Acronym snippit (old: spitac, alt.: snahin)
Name snub prismatotriacontaditeron
(snub demipenteract),
alternation of great prismated triacontaditeron
Circumradius ...
Confer
general polytopal classes:
isogonal  
External
links
polytopewiki

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

Snippit is meant to be used for all variations under the full symmetry, i.e. for s3s3s3s4o. Snahin is meant to be used for all subsymmetric variations, i.e. for s3s3s *b3s3s.


Incidence matrix according to Dynkin symbol

s3s3s3s4o

demi( . . . . . ) | 960 |   1   2   2   1   2   2    4 |   1   1   2   3    6    6   3    6   3   3 |  1   2   2   1   2   1  1    8   4   4   4 |  2  1  1  1   5
------------------+-----+------------------------------+--------------------------------------------+--------------------------------------------+----------------
      s 2 s . .   |   2 | 480   *   *   *   *   *    * |   0   0   0   2    0    4   0    0   0   0 |  1   0   2   0   0   0  0    4   0   2   0 |  2  0  1  0   2  q
      s 2 . s .   |   2 |   * 960   *   *   *   *    * |   0   0   0   0    2    2   2    0   0   0 |  0   1   1   1   0   0  0    2   2   2   0 |  1  1  1  0   2  q
      . s 2 s .   |   2 |   *   * 960   *   *   *    * |   0   0   0   0    2    0   0    2   2   0 |  0   1   0   0   1   1  0    2   2   0   2 |  1  1  0  1   2  q
      . . . s4o   |   2 |   *   *   * 480   *   *    * |   0   0   0   0    0    0   2    0   2   2 |  0   0   0   1   0   1  1    0   2   2   2 |  0  1  1  1   2  q
sefa( s3s . . . ) |   2 |   *   *   *   * 960   *    * |   1   0   0   1    2    0   0    0   0   0 |  1   2   0   0   0   0  0    2   1   0   0 |  2  1  0  0   1  h
sefa( . s3s . . ) |   2 |   *   *   *   *   * 960    * |   0   1   0   1    0    0   0    2   0   0 |  1   0   0   0   2   0  0    2   0   0   1 |  2  0  0  1   1  h
sefa( . . s3s . ) |   2 |   *   *   *   *   *   * 1920 |   0   0   1   0    0    1   0    1   0   1 |  0   0   1   0   1   0  1    1   0   1   1 |  1  0  1  1   1  h
------------------+-----+------------------------------+--------------------------------------------+--------------------------------------------+----------------
      s3s . . .   |   3 |   0   0   0   0   3   0    0 | 320   *   *   *    *    *   *    *   *   * |  1   2   0   0   0   0  0    0   0   0   0 |  2  1  0  0   0  h3o
      . s3s . .   |   3 |   0   0   0   0   0   3    0 |   * 320   *   *    *    *   *    *   *   * |  1   0   0   0   2   0  0    0   0   0   0 |  2  0  0  1   0  h3o
      . . s3s .   |   3 |   0   0   0   0   0   0    3 |   *   * 640   *    *    *   *    *   *   * |  0   0   1   0   1   0  1    0   0   0   0 |  1  0  1  1   0  h3o
sefa( s3s3s . . ) |   3 |   1   0   0   0   1   1    0 |   *   *   * 960    *    *   *    *   *   * |  1   0   0   0   0   0  0    2   0   0   0 |  2  0  0  0   1  oq&#h
sefa( s3s 2 s . ) |   3 |   0   1   1   0   1   0    0 |   *   *   *   * 1920    *   *    *   *   * |  0   1   0   0   0   0  0    1   1   0   0 |  1  1  0  0   1  oh&#q
