Acronym srahip (old: srahipe)
Name small-rhombated-hecatonicosachoron prism
Circumradius sqrt[93+40 sqrt(5)]/2 = 6.753568
Dihedral angles
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x o3x3o5x

. . . . . | 7200 |    1     4    2 |    4    2    2    2    4    1 |    2    2    4   1    1    2   2 |   1    2   2 1
----------+------+-----------------+-------------------------------+----------------------------------+---------------
x . . . . |    2 | 3600     *    * |    4    2    0    0    0    0 |    2    2    4   1    0    0   0 |   1    2   2 0
. . x . . |    2 |    * 14400    * |    1    0    1    1    1    0 |    1    1    1   0    1    1   1 |   1    1   1 1
. . . . x |    2 |    *     * 7200 |    0    1    0    0    2    1 |    0    0    2   1    0    1   2 |   0    1   2 1
----------+------+-----------------+-------------------------------+----------------------------------+---------------
x . x . . |    4 |    2     2    0 | 7200    *    *    *    *    * |    1    1    1   0    0    0   0 |   1    1   1 0
x . . . x |    4 |    2     0    2 |    * 3600    *    *    *    * |    0    0    2   1    0    0   0 |   0    1   2 0
. o3x . . |    3 |    0     3    0 |    *    * 4800    *    *    * |    1    0    0   0    1    1   0 |   1    1   0 1
. . x3o . |    3 |    0     3    0 |    *    *    * 4800    *    * |    0    1    0   0    1    0   1 |   1    0   1 1
. . x . x |    4 |    0     2    2 |    *    *    *    * 7200    * |    0    0    1   0    0    1   1 |   0    1   1 1
. . . o5x |    5 |    0     0    5 |    *    *    *    *    * 1440 |    0    0    0   1    0    0   2 |   0    0   2 1
----------+------+-----------------+-------------------------------+----------------------------------+---------------
x o3x . .     6 |    3     6    0 |    3    0    2    0    0    0 | 2400    *    *   *    *    *   * |   1    1   0 0
x . x3o .     6 |    3     6    0 |    3    0    0    2    0    0 |    * 2400    *   *    *    *   * |   1    0   1 0
x . x . x     8 |    4     4    4 |    2    2    0    0    2    0 |    *    * 3600   *    *    *   * |   0    1   1 0
x . . o5x    10 |    5     0   10 |    0    5    0    0    0    2 |    *    *    * 720    *    *   * |   0    0   2 0
. o3x3o .     6 |    0    12    0 |    0    0    4    4    0    0 |    *    *    *   * 1200    *   * |   1    0   0 1
. o3x . x     6 |    0     6    3 |    0    0    2    0    3    0 |    *    *    *   *    * 2400   * |   0    1   0 1
. . x3o5x    60 |    0    60   60 |    0    0    0   20   30   12 |    *    *    *   *    *    * 240 |   0    0   1 1
----------+------+-----------------+-------------------------------+----------------------------------+---------------
x o3x3o .    12 |    6    24    0 |   12    0    8    8    0    0 |    4    4    0   0    2    0   0 | 600    *   * *
x o3x . x    12 |    6    12    6 |    6    3    4    0    6    0 |    2    0    3   0    0    2   0 |   * 1200   * *
x . x3o5x   120 |   60   120  120 |   60   60    0   40   60   24 |    0   20   30  12    0    0   2 |   *    * 120 *
. o3x3o5x  3600 |    0  7200 3600 |    0    0 2400 2400 3600  720 |    0    0    0   0  600 1200 120 |   *    *   * 2

oo3xx3oo5xx&#x   → height = 1
(srahi || srahi)

