Acronym prittip
Name prismatorhombated-tesseract prism,
prismatotruncated-hexadecachoron prism,
runcitruncated-hexadecachoron prism,
central segment of cappin
Circumradius sqrt[15+6 sqrt(2)]/2 = 2.423081
Coordinates ((1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2, 1/2)   & all permutations in all but last coord., all changes of sign
Confer
uniform relative:
cappin  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x x3x3o4x

. . . . . | 384 |   1   1   2   2 |  1   2   2   2   2   1   2  1 |  2  2  1  2  1  1  2  1  1 |  1  2  1 1 1
----------+-----+-----------------+-------------------------------+----------------------------+-------------
x . . . . |   2 | 192   *   *   * |  1   2   2   0   0   0   0  0 |  2  2  1  2  1  0  0  0  0 |  1  2  1 1 0
. x . . . |   2 |   * 192   *   * |  1   0   0   2   2   0   0  0 |  2  2  0  0  0  1  2  1  0 |  1  2  1 0 1
. . x . . |   2 |   *   * 384   * |  0   1   0   1   0   1   1  0 |  1  0  1  1  0  1  1  0  1 |  1  1  0 1 1
. . . . x |   2 |   *   *   * 384 |  0   0   1   0   1   0   1  1 |  0  1  0  1  1  0  1  1  1 |  0  1  1 1 1
----------+-----+-----------------+-------------------------------+----------------------------+-------------
x x . . . |   4 |   2   2   0   0 | 96   *   *   *   *   *   *  * |  2  2  0  0  0  0  0  0  0 |  1  2  1 0 0
x . x . . |   4 |   2   0   2   0 |  * 192   *   *   *   *   *  * |  1  0  1  1  0  0  0  0  0 |  1  1  0 1 0
x . . . x |   4 |   2   0   0   2 |  *   * 192   *   *   *   *  * |  0  1  0  1  1  0  0  0  0 |  0  1  1 1 0
. x3x . . |   6 |   0   3   3   0 |  *   *   * 128   *   *   *  * |  1  0  0  0  0  1  1  0  0 |  1  1  0 0 1
. x . . x |   4 |   0   2   0   2 |  *   *   *   * 192   *   *  * |  0  1  0  0  0  0  1  1  0 |  0  1  1 0 1
. . x3o . |   3 |   0   0   3   0 |  *   *   *   *   * 128   *  * |  0  0  1  0  0  1  0  0  1 |  1  0  0 1 1
. . x . x |   4 |   0   0   2   2 |  *   *   *   *   *   * 192  * |  0  0  0  1  0  0  1  0  1 |  0  1  0 1 1
. . . o4x |   4 |   0   0   0   4 |  *   *   *   *   *   *   * 96 |  0  0  0  0  1  0  0  1  1 |  0  0  1 1 1
----------+-----+-----------------+-------------------------------+----------------------------+-------------
x x3x . .   12 |   6   6   6   0 |  3   3   0   2   0   0   0  0 | 64  *  *  *  *  *  *  *  * |  1  1  0 0 0
x x . . x    8 |   4   4   0   4 |  2   0   2   0   2   0   0  0 |  * 96  *  *  *  *  *  *  * |  0  1  1 0 0
x . x3o .    6 |   3   0   6   0 |  0   3   0   0   0   2   0  0 |  *  * 64  *  *  *  *  *  * |  1  0  0 1 0
x . x . x    8 |   4   0   4   4 |  0   2   2   0   0   0   2  0 |  *  *  * 96  *  *  *  *  * |  0  1  0 1 0
