Acronym stut phiddixa
Name small tritrigonal prismatohecatonicosidishexacosachoron alterprism
Circumradius sqrt([63+25 sqrt(5)]/8) = 3.855219
Confer
general polytopal classes:
segmentotera   scaliform  

Incidence matrix according to Dynkin symbol

xx3oo3xo5/2ox3*b &#x   → height = sqrt[(sqrt(5)-1)/2] = 0.786151

o.3o.3o.5/2o.3*b     | 2400    * |    3    6    3    0    0 |    3    6    3    3    6    6    3    0    0    0    0 |   3   1   3   1    3    6    3    3    1    3   0   0   0   0 | 1   3   1   3   1 0
.o3.o3.o5/2.o3*b     |    * 2400 |    0    0    3    3    6 |    0    0    0    0    6    3    6    3    6    3    3 |   0   0   0   0    3    3    6    1    3    3   1   3   3   1 | 0   1   3   3   1 1
---------------------+-----------+--------------------------+--------------------------------------------------------+---------------------------------------------------------------+--------------------
x. .. ..   ..        |    2    0 | 3600    *    *    *    * |    2    2    0    0    2    0    0    0    0    0    0 |   2   1   1   0    2    2    1    0    0    0   0   0   0   0 | 1   2   1   1   0 0
.. .. x.   ..        |    2    0 |    * 7200    *    *    * |    0    1    1    1    0    1    0    0    0    0    0 |   1   0   1   1    0    1    0    1    0    1   0   0   0   0 | 1   1   0   1   1 0
oo3oo3oo5/2oo3*b &#x |    1    1 |    *    * 7200    *    * |    0    0    0    0    2    2    2    0    0    0    0 |   0   0   0   0    1    2    2    1    1    2   0   0   0   0 | 0   1   1   2   1 0
.x .. ..   ..        |    0    2 |    *    *    * 3600    * |    0    0    0    0    2    0    0    2    2    0    0 |   0   0   0   0    2    1    2    0    0    0   1   2   1   0 | 0   1   2   1   0 1
.. .. ..   .x        |    0    2 |    *    *    *    * 7200 |    0    0    0    0    0    0    1    0    1    1    1 |   0   0   0   0    0    0    1    0    1    1   0   1   1   1 | 0   0   1   1   1 1
---------------------+-----------+--------------------------+--------------------------------------------------------+---------------------------------------------------------------+--------------------
x.3o. ..   ..        |    3    0 |    3    0    0    0    0 | 2400    *    *    *    *    *    *    *    *    *    * |   1   1   0   0    1    0    0    0    0    0   0   0   0   0 | 1   1   1   0   0 0
x. .. x.   ..        |    4    0 |    2    2    0    0    0 |    * 3600    *    *    *    *    *    *    *    *    * |   1   0   1   0    0    1    0    0    0    0   0   0   0   0 | 1   1   0   1   0 0
.. o.3x.   ..        |    3    0 |    0    3    0    0    0 |    *    * 2400    *    *    *    *    *    *    *    * |   1   0   0   1    0    0    0    1    0    0   0   0   0   0 | 1   1   0   0   1 0
.. .. x.5/2o.        |    5    0 |    0    5    0    0    0 |    *    *    * 1440    *    *    *    *    *    *    * |   0   0   1   1    0    0    0    0    0    1   0   0   0   0 | 1   0   0   1   1 0
xx .. ..   ..    &#x |    2    2 |    1    0    2    1    0 |    *    *    *    * 7200    *    *    *    *    *    * |   0   0   0   0    1    1    1    0    0    0   0   0   0   0 | 0   1   1   1   0 0
.. .. xo   ..    &#x |    2    1 |    0    1    2    0    0 |    *    *    *    *    * 7200    *    *    *    *    * |   0   0   0   0    0    1    0    1    0    1   0   0   0   0 | 0   1   0   1   1 0
.. .. ..   ox    &#x |    1    2 |    0    0    2    0    1 |    *    *    *    *    *    * 7200    *    *    *    * |   0   0   0   0    0    0    1    0    1    1   0   0   0   0 | 0   0   1   1   1 0
.x3.o ..   ..        |    0    3 |    0    0    0    3    0 |    *    *    *    *    *    *    * 2400    *    *    * |   0   0   0   0    1    0    0    0    0    0   1   1   0   0 | 0   1   1   0   0 1
.x .. ..   .x        |    0    4 |    0    0    0    2    2 |    *    *    *    *    *    *    *    * 3600    *    * |   0   0   0   0    0    0    1    0    0    0   0   1   1   0 | 0   0   1   1   0 1
.. .o ..   .x3*b     |    0    3 |    0    0    0    0    3 |    *    *    *    *    *    *    *    *    * 2400    * |   0   0   0   0    0    0    0    0    1    0   0   1   0   1 | 0   0   1   0   1 1
.. .. .o5/2.x        |    0    5 |    0    0    0    0    5 |    *    *    *    *    *    *    *    *    *    * 1440 |   0   0   0   0    0    0    0    0    0    1   0   0   1   1 | 0   0   0   1   1 1