sefa( s 2 s3s . ) |   3 |   1   1   0   0   0   0    1 |   *   *   *   *    * 1920   *    *   *   * |  0   0   1   0   0   0  0    1   0   1   0 |  1  0  1  0   1  oh&#q
sefa( s 2 . s4o ) |   3 |   0   2   0   1   0   0    0 |   *   *   *   *    *    * 960    *   *   * |  0   0   0   1   0   0  0    0   1   1   0 |  0  1  1  0   1  q3o
sefa( . s3s3s . ) |   3 |   0   0   1   0   0   1    1 |   *   *   *   *    *    *   * 1920   *   * |  0   0   0   0   1   0  0    1   0   0   1 |  1  0  0  1   1  oq&#h
sefa( . s 2 s4o ) |   3 |   0   0   2   1   0   0    0 |   *   *   *   *    *    *   *    * 960   * |  0   0   0   0   0   1  0    0   1   0   1 |  0  1  0  1   1  q3o
sefa( . . s3s4o ) |   3 |   0   0   0   1   0   0    2 |   *   *   *   *    *    *   *    *   * 960 |  0   0   0   0   0   0  1    0   0   1   1 |  0  0  1  1   1  oq&#h
------------------+-----+------------------------------+--------------------------------------------+--------------------------------------------+----------------
      s3s3s . .   |  12 |   6   0   0   0  12  12    0 |   4   4   0  12    0    0   0    0   0   0 | 80   *   *   *   *   *  *    *   *   *   * |  2  0  0  0   0  pyritohedral ike variant
      s3s 2 s .   |   6 |   0   3   3   0   6   0    0 |   2   0   0   0    6    0   0    0   0   0 |  * 320   *   *   *   *  *    *   *   *   * |  1  1  0  0   0  triangular antiprism
      s 2 s3s .   |   6 |   3   3   0   0   0   0    6 |   0   0   2   0    0    6   0    0   0   0 |  *   * 320   *   *   *  *    *   *   *   * |  1  0  1  0   0  triangular antiprism
      s 2 . s4o   |   4 |   0   4   0   2   0   0    0 |   0   0   0   0    0    0   4    0   0   0 |  *   *   * 240   *   *  *    *   *   *   * |  0  1  1  0   0  q-tetrahedra
      . s3s3s .   |  12 |   0   0   6   0   0  12   12 |   0   4   4   0    0    0   0   12   0   0 |  *   *   *   * 160   *  *    *   *   *   * |  1  0  0  1   0  pyritohedral ike variant
      . s 2 s4o   |   4 |   0   0   4   2   0   0    0 |   0   0   0   0    0    0   0    0   4   0 |  *   *   *   *   * 240  *    *   *   *   * |  0  1  0  1   0  q-tetrahedra
      . . s3s4o   |  12 |   0   0   0   6   0   0   24 |   0   0   8   0    0    0   0    0   0  12 |  *   *   *   *   *   * 80    *   *   *   * |  0  0  1  1   0  pyritohedral ike variant
sefa( s3s3s3s . ) |   4 |   1   1   1   0   1   1    1 |   0   0   0   1    1    1   0    1   0   0 |  *   *   *   *   *   *  * 1920   *   *   * |  1  0  0  0   1  chiral digonal antifrustrum (disphenoid)
sefa( s3s 2 s4o ) |   4 |   0   2   2   1   1   0    0 |   0   0   0   0    2    0   1    0   1   0 |  *   *   *   *   *   *  *    * 960   *   * |  0  1  0  0   1  symmetric digonal antifrustrum (disphenoid)
sefa( s 2 s3s4o ) |   4 |   1   2   0   1   0   0    2 |   0   0   0   0    0    2   1    0   0   1 |  *   *   *   *   *   *  *    *   * 960   * |  0  0  1  0   1  pyramid above isot
sefa( . s3s3s4o ) |   4 |   0   0   2   1   0   1    2 |   0   0   0   0    0    0   0    2   1   1 |  *   *   *   *   *   *  *    *   *   * 960 |  0  0  0  1   1  trigonal pyramid