x . . o4x    8 |   4   0   0   8 |  0   0   4   0   0   0   0  2 |  *  *  *  * 48  *  *  *  * |  0  0  1 1 0
. x3x3o .   12 |   0   6  12   0 |  0   0   0   4   0   4   0  0 |  *  *  *  *  * 32  *  *  * |  1  0  0 0 1
. x3x . x   12 |   0   6   6   6 |  0   0   0   2   3   0   3  0 |  *  *  *  *  *  * 64  *  * |  0  1  0 0 1
. x . o4x    8 |   0   4   0   8 |  0   0   0   0   4   0   0  2 |  *  *  *  *  *  *  * 48  * |  0  0  1 0 1
. . x3o4x   24 |   0   0  24  24 |  0   0   0   0   0   8  12  6 |  *  *  *  *  *  *  *  * 16 |  0  0  0 1 1
----------+-----+-----------------+-------------------------------+----------------------------+-------------
x x3x3o .   24 |  12  12  24   0 |  6  12   0   8   0   8   0  0 |  4  0  4  0  0  2  0  0  0 | 16  *  * * *
x x3x . x   24 |  12  12  12  12 |  6   6   6   4   6   0   6  0 |  2  3  0  3  0  0  2  0  0 |  * 32  * * *
x x . o4x   16 |   8   8   0  16 |  4   0   8   0   8   0   0  4 |  0  4  0  0  2  0  0  2  0 |  *  * 24 * *
x . x3o4x   48 |  24   0  48  48 |  0  24  24   0   0  16  24 12 |  0  0  8 12  6  0  0  0  2 |  *  *  * 8 *
. x3x3o4x  192 |   0  96 192 192 |  0   0   0  64  96  64  96 48 |  0  0  0  0  0 16 32 24  8 |  *  *  * * 2

xx3xx3oo4xx&#x   → height = 1
(prit || prit)

o.3o.3o.4o.    | 192   * |  1   2   2   1  0   0   0 |  2  2  1  2  1  1   2   2  0  0  0  0  0 |  1  2  1 1  2  2  1  2  1  0  0  0 0 | 1  1  2  1 1 0
.o3.o3.o4.o    |   * 192 |  0   0   0   1  1   2   2 |  0  0  0  0  0  1   2   2  2  2  1  2  1 |  0  0  0 0  2  2  1  2  1  1  2  1 1 | 0  1  2  1 1 1
---------------+---------+---------------------------+------------------------------------------+--------------------------------------+---------------
x. .. .. ..    |   2   0 | 96   *   *   *  *   *   * |  2  2  0  0  0  1   0   0  0  0  0  0  0 |  1  2  1 0  2  2  0  0  0  0  0  0 0 | 1  1  2  1 0 0
.. x. .. ..    |   2   0 |  * 192   *   *  *   *   * |  1  0  1  1  0  0   1   0  0  0  0  0  0 |  1  1  0 1  1  0  1  1  0  0  0  0 0 | 1  1  1  0 1 0
.. .. .. x.    |   2   0 |  *   * 192   *  *   *   * |  0  1  0  1  1  0   0   1  0  0  0  0  0 |  0  1  1 1  0  1  0  1  1  0  0  0 0 | 1  0  1  1 1 0
oo3oo3oo4oo&#x |   1   1 |  *   *   * 192  *   *   * |  0  0  0  0  0  1   2   2  0  0  0  0  0 |  0  0  0 0  2  2  1  2  1  0  0  0 0 | 0  1  2  1 1 0
.x .. .. ..    |   0   2 |  *   *   *   * 96   *   * |  0  0  0  0  0  1   0   0  2  2  0  0  0 |  0  0  0 0  2  2  0  0  0  1  2  1 0 | 0  1  2  1 0 1
.. .x .. ..    |   0   2 |  *   *   *   *  * 192   * |  0  0  0  0  0  0   1   0  1  0  1  1  0 |  0  0  0 0  1  0  1  1  0  1  1  0 1 | 0  1  1  0 1 1
.. .. .. .x    |   0   2 |  *   *   *   *  *   * 192 |  0  0  0  0  0  0   0   1  0  1  0  1  1 |  0  0  0 0  0  1  0  1  1  0  1  1 1 | 0  0  1  1 1 1
