Acronym cydispan
Name cubically cyclodiminished small-prismated-penteract
Circumradius sqrt(2)+1/2 = 1.914214
Lace city
in approx. ASCII-art
.   s     s   .
               
s   t     t   s
               
               
s   t     t   s
               
.   s     s   .


where:
s = x3o4x (sirco)
t = o3x4x (tic)
Face vector 288, 1200, 1752, 1020, 182
Confer
uniform relative:
span   osirco   squatic  

This polyteron is obtained from span within its C2 × C3 subsymmetry, then becoming wxx4oxo oxo3oox4xxx&#zx, by removing the first component thereof, i.e. by removing 4 cubes . . o3o4x within cyclical positions w4o . . .; these are represented in the above lace city by slight dots.


Incidence matrix according to Dynkin symbol

xo4xx xo3ox4xx&#zx   → height = 0
(tegum sum of osirco and squatic)

o.4o. o.3o.4o.     | 192  * |  1  1   2   2   2  0  0  0 |  2  2  2  2  1  2  1   2   2   2   1   2  0  0  0  0 |  1  2  1  1  2  1 1  2  1  2  2  1  2  1  2  0  0  0 | 1 1 1  1  2  1  2 0
.o4.o .o3.o4.o     |   * 96 |  0  0   0   0   4  2  2  1 |  0  0  0  0  0  0  0   2   4   2   4   4  1  4  2  1 |  0  0  0  0  0  0 0  1  2  2  2  4  4  2  2  2  1  2 | 0 0 2  1  1  2  2 1
-------------------+--------+----------------------------+------------------------------------------------------+------------------------------------------------------+--------------------
x. .. .. .. ..     |   2  0 | 96  *   *   *   *  *  *  * |  2  2  0  0  0  0  0   2   0   0   0   0  0  0  0  0 |  1  2  1  0  0  0 0  2  1  2  0  0  0  0  0  0  0  0 | 1 0 1  1  2  0  0 0
.. x. .. .. ..     |   2  0 |  * 96   *   *   *  *  *  * |  0  0  2  2  0  0  0   0   2   0   0   0  0  0  0  0 |  0  0  0  1  2  1 0  0  0  0  2  1  2  0  0  0  0  0 | 0 1 1  0  0  1  2 0
.. .. x. .. ..     |   2  0 |  *  * 192   *   *  *  *  * |  1  0  1  0  1  1  0   0   0   1   0   0  0  0  0  0 |  1  1  0  1  1  0 1  1  0  0  1  0  0  1  1  0  0  0 | 1 1 0  1  1  1  1 0
.. .. .. .. x.     |   2  0 |  *  *   * 192   *  *  *  * |  0  1  0  1  0  1  1   0   0   0   0   1  0  0  0  0 |  0  1  1  0  1  1 1  0  0  1  0  0  1  0  1  0  0  0 | 1 1 1  0  1  0  1 0
oo4oo oo3oo4oo&#x  |   1  1 |  *  *   *   * 384  *  *  * |  0  0  0  0  0  0  0   1   1   1   1   1  0  0  0  0 |  0  0  0  0  0  0 0  1  1  1  1  1  1  1  1  0  0  0 | 0 0 1  1  1  1  1 0
.. .x .. .. ..     |   0  2 |  *  *   *   *   * 96  *  * |  0  0  0  0  0  0  0   0   2   0   0   0  1  2  1  0 |  0  0  0  0  0  0 0  0  0  0  1  2  2  0  0  2  1  1 | 0 0 2  0  0  1  1 1
.. .. .. .x ..     |   0  2 |  *  *   *   *   *  * 96  * |  0  0  0  0  0  0  0   0   0   0   2   0  0  2  0  1 |  0  0  0  0  0  0 0  0  1  0  0  2  0  2  0  1  0  2 | 0 0 1  1  0  2  0 1
.. .. .. .. .x     |   0  2 |  *  *   *   *   *  *  * 48 |  0  0  0  0  0  0  0   0   0   0   0   4  0  0  2  0 |  0  0  0  0  0  0 0  0  0  2  0  0  4  0  2  0  1  0 | 0 0 2  0  1  0  2 0