------------------+-----+------------------------------+--------------------------------------------+--------------------------------------------+----------------
      s3s3s3s .   |  60 |  30  30  30   0  60  60   60 |  20  20  20  60   60   60   0   60   0   0 |  5  10  10   0   5   0  0   60   0   0   0 | 32  *  *  *   *  snub decachoron
      s3s 2 s4o   |  12 |   0  12  12   6  12   0    0 |   4   0   0   0   24    0  12    0  12   0 |  0   4   0   3   0   3  0    0  12   0   0 |  * 80  *  *   *  2-3-duoantiprism
      s 2 s3s4o   |  24 |  12  24   0  12   0   0   48 |   0   0  16   0    0   48  24    0   0  24 |  0   0   8   6   0   0  2    0   0  24   0 |  *  * 40  *   *  pyritohedral ike antiprism
      . s3s3s4o   |  96 |   0   0  96  48   0  96  192 |   0  32  64   0    0    0   0  192  96  96 |  0   0   0   0  16  24  8    0   0   0  96 |  *  *  * 10   *  pyritohedral sadi variant
sefa( s3s3s3s4o ) |   5 |   1   2   2   1   1   1    2 |   0   0   0   1    2    2   1    2   1   1 |  0   0   0   0   0   0  0    2   1   1   1 |  *  *  *  * 960  pentachoron variant

starting figure: x3x3x3x4o

s3s3s *b3s3s

demi( . . .    . . ) | 960 |   1   1   1   1   1   1   2   2   2   2 |   1   1   1   1   3   3   3   3   3   3   3   3   3   3 |  1  1   1   1   1   1  1   1  1   1   4   4   4   4   4 |  1  1  1  1  1   5
---------------------+-----+-----------------------------------------+---------------------------------------------------------+---------------------------------------------------------+-------------------
      s 2 s    . .   |   2 | 480   *   *   *   *   *   *   *   *   * |   0   0   0   0   2   0   0   2   2   0   0   0   0   0 |  1  0   0   1   1   0  0   0  0   0   2   2   0   2   0 |  1  1  0  1  0   2
      s . 2    s .   |   2 |   * 480   *   *   *   *   *   *   *   * |   0   0   0   0   0   2   0   2   0   2   0   0   0   0 |  0  1   0   1   0   1  0   0  0   0   2   0   2   2   0 |  1  0  1  1  0   2
      s . 2    . s   |   2 |   *   * 480   *   *   *   *   *   *   * |   0   0   0   0   0   0   2   0   2   2   0   0   0   0 |  0  0   1   0   1   1  0   0  0   0   0   2   2   2   0 |  0  1  1  1  0   2
      . s .    2 s   |   2 |   *   *   * 480   *   *   *   *   *   * |   0   0   0   0   0   0   2   0   0   0   0   2   2   0 |  0  0   1   0   0   0  0   1  1   0   0   2   2   0   2 |  0  1  1  0  1   2
      . . s 2  s .   |   2 |   *   *   *   * 480   *   *   *   *   * |   0   0   0   0   0   0   0   2   0   0   2   0   0   2 |  0  0   0   1   0   0  1   0  0   1   2   0   0   2   2 |  1  0  0  1  1   2
      . . s 2  . s   |   2 |   *   *   *   *   * 480   *   *   *   * |   0   0   0   0   0   0   0   0   2   0   0   2   0   2 |  0  0   0   0   1   0  0   1  0   1   0   2   0   2   2 |  0  1  0  1  1   2
sefa( s3s .    . . ) |   2 |   *   *   *   *   *   * 960   *   *   * |   1   0   0   0   1   1   1   0   0   0   0   0   0   0 |  1  1   1   0   0   0  0   0  0   0   1   1   1   0   0 |  1  1  1  0  0   1
