Acronym sidpithip
Name small-disprismatotesseractihexadecachoron prism,
runcinated-tesseract prism,
small-prismated-tesseract prism,
central segment of scant
Circumradius sqrt[7+2 sqrt(2)]/2 = 1.567516
Coordinates ((1+sqrt(2))/2, 1/2, 1/2, 1/2, 1/2)   & all permutations in all but last coord., all changes of sign
Confer
uniform relative:
scant  
related segmentotera:
squicuffip  
general polytopal classes:
segmentotera  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol

x x3o3o4x

. . . . . | 128 |  1   3   3 |  3  3   3   6  3 |  3  6  3  1  3  3  1 |  1  3  3 1 1
----------+-----+------------+------------------+----------------------+-------------
x . . . . |   2 | 64   *   * |  3  3   0   0  0 |  3  6  3  0  0  0  0 |  1  3  3 1 0
. x . . . |   2 |  * 192   * |  1  0   2   2  0 |  2  2  0  1  2  1  0 |  1  2  1 0 1
. . . . x |   2 |  *   * 192 |  0  1   0   2  2 |  0  2  2  0  1  2  1 |  0  1  2 1 1
----------+-----+------------+------------------+----------------------+-------------
x x . . . |   4 |  2   2   0 | 96  *   *   *  * |  2  2  0  0  0  0  0 |  1  2  1 0 0
x . . . x |   4 |  2   0   2 |  * 96   *   *  * |  0  2  2  0  0  0  0 |  0  1  2 1 0
. x3o . . |   3 |  0   3   0 |  *  * 128   *  * |  1  0  0  1  1  0  0 |  1  1  0 0 1
. x . . x |   4 |  0   2   2 |  *  *   * 192  * |  0  1  0  0  1  1  0 |  0  1  1 0 1
. . . o4x |   4 |  0   0   4 |  *  *   *   * 96 |  0  0  1  0  0  1  1 |  0  0  1 1 1
----------+-----+------------+------------------+----------------------+-------------
x x3o . .    6 |  3   6   0 |  3  0   2   0  0 | 64  *  *  *  *  *  * |  1  1  0 0 0
x x . . x    8 |  4   4   4 |  2  2   0   2  0 |  * 96  *  *  *  *  * |  0  1  1 0 0
x . . o4x    8 |  4   0   8 |  0  4   0   0  2 |  *  * 48  *  *  *  * |  0  0  1 1 0
. x3o3o .    4 |  0   6   0 |  0  0   4   0  0 |  *  *  * 32  *  *  * |  1  0  0 0 1
. x3o . x    6 |  0   6   3 |  0  0   2   3  0 |  *  *  *  * 64  *  * |  0  1  0 0 1
. x . o4x    8 |  0   4   8 |  0  0   0   4  2 |  *  *  *  *  * 48  * |  0  0  1 0 1
. . o3o4x    8 |  0   0  12 |  0  0   0   0  6 |  *  *  *  *  *  * 16 |  0  0  0 1 1
----------+-----+------------+------------------+----------------------+-------------
x x3o3o .    8 |  4  12   0 |  6  0   8   0  0 |  4  0  0  2  0  0  0 | 16  *  * * *
x x3o . x   12 |  6  12   6 |  6  3   4   6  0 |  2  3  0  0  2  0  0 |  * 32  * * *
x x . o4x   16 |  8   8  16 |  4  8   0   8  4 |  0  4  2  0  0  2  0 |  *  * 24 * *
x . o3o4x   16 |  8   0  24 |  0 12   0   0 12 |  0  0  6  0  0  0  2 |  *  *  * 8 *
. x3o3o4x   64 |  0  96  96 |  0  0  64  96 48 |  0  0  0 16 32 24  8 |  *  *  * * 2

snubbed forms: s2x3o3o4s

xo4xx ox4xx xx&#zx   → height = 0
(tegum sum of 2 interchanged ocubes)