---------------------+-----------+--------------------------+--------------------------------------------------------+---------------------------------------------------------------+--------------------
x.3o.3x.   ..           12    0 |   12   12    0    0    0 |    4    6    4    0    0    0    0    0    0    0    0 | 600   *   *   *    *    *    *    *    *    *   *   *   *   * | 1   1   0   0   0 0
x.3o. ..   o.3*b         4    0 |    6    0    0    0    0 |    4    0    0    0    0    0    0    0    0    0    0 |   * 600   *   *    *    *    *    *    *    *   *   *   *   * | 1   0   1   0   0 0
x. .. x.5/2o.           10    0 |    5   10    0    0    0 |    0    5    0    2    0    0    0    0    0    0    0 |   *   * 720   *    *    *    *    *    *    *   *   *   *   * | 1   0   0   1   0 0
.. o.3x.5/2o.3*b        20    0 |    0   60    0    0    0 |    0    0   20   12    0    0    0    0    0    0    0 |   *   *   * 120    *    *    *    *    *    *   *   *   *   * | 1   0   0   0   1 0
xx3oo ..   ..    &#x     3    3 |    3    0    3    3    0 |    1    0    0    0    3    0    0    1    0    0    0 |   *   *   *   * 2400    *    *    *    *    *   *   *   *   * | 0   1   1   0   0 0
xx .. xo   ..    &#x     4    2 |    2    2    4    1    0 |    0    1    0    0    2    2    0    0    0    0    0 |   *   *   *   *    * 3600    *    *    *    *   *   *   *   * | 0   1   0   1   0 0
xx .. ..   ox    &#x     2    4 |    1    0    4    2    2 |    0    0    0    0    2    0    2    0    1    0    0 |   *   *   *   *    *    * 3600    *    *    *   *   *   *   * | 0   0   1   1   0 0
.. oo3xo   ..    &#x     3    1 |    0    3    3    0    0 |    0    0    1    0    0    3    0    0    0    0    0 |   *   *   *   *    *    *    * 2400    *    *   *   *   *   * | 0   1   0   0   1 0
.. oo ..   ox3*b &#x     1    3 |    0    0    3    0    3 |    0    0    0    0    0    0    3    0    0    1    0 |   *   *   *   *    *    *    *    * 2400    *   *   *   *   * | 0   0   1   0   1 0
.. .. xo5/2ox    &#x     5    5 |    0    5   10    0    5 |    0    0    0    1    0    5    5    0    0    0    1 |   *   *   *   *    *    *    *    *    * 1440   *   *   *   * | 0   0   0   1   1 0
.x3.o3.o   ..            0    4 |    0    0    0    6    0 |    0    0    0    0    0    0    0    4    0    0    0 |   *   *   *   *    *    *    *    *    *    * 600   *   *   * | 0   1   0   0   0 1
.x3.o ..   .x3*b         0   12 |    0    0    0   12   12 |    0    0    0    0    0    0    0    4    6    4    0 |   *   *   *   *    *    *    *    *    *    *   * 600   *   * | 0   0   1   0   0 1
.x .. .o5/2.x            0   10 |    0    0    0    5   10 |    0    0    0    0    0    0    0    0    5    0    2 |   *   *   *   *    *    *    *    *    *    *   *   * 720   * | 0   0   0   1   0 1
.. .o3.o5/2.x3*b         0   20 |    0    0    0    0   60 |    0    0    0    0    0    0    0    0    0   20   12 |   *   *   *   *    *    *    *    *    *    *   *   *   * 120 | 0   0   0   0   1 1
---------------------+-----------+--------------------------+--------------------------------------------------------+---------------------------------------------------------------+--------------------
x.3o.3x.5/2o.3*b      2400    0 | 3600 7200    0    0    0 | 2400 3600 2400 1440    0    0    0    0    0    0    0 | 600 600 720 120    0    0    0    0    0    0   0   0   0   0 | 1   *   *   *   * *
xx3oo3xo   ..    &#x    12    4 |   12   12   12    6    0 |    4    6    4    0   12   12    0    4    0    0    0 |   1   0   0   0    4    6    0    4    0    0   1   0   0   0 | * 600   *   *   * *
xx3oo ..   ox3*b &#x     4   12 |    6    0   12   12   12 |    4    0    0    0   12    0   12    4    6    4    0 |   0   1   0   0    4    0    6    0    4    0   0   1   0   0 | *   * 600   *   * *
xx .. xo5/2ox    &#x    10   10 |    5   10   20    5   10 |    0    5    0    2   10   10   10    0    5    0    2 |   0   0   1   0    0    5    5    0    0    2   0   0   1   0 | *   *   * 720   * *
.. oo3xo5/2ox3*b &#x    20   20 |    0   60   60    0   60 |    0    0   20   12    0   60   60    0    0   20   12 |   0   0   0   1    0    0    0   20   20   12   0   0   0   1 | *   *   *   * 120 *
.x3.o3.o5/2.x3*b         0 2400 |    0    0    0 3600 7200 |    0    0    0    0    0    0    0 2400 3600 2400 1440 |   0   0   0   0    0    0    0    0    0    0 600 600 720 120 | *   *   *   *   * 1

