Acronym srittip
Name small-rhombated-tesseract prism
Circumradius sqrt(2)+1/2 = 1.914214
Coordinates ((1+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
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x o3x3o4x

. . . . . | 192 |  1   4   2 |   4  2   2   2   4  1 |  2  2  4  1  1  2  2 |  1  2 2 1
----------+-----+------------+-----------------------+----------------------+----------
x . . . . |   2 | 96   *   * |   4  2   0   0   0  0 |  2  2  4  1  0  0  0 |  1  2 2 0
. . x . . |   2 |  * 384   * |   1  0   1   1   1  0 |  1  1  1  0  1  1  1 |  1  1 1 1
. . . . x |   2 |  *   * 192 |   0  1   0   0   2  1 |  0  0  2  1  0  1  2 |  0  1 2 1
----------+-----+------------+-----------------------+----------------------+----------
x . x . . |   4 |  2   2   0 | 192  *   *   *   *  * |  1  1  1  0  0  0  0 |  1  1 1 0
x . . . x |   4 |  2   0   2 |   * 96   *   *   *  * |  0  0  2  1  0  0  0 |  0  1 2 0
. o3x . . |   3 |  0   3   0 |   *  * 128   *   *  * |  1  0  0  0  1  1  0 |  1  1 0 1
. . x3o . |   3 |  0   3   0 |   *  *   * 128   *  * |  0  1  0  0  1  0  1 |  1  0 1 1
. . x . x |   4 |  0   2   2 |   *  *   *   * 192  * |  0  0  1  0  0  1  1 |  0  1 1 1
. . . o4x |   4 |  0   0   4 |   *  *   *   *   * 48 |  0  0  0  1  0  0  2 |  0  0 2 1
----------+-----+------------+-----------------------+----------------------+----------
x o3x . .    6 |  3   6   0 |   3  0   2   0   0  0 | 64  *  *  *  *  *  * |  1  1 0 0
x . x3o .    6 |  3   6   0 |   3  0   0   2   0  0 |  * 64  *  *  *  *  * |  1  0 1 0
x . x . x    8 |  4   4   4 |   2  2   0   0   2  0 |  *  * 96  *  *  *  * |  0  1 1 0
x . . o4x    8 |  4   0   8 |   0  4   0   0   0  2 |  *  *  * 24  *  *  * |  0  0 2 0
. o3x3o .    6 |  0  12   0 |   0  0   4   4   0  0 |  *  *  *  * 32  *  * |  1  0 0 1
. o3x . x    6 |  0   6   3 |   0  0   2   0   3  0 |  *  *  *  *  * 64  * |  0  1 0 1
. . x3o4x   24 |  0  24  24 |   0  0   0   8  12  6 |  *  *  *  *  *  * 16 |  0  0 1 1
----------+-----+------------+-----------------------+----------------------+----------
x o3x3o .   12 |  6  24   0 |  12  0   8   8   0  0 |  4  4  0  0  2  0  0 | 16  * * *
x o3x . x   12 |  6  12   6 |   6  3   4   0   6  0 |  2  0  3  0  0  2  0 |  * 32 * *
x . x3o4x   48 | 24  48  48 |  24 24   0  16  24 12 |  0  8 12  6  0  0  2 |  *  * 8 *
. o3x3o4x   96 |  0 192  96 |   0  0  64  64  96 24 |  0  0  0  0 16 32  8 |  *  * * 2

oo3xx3oo4xx&#x   → height = 1
(srit || srit)