sefa( . s3s    . . ) |   2 |   *   *   *   *   *   *   * 960   *   * |   0   1   0   0   1   0   0   0   0   0   1   1   0   0 |  1  0   0   0   0   0  1   1  0   0   1   1   0   0   1 |  1  1  0  0  1   1
sefa( . s . *b3s . ) |   2 |   *   *   *   *   *   *   *   * 960   * |   0   0   1   0   0   1   0   0   0   0   1   0   1   0 |  0  1   0   0   0   0  1   0  1   0   1   0   1   0   1 |  1  0  1  0  1   1
sefa( . . .    s3s ) |   2 |   *   *   *   *   *   *   *   *   * 960 |   0   0   0   1   0   0   0   0   0   1   0   0   1   1 |  0  0   0   0   0   1  0   0  1   1   0   0   1   1   1 |  0  0  1  1  1   1
---------------------+-----+-----------------------------------------+---------------------------------------------------------+---------------------------------------------------------+-------------------
      s3s .    . .   |   3 |   0   0   0   0   0   0   3   0   0   0 | 320   *   *   *   *   *   *   *   *   *   *   *   *   * |  1  1   1   0   0   0  0   0  0   0   0   0   0   0   0 |  1  1  1  0  0   0  h3o
      . s3s    . .   |   3 |   0   0   0   0   0   0   0   3   0   0 |   * 320   *   *   *   *   *   *   *   *   *   *   *   * |  1  0   0   0   0   0  1   1  0   0   0   0   0   0   0 |  1  1  0  0  1   0  h3o
      . s . *b3s .   |   3 |   0   0   0   0   0   0   0   0   3   0 |   *   * 320   *   *   *   *   *   *   *   *   *   *   * |  0  1   0   0   0   0  1   0  1   0   0   0   0   0   0 |  1  0  1  0  1   0  h3o
      . . .    s3s   |   3 |   0   0   0   0   0   0   0   0   0   3 |   *   *   * 320   *   *   *   *   *   *   *   *   *   * |  0  0   0   0   0   1  0   0  1   1   0   0   0   0   0 |  0  0  1  1  1   0  h3o
sefa( s3s3s    . . ) |   3 |   1   0   0   0   0   0   1   1   0   0 |   *   *   *   * 960   *   *   *   *   *   *   *   *   * |  1  0   0   0   0   0  0   0  0   0   1   1   0   0   0 |  1  1  0  0  0   1  oq&#h
sefa( s3s . *b3s . ) |   3 |   0   1   0   0   0   0   1   0   1   0 |   *   *   *   *   * 960   *   *   *   *   *   *   *   * |  0  1   0   0   0   0  0   0  0   0   1   0   1   0   0 |  1  0  1  0  0   1  oq&#h
sefa( s3s 2    . s ) |   3 |   0   0   1   1   0   0   1   0   0   0 |   *   *   *   *   *   * 960   *   *   *   *   *   *   * |  0  0   1   0   0   0  0   0  0   0   0   1   1   0   0 |  0  1  1  0  0   1  oh&#q
sefa( s 2 s 2  s . ) |   3 |   1   1   0   0   1   0   0   0   0   0 |   *   *   *   *   *   *   * 960   *   *   *   *   *   * |  0  0   0   1   0   0  0   0  0   0   1   0   0   1   0 |  1  0  0  1  0   1  q3o
sefa( s 2 s 2  . s ) |   3 |   1   0   1   0   0   1   0   0   0   0 |   *   *   *   *   *   *   *   * 960   *   *   *   *   * |  0  0   0   0   1   0  0   0  0   0   0   1   0   1   0 |  0  1  0  1  0   1  q3o
sefa( s . 2    s3s ) |   3 |   0   1   1   0   0   0   0   0   0   1 |   *   *   *   *   *   *   *   *   * 960   *   *   *   * |  0  0   0   0   0   1  0   0  0   0   0   0   1   1   0 |  0  0  1  1  0   1  oh&#q
sefa( . s3s *b3s . ) |   3 |   0   0   0   0   1   0   0   1   1   0 |   *   *   *   *   *   *   *   *   *   * 960   *   *   * |  0  0   0   0   0   0  1   0  0   0   1   0   0   0   1 |  1  0  0  0  1   1  oq&#h