o.3o.3o.5o.    | 3600    * |    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.o5.o    |    * 3600 |    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 | 7200    *    *    *    * |    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 |    * 3600    *    *    * |    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
oo3oo3oo5oo&#x |    1    1 |    *    * 3600    *    * |    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 |    *    *    * 7200    * |    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 |    *    *    *    * 3600 |    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 | 2400    *    *   *    *    *    *    *    *   * |   1    1   0    1    0    0   0   0    0   0 | 1   1    1   0 0
.. x.3o. ..    |    3    0 |    3    0    0    0    0 |    * 2400    *   *    *    *    *    *    *   * |   1    0   1    0    1    0   0   0    0   0 | 1   1    0   1 0
.. x. .. x.    |    4    0 |    2    2    0    0    0 |    *    * 3600   *    *    *    *    *    *   * |   0    1   1    0    0    1   0   0    0   0 | 1   0    1   1 0
.. .. o.5x.    |    5    0 |    0    5    0    0    0 |    *    *    * 720    *    *    *    *    *   * |   0    0   2    0    0    0   1   0    0   0 | 1   0    0   2 0
.. xx .. ..&#x |    2    2 |    1    0    2    1    0 |    *    *    *   * 7200    *    *    *    *   * |   0    0   0    1    1    1   0   0    0   0 | 0   1    1   1 0
.. .. .. xx&#x |    2    2 |    0    1    2    0    1 |    *    *    *   *    * 3600    *    *    *   * |   0    0   0    0    0    2   1   0    0   0 | 0   0    1   2 0
.o3.x .. ..    |    0    3 |    0    0    0    3    0 |    *    *    *   *    *    * 2400    *    *   * |   0    0   0    1    0    0   0   1    1   0 | 0   1    1   0 1
.. .x3.o ..    |    0    3 |    0    0    0    3    0 |    *    *    *   *    *    *    * 2400    *   * |   0    0   0    0    1    0   0   1    0   1 | 0   1    0   1 1
.. .x .. .x    |    0    4 |    0    0    0    2    2 |    *    *    *   *    *    *    *    * 3600   * |   0    0   0    0    0    1   0   0    1   1 | 0   0    1   1 1
.. .. .o5.x    |    0    5 |    0    0    0    0    5 |    *    *    *   *    *    *    *    *    * 720 |   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 | 600    *   *    *    *    *   *   *    *   * | 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 |   * 1200   *    *    *    *   *   *    *   * | 1   0    1   0 0
.. x.3o.5x.       60    0 |   60   60    0    0    0 |    0   20   30  12    0    0    0    0    0   0 |   *    * 120    *    *    *   *   *    *   * | 1   0    0   1 0
oo3xx .. ..&#x     3    3 |    3    0    3    3    0 |    1    0    0   0    3    0    1    0    0   0 |   *    *   * 2400    *    *   *   *    *   * | 0   1    1   0 0
.. xx3oo ..&#x     3    3 |    3    0    3    3    0 |    0    1    0   0    3    0    0    1    0   0 |   *    *   *    * 2400    *   *   *    *   * | 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 |   *    *   *    *    * 3600   *   *    *   * | 0   0    1   1 0
.. .. oo5xx&#x     5    5 |    0    5    5    0    5 |    0    0    0   1    0    5    0    0    0   1 |   *    *   *    *    *    * 720   *    *   * | 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 |   *    *   *    *    *    *   * 600    *   * | 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 |   *    *   *    *    *    *   *   * 1200   * | 0   0    1   0 1
.. .x3.o5.x        0   60 |    0    0    0   60   60 |    0    0    0   0    0    0    0   20   30  12 |   *    *   *    *    *    *   *   *    * 120 | 0   0    0   1 1
---------------+-----------+--------------------------+-------------------------------------------------+----------------------------------------------+-----------------
o.3x.3o.5x.     3600    0 | 7200 3600    0    0    0 | 2400 2400 3600 720    0    0    0    0    0   0 | 600 1200 120    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 | * 600    *   * *
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 | *   * 1200   * *
.. xx3oo5xx&#x    60   60 |   60   60   60   60   60 |    0   20   30  12   60   60    0   20   30  12 |   0    0   1    0   20   30  12   0    0   1 | *   *    * 120 *
.o3.x3.o5.x        0 3600 |    0    0    0 7200 3600 |    0    0    0   0    0    0 2400 2400 3600 720 |   0    0   0    0    0    0   0 600 1200 120 | *   *    *   * 1

© 2004-2019
top of page