---------------+---------+---------------------------+------------------------------------------+--------------------------------------+---------------
x.3x. .. ..    |   6   0 |  3   3   0   0  0   0   0 | 64  *  *  *  *  *   *   *  *  *  *  *  * |  1  1  0 0  1  0  0  0  0  0  0  0 0 | 1  1  1  0 0 0
x. .. .. x.    |   4   0 |  2   0   2   0  0   0   0 |  * 96  *  *  *  *   *   *  *  *  *  *  * |  0  1  1 0  0  1  0  0  0  0  0  0 0 | 1  0  1  1 0 0
.. x.3o. ..    |   3   0 |  0   3   0   0  0   0   0 |  *  * 64  *  *  *   *   *  *  *  *  *  * |  1  0  0 1  0  0  1  0  0  0  0  0 0 | 1  1  0  0 1 0
.. x. .. x.    |   4   0 |  0   2   2   0  0   0   0 |  *  *  * 96  *  *   *   *  *  *  *  *  * |  0  1  0 1  0  0  0  1  0  0  0  0 0 | 1  0  1  0 1 0
.. .. o.4x.    |   4   0 |  0   0   4   0  0   0   0 |  *  *  *  * 48  *   *   *  *  *  *  *  * |  0  0  1 1  0  0  0  0  1  0  0  0 0 | 1  0  0  1 1 0
xx .. .. ..&#x |   2   2 |  1   0   0   2  1   0   0 |  *  *  *  *  * 96   *   *  *  *  *  *  * |  0  0  0 0  2  2  0  0  0  0  0  0 0 | 0  1  2  1 0 0
.. xx .. ..&#x |   2   2 |  0   1   0   2  0   1   0 |  *  *  *  *  *  * 192   *  *  *  *  *  * |  0  0  0 0  1  0  1  1  0  0  0  0 0 | 0  1  1  0 1 0
.. .. .. xx&#x |   2   2 |  0   0   1   2  0   0   1 |  *  *  *  *  *  *   * 192  *  *  *  *  * |  0  0  0 0  0  1  0  1  1  0  0  0 0 | 0  0  1  1 1 0
.x3.x .. ..    |   0   6 |  0   0   0   0  3   3   0 |  *  *  *  *  *  *   *   * 64  *  *  *  * |  0  0  0 0  1  0  0  0  0  1  1  0 0 | 0  1  1  0 0 1
.x .. .. .x    |   0   4 |  0   0   0   0  2   0   2 |  *  *  *  *  *  *   *   *  * 96  *  *  * |  0  0  0 0  0  1  0  0  0  0  1  1 0 | 0  0  1  1 0 1
.. .x3.o ..    |   0   3 |  0   0   0   0  0   3   0 |  *  *  *  *  *  *   *   *  *  * 64  *  * |  0  0  0 0  0  0  1  0  0  1  0  0 1 | 0  1  0  0 1 1
.. .x .. .x    |   0   4 |  0   0   0   0  0   2   2 |  *  *  *  *  *  *   *   *  *  *  * 96  * |  0  0  0 0  0  0  0  1  0  0  1  0 1 | 0  0  1  0 1 1
.. .. .o4.x    |   0   4 |  0   0   0   0  0   0   4 |  *  *  *  *  *  *   *   *  *  *  *  * 48 |  0  0  0 0  0  0  0  0  1  0  0  1 1 | 0  0  0  1 1 1
---------------+---------+---------------------------+------------------------------------------+--------------------------------------+---------------
x.3x.3o. ..      12   0 |  6  12   0   0  0   0   0 |  4  0  4  0  0  0   0   0  0  0  0  0  0 | 16  *  * *  *  *  *  *  *  *  *  * * | 1  1  0  0 0 0
x.3x. .. x.      12   0 |  6   6   6   0  0   0   0 |  2  3  0  3  0  0   0   0  0  0  0  0  0 |  * 32  * *  *  *  *  *  *  *  *  * * | 1  0  1  0 0 0