sefa( . s3s 2  . s ) |   3 |   0   0   0   1   0   1   0   1   0   0 |   *   *   *   *   *   *   *   *   *   *   * 960   *   * |  0  0   0   0   0   0  0   1  0   0   0   1   0   0   1 |  0  1  0  0  1   1  oh&#q
sefa( . s . *b3s3s ) |   3 |   0   0   0   1   0   0   0   0   1   1 |   *   *   *   *   *   *   *   *   *   *   *   * 960   * |  0  0   0   0   0   0  0   0  1   0   0   0   1   0   1 |  0  0  1  0  1   1  oq&#h
sefa( . . s 2  s3s ) |   3 |   0   0   0   0   1   1   0   0   0   1 |   *   *   *   *   *   *   *   *   *   *   *   *   * 960 |  0  0   0   0   0   0  0   0  0   1   0   0   0   1   1 |  0  0  0  1  1   1  oh&#q
---------------------+-----+-----------------------------------------+---------------------------------------------------------+---------------------------------------------------------+-------------------
      s3s3s    . .   |  12 |   6   0   0   0   0   0  12  12   0   0 |   4   4   0   0  12   0   0   0   0   0   0   0   0   0 | 80  *   *   *   *   *  *   *  *   *   *   *   *   *   * |  1  1  0  0  0   0  pyritohedral ike variant
      s3s . *b3s .   |  12 |   0   6   0   0   0   0  12   0  12   0 |   4   0   4   0   0  12   0   0   0   0   0   0   0   0 |  * 80   *   *   *   *  *   *  *   *   *   *   *   *   * |  1  0  1  0  0   0  pyritohedral ike variant
      s3s 2    . s   |   6 |   0   0   3   3   0   0   6   0   0   0 |   2   0   0   0   0   0   6   0   0   0   0   0   0   0 |  *  * 160   *   *   *  *   *  *   *   *   *   *   *   * |  0  1  1  0  0   0  triangular antiprism
      s 2 s 2  s .   |   4 |   2   2   0   0   2   0   0   0   0   0 |   0   0   0   0   0   0   0   4   0   0   0   0   0   0 |  *  *   * 240   *   *  *   *  *   *   *   *   *   *   * |  1  0  0  1  0   0  q-tetrahedra
      s 2 s 2  . s   |   4 |   2   0   2   0   0   2   0   0   0   0 |   0   0   0   0   0   0   0   0   4   0   0   0   0   0 |  *  *   *   * 240   *  *   *  *   *   *   *   *   *   * |  0  1  0  1  0   0  q-tetrahedra
      s . 2    s3s   |   6 |   0   3   3   0   0   0   0   0   0   6 |   0   0   0   2   0   0   0   0   0   6   0   0   0   0 |  *  *   *   *   * 160  *   *  *   *   *   *   *   *   * |  0  0  1  1  0   0  triangular antiprism
      . s3s *b3s .   |  12 |   0   0   0   0   6   0   0  12  12   0 |   0   4   4   0   0   0   0   0   0   0  12   0   0   0 |  *  *   *   *   *   * 80   *  *   *   *   *   *   *   * |  1  0  0  0  1   0  pyritohedral ike variant
      . s3s 2  . s   |   6 |   0   0   0   3   0   3   0   6   0   0 |   0   2   0   0   0   0   0   0   0   0   0   6   0   0 |  *  *   *   *   *   *  * 160  *   *   *   *   *   *   * |  0  1  0  0  1   0  triangular antiprism
      . s . *b3s3s   |  12 |   0   0   0   6   0   0   0   0  12  12 |   0   0   4   4   0   0   0   0   0   0   0   0  12   0 |  *  *   *   *   *   *  *   * 80   *   *   *   *   *   * |  0  0  1  0  1   0  pyritohedral ike variant