o.4o. o.4o. o.     & | 128 |  1  1   2  1   2 |  2  1  2  1  1  2   3   4  2 |  1  2  1  2  1  1  3  3  2  4 | 1 1  1  3 1  2
---------------------+-----+------------------+------------------------------+-------------------------------+---------------
x. .. .. .. ..     & |   2 | 64  *   *  *   * |  2  1  0  0  0  0   2   0  0 |  1  2  0  0  0  1  2  2  0  0 | 1 0  1  2 1  0
.. x. .. .. ..     & |   2 |  * 64   *  *   * |  0  0  2  1  0  0   0   2  0 |  0  0  1  2  0  0  1  0  2  2 | 0 1  0  1 1  2
.. .. .. x. ..     & |   2 |  *  * 128  *   * |  1  0  1  0  1  1   0   1  0 |  1  1  1  1  1  0  1  0  1  1 | 1 1  0  1 1  1
.. .. .. .. x.     & |   2 |  *  *   * 64   * |  0  1  0  1  0  2   0   0  2 |  0  2  0  2  1  0  0  3  0  4 | 1 1  1  3 0  2
oo4oo oo4oo oo&#x    |   2 |  *  *   *  * 128 |  0  0  0  0  0  0   2   2  1 |  0  0  0  0  0  1  2  2  1  2 | 0 0  1  2 1  1
---------------------+-----+------------------+------------------------------+-------------------------------+---------------
x. .. .. x. ..     & |   4 |  2  0   2  0   0 | 64  *  *  *  *  *   *   *  * |  1  1  0  0  0  0  1  0  0  0 | 1 0  0  1 1  0
x. .. .. .. x.     & |   4 |  2  0   0  2   0 |  * 32  *  *  *  *   *   *  * |  0  2  0  0  0  0  0  2  0  0 | 1 0  1  2 0  0
.. x. .. x. ..     & |   4 |  0  2   2  0   0 |  *  * 64  *  *  *   *   *  * |  0  0  1  1  0  0  0  0  1  0 | 0 1  0  0 1  1
.. x. .. .. x.     & |   4 |  0  2   0  2   0 |  *  *  * 32  *  *   *   *  * |  0  0  0  2  0  0  0  0  0  2 | 0 1  0  1 0  2
.. .. o.4x. ..     & |   4 |  0  0   4  0   0 |  *  *  *  * 32  *   *   *  * |  1  0  1  0  1  0  0  0  0  0 | 1 1  0  0 1  0
.. .. .. x. x.     & |   4 |  0  0   2  2   0 |  *  *  *  *  * 64   *   *  * |  0  1  0  1  1  0  0  0  0  1 | 1 1  0  1 0  1
xo .. .. .. ..&#x  & |   3 |  1  0   0  0   2 |  *  *  *  *  *  * 128   *  * |  0  0  0  0  0  1  1  1  0  0 | 0 0  1  1 1  0
.. xx .. .. ..&#x  & |   4 |  0  1   1  0   2 |  *  *  *  *  *  *   * 128  * |  0  0  0  0  0  0  1  0  1  1 | 0 0  0  1 1  1
.. .. .. .. xx&#x    |   4 |  0  0   0  2   2 |  *  *  *  *  *  *   *   * 64 |  0  0  0  0  0  0  0  2  0  2 | 0 0  1  2 0  1
---------------------+-----+------------------+------------------------------+-------------------------------+---------------
x. .. o.4x. ..     &    8 |  4  0   8  0   0 |  4  0  0  0  2  0   0   0  0 | 16  *  *  *  *  *  *  *  *  * | 1 0  0  0 1  0
x. .. .. x. x.     &    8 |  4  0   4  4   0 |  2  2  0  0  0  2   0   0  0 |  * 32  *  *  *  *  *  *  *  * | 1 0  0  1 0  0
.. x. o.4x. ..     &    8 |  0  4   8  0   0 |  0  0  4  0  2  0   0   0  0 |  *  * 16  *  *  *  *  *  *  * | 0 1  0  0 1  0
.. x. .. x. x.     &    8 |  0  4   4  4   0 |  0  0  2  2  0  2   0   0  0 |  *  *  * 32  *  *  *  *  *  * | 0 1  0  0 0  1
.. .. o.4x. x.     &    8 |  0  0   8  4   0 |  0  0  0  0  2  4   0   0  0 |  *  *  *  * 16  *  *  *  *  * | 1 1  0  0 0  0
xo .. ox .. ..&#x       4 |  2  0   0  0   4 |  0  0  0  0  0  0   4   0  0 |  *  *  *  *  * 32  *  *  *  * | 0 0  1  0 1  0
xo .. .. xx ..&#x  &    6 |  2  1   2  0   4 |  1  0  0  0  0  0   2   2  0 |  *  *  *  *  *  * 64  *  *  * | 0 0  0  1 1  0
xo .. .. .. xx&#x  &    6 |  2  0   0  3   4 |  0  1  0  0  0  0   2   0  2 |  *  *  *  *  *  *  * 64  *  * | 0 0  1  1 0  0
.. xx .. xx ..&#x       8 |  0  4   4  0   4 |  0  0  2  0  0  0   0   4  0 |  *  *  *  *  *  *  *  * 32  * | 0 0  0  0 1  1
.. xx .. .. xx&#x  &    8 |  0  2   2  4   4 |  0  0  0  1  0  1   0   2  2 |  *  *  *  *  *  *  *  *  * 64 | 0 0  0  1 0  1
---------------------+-----+------------------+------------------------------+-------------------------------+---------------
x. .. o.4x. x.     &   16 |  8  0  16  8   0 |  8  4  0  0  4  8   0   0  0 |  2  4  0  0  2  0  0  0  0  0 | 8 *  *  * *  *
.. x. o.4x. x.     &   16 |  0  8  16  8   0 |  0  0  8  4  4  8   0   0  0 |  0  0  2  4  2  0  0  0  0  0 | * 8  *  * *  *
xo .. ox .. xx&#x       8 |  4  0   0  4   8 |  0  2  0  0  0  0   8   0  4 |  0  0  0  0  0  2  0  4  0  0 | * * 16  * *  *
xo .. .. xx xx&#x  &   12 |  4  2   4  6   8 |  2  2  0  1  0  2   4   4  4 |  0  1  0  0  0  0  2  2  0  2 | * *  * 32 *  *
xo4xx ox4xx ..&#zx     64 | 32 32  64  0  64 | 32  0 32  0 16  0  64  64  0 |  8  0  8  0  0 16 32  0 16  0 | * *  *  * 2  *
.. xx .. xx xx&#x      16 |  0  8   8  8   8 |  0  0  4  4  0  4   0   8  4 |  0  0  0  2  0  0  0  0  2  4 | * *  *  * * 16

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