o.3o.3o.4o.    | 96  * |   4  2  1   0  0 |  2  2  4  1   4  2  0  0  0  0 |  1  2 2  2  2  4  1  0  0 0 | 1  1  2 2 0
.o3.o3.o4.o    |  * 96 |   0  0  1   4  2 |  0  0  0  0   4  2  2  2  4  1 |  0  0 0  2  2  4  1  1  2 2 | 0  1  2 2 1
---------------+-------+------------------+--------------------------------+-----------------------------+------------
.. x. .. ..    |  2  0 | 192  *  *   *  * |  1  1  1  0   1  0  0  0  0  0 |  1  1 1  1  1  1  0  0  0 0 | 1  1  1 1 0
.. .. .. x.    |  2  0 |   * 96  *   *  * |  0  0  2  1   0  1  0  0  0  0 |  0  1 2  0  0  2  1  0  0 0 | 1  0  1 2 0
oo3oo3oo4oo&#x |  1  1 |   *  * 96   *  * |  0  0  0  0   4  2  0  0  0  0 |  0  0 0  2  2  4  1  0  0 0 | 0  1  2 2 0
.. .x .. ..    |  0  2 |   *  *  * 192  * |  0  0  0  0   1  0  1  1  1  0 |  0  0 0  1  1  1  0  1  1 1 | 0  1  1 1 1
.. .. .. .x    |  0  2 |   *  *  *   * 96 |  0  0  0  0   0  1  0  0  2  1 |  0  0 0  0  0  2  1  0  1 2 | 0  0  1 2 1
---------------+-------+------------------+--------------------------------+-----------------------------+------------
o.3x. .. ..    |  3  0 |   3  0  0   0  0 | 64  *  *  *   *  *  *  *  *  * |  1  1 0  1  0  0  0  0  0 0 | 1  1  1 0 0
.. x.3o. ..    |  3  0 |   3  0  0   0  0 |  * 64  *  *   *  *  *  *  *  * |  1  0 1  0  1  0  0  0  0 0 | 1  1  0 1 0
.. x. .. x.    |  4  0 |   2  2  0   0  0 |  *  * 96  *   *  *  *  *  *  * |  0  1 1  0  0  1  0  0  0 0 | 1  0  1 1 0
.. .. o.4x.    |  4  0 |   0  4  0   0  0 |  *  *  * 24   *  *  *  *  *  * |  0  0 2  0  0  0  1  0  0 0 | 1  0  0 2 0
.. xx .. ..&#x |  2  2 |   1  0  2   1  0 |  *  *  *  * 192  *  *  *  *  * |  0  0 0  1  1  1  0  0  0 0 | 0  1  1 1 0
.. .. .. xx&#x |  2  2 |   0  1  2   0  1 |  *  *  *  *   * 96  *  *  *  * |  0  0 0  0  0  2  1  0  0 0 | 0  0  1 2 0
.o3.x .. ..    |  0  3 |   0  0  0   3  0 |  *  *  *  *   *  * 64  *  *  * |  0  0 0  1  0  0  0  1  1 0 | 0  1  1 0 1
.. .x3.o ..    |  0  3 |   0  0  0   3  0 |  *  *  *  *   *  *  * 64  *  * |  0  0 0  0  1  0  0  1  0 1 | 0  1  0 1 1
.. .x .. .x    |  0  4 |   0  0  0   2  2 |  *  *  *  *   *  *  *  * 96  * |  0  0 0  0  0  1  0  0  1 1 | 0  0  1 1 1
.. .. .o4.x    |  0  4 |   0  0  0   0  4 |  *  *  *  *   *  *  *  *  * 24 |  0  0 0  0  0  0  1  0  0 2 | 0  0  0 2 1
---------------+-------+------------------+--------------------------------+-----------------------------+------------
o.3x.3o. ..      6  0 |  12  0  0   0  0 |  4  4  0  0   0  0  0  0  0  0 | 16  * *  *  *  *  *  *  * * | 1  1  0 0 0
o.3x. .. x.      6  0 |   6  3  0   0  0 |  2  0  3  0   0  0  0  0  0  0 |  * 32 *  *  *  *  *  *  * * | 1  0  1 0 0
.. x.3o.4x.     24  0 |  24 24  0   0  0 |  0  8 12  6   0  0  0  0  0  0 |  *  * 8  *  *  *  *  *  * * | 1  0  0 1 0
oo3xx .. ..&#x   3  3 |   3  0  3   3  0 |  1  0  0  0   3  0  1  0  0  0 |  *  * * 64  *  *  *  *  * * | 0  1  1 0 0
.. xx3oo ..&#x   3  3 |   3  0  3   3  0 |  0  1  0  0   3  0  0  1  0  0 |  *  * *  * 64  *  *  *  * * | 0  1  0 1 0
.. xx .. xx&#x   4  4 |   2  2  4   2  2 |  0  0  1  0   2  2  0  0  1  0 |  *  * *  *  * 96  *  *  * * | 0  0  1 1 0
.. .. oo4xx&#x   4  4 |   0  4  4   0  4 |  0  0  0  1   0  4  0  0  0  1 |  *  * *  *  *  * 24  *  * * | 0  0  0 2 0
.o3.x3.o ..      0  6 |   0  0  0  12  0 |  0  0  0  0   0  0  4  4  0  0 |  *  * *  *  *  *  * 16  * * | 0  1  0 0 1
.o3.x .. .x      0  6 |   0  0  0   6  3 |  0  0  0  0   0  0  2  0  3  0 |  *  * *  *  *  *  *  * 32 * | 0  0  1 0 1
.. .x3.o4.x      0 24 |   0  0  0  24 24 |  0  0  0  0   0  0  0  8 12  6 |  *  * *  *  *  *  *  *  * 8 | 0  0  0 1 1
---------------+-------+------------------+--------------------------------+-----------------------------+------------
o.3x.3o.4x.     96  0 | 192 96  0   0  0 | 64 64 96 24   0  0  0  0  0  0 | 16 32 8  0  0  0  0  0  0 0 | 1  *  * * *
oo3xx3oo ..&#x   6  6 |  12  0  6  12  0 |  4  4  0  0  12  0  4  4  0  0 |  1  0 0  4  4  0  0  1  0 0 | * 16  * * *
oo3xx .. xx&#x   6  6 |   6  3  6   6  3 |  2  0  3  0   6  3  2  0  3  0 |  0  1 0  2  0  3  0  0  1 0 | *  * 32 * *
.. xx3oo4xx&#x  24 24 |  24 24 24  24 24 |  0  8 12  6  24 24  0  8 12  6 |  0  0 1  0  8 12  6  0  0 1 | *  *  * 8 *
.o3.x3.o3.x      0 96 |   0  0  0 192 96 |  0  0  0  0   0  0 64 64 96 24 |  0  0 0  0  0  0  0 16 32 8 | *  *  * * 1

© 2004-2019
top of page