      . . s 2  s3s   |   6 |   0   0   0   0   3   3   0   0   0   6 |   0   0   0   2   0   0   0   0   0   0   0   0   0   6 |  *  *   *   *   *   *  *   *  * 160   *   *   *   *   * |  0  0  0  1  1   0  triangular antiprism
sefa( s3s3s *c3s . ) |   4 |   1   1   0   0   1   0   1   1   1   0 |   0   0   0   0   1   1   0   1   0   0   1   0   0   0 |  *  *   *   *   *   *  *   *  *   * 960   *   *   *   * |  1  0  0  0  0   1  trigonal pyramid
sefa( s3s3s    2 s ) |   4 |   1   0   1   1   0   1   1   1   0   0 |   0   0   0   0   1   0   1   0   1   0   0   1   0   0 |  *  *   *   *   *   *  *   *  *   *   * 960   *   *   * |  0  1  0  0  0   1  pyramid above isot
sefa( s3s . *c3s3s ) |   4 |   0   1   1   1   0   0   1   0   1   1 |   0   0   0   0   0   1   1   0   0   1   0   0   1   0 |  *  *   *   *   *   *  *   *  *   *   *   * 960   *   * |  0  0  1  0  0   1  chiral digonal antifrustrum (disphenoid)
sefa( s 2 s 2  s3s ) |   4 |   1   1   1   0   1   1   0   0   0   1 |   0   0   0   0   0   0   0   1   1   1   0   0   0   1 |  *  *   *   *   *   *  *   *  *   *   *   *   * 960   * |  0  0  0  1  0   1  symmetric digonal antifrustrum (disphenoid)
sefa( . s3s *c3s3s ) |   4 |   0   0   0   1   1   1   0   1   1   1 |   0   0   0   0   0   0   0   0   0   0   1   1   1   1 |  *  *   *   *   *   *  *   *  *   *   *   *   *   * 960 |  0  0  0  0  1   1  chiral digonal antifrustrum (disphenoid)
---------------------+-----+-----------------------------------------+---------------------------------------------------------+---------------------------------------------------------+-------------------
      s3s3s *c3s .   |  96 |  48  48   0   0  48   0  96  96  96   0 |  32  32  32   0  96  96   0  96   0   0  96   0   0   0 |  8  8   0  24   0   0  8   0  0   0  96   0   0   0   0 | 10  *  *  *  *   *  pyritohedral sadi variant
      s3s3s    2 s   |  24 |  12   0  12  12   0  12  24  24   0   0 |   8   8   0   0  24   0  24   0  24   0   0  24   0   0 |  2  0   4   0   6   0  0   4  0   0   0  24   0   0   0 |  * 40  *  *  *   *  pyritohedral ike antiprism
      s3s . *c3s3s   |  60 |   0  30  30  30   0   0  60   0  60  60 |  20   0  20  20   0  60  60   0   0  60   0   0  60   0 |  0  5  10   0   0  10  0   0  5   0   0   0  60   0   0 |  *  * 16  *  *   *  snub decachoron
      s 2 s 2  s3s   |  12 |   6   6   6   0   6   6   0   0   0  12 |   0   0   0   4   0   0   0  12  12  12   0   0   0  12 |  0  0   0   3   3   2  0   0  0   2   0   0   0  12   0 |  *  *  * 80  *   *  2-3-duoantiprism
      . s3s *c3s3s   |  60 |   0   0   0  30  30  30   0  60  60  60 |   0  20  20  20   0   0   0   0   0   0  60  60  60  60 |  0  0   0   0   0   0  5  10  5  10   0   0   0   0  60 |  *  *  *  * 16   *  snub decachoron
sefa( s3s3s *b3s3s ) |   5 |   1   1   1   1   1   1   1   1   1   1 |   0   0   0   0   1   1   1   1   1   1   1   1   1   1 |  0  0   0   0   0   0  0   0  0   0   1   1   1   1   1 |  *  *  *  *  * 960  pentachoron variant

starting figure: x3x3x *b3x3x

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