x. .. o.4x.       8   0 |  4   0   8   0  0   0   0 |  0  4  0  0  2  0   0   0  0  0  0  0  0 |  *  * 24 *  *  *  *  *  *  *  *  * * | 1  0  0  1 0 0
.. x.3o.4x.      24   0 |  0  24  24   0  0   0   0 |  0  0  8 12  6  0   0   0  0  0  0  0  0 |  *  *  * 8  *  *  *  *  *  *  *  * * | 1  0  0  0 1 0
xx3xx .. ..&#x    6   6 |  3   3   0   6  3   3   0 |  1  0  0  0  0  3   3   0  1  0  0  0  0 |  *  *  * * 64  *  *  *  *  *  *  * * | 0  1  1  0 0 0
xx .. .. xx&#x    4   4 |  2   0   2   4  2   0   2 |  0  1  0  0  0  2   0   2  0  1  0  0  0 |  *  *  * *  * 96  *  *  *  *  *  * * | 0  0  1  1 0 0
.. xx3oo ..&#x    3   3 |  0   3   0   3  0   3   0 |  0  0  1  0  0  0   3   0  0  0  1  0  0 |  *  *  * *  *  * 64  *  *  *  *  * * | 0  1  0  0 1 0
.. xx .. xx&#x    4   4 |  0   2   2   4  0   2   2 |  0  0  0  1  0  0   2   2  0  0  0  1  0 |  *  *  * *  *  *  * 96  *  *  *  * * | 0  0  1  0 1 0
.. .. oo4xx&#x    4   4 |  0   0   4   4  0   0   4 |  0  0  0  0  1  0   0   4  0  0  0  0  1 |  *  *  * *  *  *  *  * 48  *  *  * * | 0  0  0  1 1 0
.x3.x3.o ..       0  12 |  0   0   0   0  6  12   0 |  0  0  0  0  0  0   0   0  4  0  4  0  0 |  *  *  * *  *  *  *  *  * 16  *  * * | 0  1  0  0 0 1
.x3.x .. .x       0  12 |  0   0   0   0  6   6   6 |  0  0  0  0  0  0   0   0  2  3  0  3  0 |  *  *  * *  *  *  *  *  *  * 32  * * | 0  0  1  0 0 1
.x .. .o4.x       0   8 |  0   0   0   0  4   0   8 |  0  0  0  0  0  0   0   0  0  4  0  0  2 |  *  *  * *  *  *  *  *  *  *  * 24 * | 0  0  0  1 0 1
.. .x3.o4.x       0  24 |  0   0   0   0  0  24  24 |  0  0  0  0  0  0   0   0  0  0  8 12  6 |  *  *  * *  *  *  *  *  *  *  *  * 8 | 0  0  0  0 1 1
---------------+---------+---------------------------+------------------------------------------+--------------------------------------+---------------
x.3x.3o.4x.     192   0 | 96 192 192   0  0   0   0 | 64 96 64 96 48  0   0   0  0  0  0  0  0 | 16 32 24 8  0  0  0  0  0  0  0  0 0 | 1  *  *  * * *
xx3xx3oo ..&#x   12  12 |  6  12   0  12  6  12   0 |  4  0  4  0  0  6  12   0  4  0  4  0  0 |  1  0  0 0  4  0  4  0  0  1  0  0 0 | * 16  *  * * *
xx3xx .. xx&#x   12  12 |  6   6   6  12  6   6   6 |  2  3  0  3  0  6   6   6  2  3  0  3  0 |  0  1  0 0  2  3  0  3  0  0  1  0 0 | *  * 32  * * *
xx .. oo4xx&#x    8   8 |  4   0   8   8  4   0   8 |  0  4  0  0  2  4   0   8  0  4  0  0  2 |  0  0  1 0  0  4  0  0  2  0  0  1 0 | *  *  * 24 * *
.. xx3oo4xx&#x   24  24 |  0  24  24  24  0  24  24 |  0  0  8 12  6  0  24  24  0  0  8 12  6 |  0  0  0 1  0  0  8 12  6  0  0  0 1 | *  *  *  * 8 *
.x3.x3.o4.x       0 192 |  0   0   0   0 96 192 192 |  0  0  0  0  0  0   0   0 64 96 64 96 48 |  0  0  0 0  0  0  0  0  0 16 32 24 8 | *  *  *  * * 1

© 2004-2019
top of page