24 | 0 0 0 1  1  oq&#h
----------------+----+-------------------+-----------------+-----------
      s2s3s .   ♦  6 |  3  3  0  0  6  0 | 2 0  6  0  0  0 | 4 * * *  *
      s2s 2 s   ♦  4 |  2  0  2  2  0  0 | 0 0  0  4  0  0 | * 6 * *  *
      s 2 s3s   ♦  6 |  0  3  3  0  0  6 | 0 2  0  0  6  0 | * * 4 *  *
      . s3s3s   ♦ 12 |  0  0  0  6 12 12 | 4 4  0  0  0 12 | * * * 2  *
sefa( s2s3s3s ) |  4 |  1  1  1  1  1  1 | 0 0  1  1  1  1 | * * * * 24  q-laced oq&#h pyramid 

starting figure: x x3x3x

s2s3s4o

demi( . . . . ) | 24 |  1  2  1  4 |  2  6  3  3 | 2 1 1  4
----------------+----+-------------+-------------+---------
      s2s . .   |  2 | 12  *  *  * |  0  4  0  0 | 2 0 0  2  q
      s 2 s .   |  2 |  * 24  *  * |  0  2  2  0 | 1 1 0  2  q
      . . s4o   |  2 |  *  * 12  * |  0  0  2  2 | 0 1 1  2  q
sefa( . s3s . ) |  2 |  *  *  * 48 |  1  1  0  1 | 1 0 1  1  h
----------------+----+-------------+-------------+---------
      . s3s .   ♦  3 |  0  0  0  3 | 16  *  *  * | 1 0 1  0  h-{3}
sefa( s2s3s . ) |  3 |  1  1  0  1 |  * 48  *  * | 1 0 0  1  oh&#q
sefa( s 2 s4o ) |  3 |  0  2  1  0 |  *  * 24  * | 0 1 0  1  q-{3}
sefa( . s3s4o ) |  3 |  0  0  1  2 |  *  *  * 24 | 0 0 1  1  oq&#h
----------------+----+-------------+-------------+---------
      s2s3s .   ♦  6 |  3  3  0  6 |  2  6  0  0 | 8 * *  *
      s 2 s4o   ♦  4 |  0  4  2  0 |  0  0  4  0 | * 6 *  *
      . s3s4o   ♦ 12 |  0  0  6 24 |  8  0  0 12 | * * 2  *
sefa( s2s3s4o ) |  4 |  1  2  1  2 |  0  2  1  1 | * * * 24  q-laced oq&#h pyramid

starting figure: x x3x4o