or
o.3o.3o.5/2o.3*b     & | 4800 |    3     6    3 |    3    6    3    3    6     9 |    3    1    3   1    3    9    4    3 | 1    4   3   1
-----------------------+------+-----------------+--------------------------------+----------------------------------------+---------------
x. .. ..   ..        & |    2 | 7200     *    * |    2    2    0    0    2     0 |    2    1    1   0    2    3    0    0 | 1    3   1   0
.. .. x.   ..        & |    2 |    * 14400    * |    0    1    1    1    0     1 |    1    0    1   1    0    1    1    1 | 1    1   1   1
oo3oo3oo5/2oo3*b &#x   |    2 |    *     * 7200 |    0    0    0    0    2     4 |    0    0    0   0    1    4    2    2 | 0    2   2   1
-----------------------+------+-----------------+--------------------------------+----------------------------------------+---------------
x.3o. ..   ..        & |    3 |    3     0    0 | 4800    *    *    *    *     * |    1    1    0   0    1    0    0    0 | 1    2   0   0
x. .. x.   ..        & |    4 |    2     2    0 |    * 7200    *    *    *     * |    1    0    1   0    0    1    0    0 | 1    1   1   0
.. o.3x.   ..        & |    3 |    0     3    0 |    *    * 4800    *    *     * |    1    0    0   1    0    0    1    0 | 1    1   0   1
.. .. x.5/2o.        & |    5 |    0     5    0 |    *    *    * 2880    *     * |    0    0    1   1    0    0    0    1 | 1    0   1   1
xx .. ..   ..    &#x   |    4 |    2     0    2 |    *    *    *    * 7200     * |    0    0    0   0    1    2    0    0 | 0    2   1   0
.. .. xo   ..    &#x & |    3 |    0     1    2 |    *    *    *    *    * 14400 |    0    0    0   0    0    1    1    1 | 0    1   1   1
-----------------------+------+-----------------+--------------------------------+----------------------------------------+---------------
x.3o.3x.   ..        &    12 |   12    12    0 |    4    6    4    0    0     0 | 1200    *    *   *    *    *    *    * | 1    1   0   0
x.3o. ..   o.3*b     &     4 |    6     0    0 |    4    0    0    0    0     0 |    * 1200    *   *    *    *    *    * | 1    1   0   0
x. .. x.5/2o.        &    10 |    5    10    0 |    0    5    0    2    0     0 |    *    * 1440   *    *    *    *    * | 1    0   1   0
.. o.3x.5/2o.3*b     &    20 |    0    60    0 |    0    0   20   12    0     0 |    *    *    * 240    *    *    *    * | 1    0   0   1
xx3oo ..   ..    &#x       6 |    6     0    3 |    2    0    0    0    3     0 |    *    *    *   * 2400    *    *    * | 0    2   0   0
xx .. xo   ..    &#x &     6 |    3     2    4 |    0    1    0    0    2     2 |    *    *    *   *    * 7200    *    * | 0    1   1   0
.. oo3xo   ..    &#x &     4 |    0     3    3 |    0    0    1    0    0     3 |    *    *    *   *    *    * 4800    * | 0    1   0   1
.. .. xo5/2ox    &#x      10 |    0    10   10 |    0    0    0    2    0    10 |    *    *    *   *    *    *    * 1440 | 0    0   1   1
-----------------------+------+-----------------+--------------------------------+----------------------------------------+---------------
x.3o.3x.5/2o.3*b     &  2400 | 3600  7200    0 | 2400 3600 2400 1440    0     0 |  600  600  720 120    0    0    0    0 | 2    *   *   *
xx3oo3xo   ..    &#x &    16 |   18    12   12 |    8    6    4    0   12    12 |    1    1    0   0    4    6    4    0 | * 1200   *   *
xx .. xo5/2ox    &#x      20 |   10    20   20 |    0   10    0    4   10    20 |    0    0    2   0    0   10    0    2 | *    * 720   *
.. oo3xo5/2ox3*b &#x      40 |    0   120   60 |    0    0   40   24    0   120 |    0    0    0   2    0    0   40   12 | *    *   * 120

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