-------------------+--------+----------------------------+------------------------------------------------------+------------------------------------------------------+--------------------
x. .. x. .. ..     |   4  0 |  2  0   2   0   0  0  0  0 | 96  *  *  *  *  *  *   *   *   *   *   *  *  *  *  * |  1  1  0  0  0  0 0  1  0  0  0  0  0  0  0  0  0  0 | 1 0 0  1  1  0  0 0
x. .. .. .. x.     |   4  0 |  2  0   0   2   0  0  0  0 |  * 96  *  *  *  *  *   *   *   *   *   *  *  *  *  * |  0  1  1  0  0  0 0  0  0  1  0  0  0  0  0  0  0  0 | 1 0 1  0  1  0  0 0
.. x. x. .. ..     |   4  0 |  0  2   2   0   0  0  0  0 |  *  * 96  *  *  *  *   *   *   *   *   *  *  *  *  * |  0  0  0  1  1  0 0  0  0  0  1  0  0  0  0  0  0  0 | 0 1 0  0  0  1  1 0
.. x. .. .. x.     |   4  0 |  0  2   0   2   0  0  0  0 |  *  *  * 96  *  *  *   *   *   *   *   *  *  *  *  * |  0  0  0  0  1  1 0  0  0  0  0  0  1  0  0  0  0  0 | 0 1 1  0  0  0  1 0
.. .. x.3o. ..     |   3  0 |  0  0   3   0   0  0  0  0 |  *  *  *  * 64  *  *   *   *   *   *   *  *  *  *  * |  1  0  0  1  0  0 1  0  0  0  0  0  0  1  0  0  0  0 | 1 1 0  1  0  1  0 0
.. .. x. .. x.     |   4  0 |  0  0   2   2   0  0  0  0 |  *  *  *  *  * 96  *   *   *   *   *   *  *  *  *  * |  0  1  0  0  1  0 1  0  0  0  0  0  0  0  1  0  0  0 | 1 1 0  0  1  0  1 0
.. .. .. o.4x.     |   4  0 |  0  0   0   4   0  0  0  0 |  *  *  *  *  *  * 48   *   *   *   *   *  *  *  *  * |  0  0  1  0  0  1 0  1  0  0  0  0  0  0  0  0  0  0 | 1 1 1  0  0  0  0 0
xo .. .. .. ..&#x  |   2  1 |  1  0   0   0   2  0  0  0 |  *  *  *  *  *  *  * 192   *   *   *   *  *  *  *  * |  0  0  0  0  0  0 0  1  1  1  0  0  0  0  0  0  0  0 | 0 0 1  1  1  0  0 0
.. xx .. .. ..&#x  |   2  2 |  0  1   0   0   2  1  0  0 |  *  *  *  *  *  *  *   * 192   *   *   *  *  *  *  * |  0  0  0  0  0  0 0  0  0  0  1  1  1  0  0  0  0  0 | 0 0 1  0  0  1  1 0
.. .. xo .. ..&#x  |   2  1 |  0  0   1   0   2  0  0  0 |  *  *  *  *  *  *  *   *   * 192   *   *  *  *  *  * |  0  0  0  0  0  0 0  1  0  0  1  0  0  1  1  0  0  0 | 0 0 0  1  1  1  1 0
.. .. .. ox ..&#x  |   1  2 |  0  0   0   0   2  0  1  0 |  *  *  *  *  *  *  *   *   *   * 192   *  *  *  *  * |  0  0  0  0  0  0 0  0  1  0  0  1  0  1  0  0  0  0 | 0 0 1  1  0  1  0 0
.. .. .. .. xx&#x  |   2  2 |  0  0   0   1   2  0  0  1 |  *  *  *  *  *  *  *   *   *   *   * 192  *  *  *  * |  0  0  0  0  0  0 0  0  0  1  0  0  1  0  1  0  0  0 | 0 0 1  0  1  0  1 0
.o4.x .. .. ..     |   0  4 |  0  0   0   0   0  4  0  0 |  *  *  *  *  *  *  *   *   *   *   *   * 24  *  *  * |  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  2  1  0 | 0 0 2  0  0  0  0 1
.. .x .. .x ..     |   0  4 |  0  0   0   0   0  2  2  0 |  *  *  *  *  *  *  *   *   *   *   *   *  * 96  *  * |  0  0  0  0  0  0 0  0  0  0  0  1  0  0  0  1  0  1 | 0 0 1  0  0  1  0 1
.. .x .. .. .x     |   0  4 |  0  0   0   0   0  2  0  2 |  *  *  *  *  *  *  *   *   *   *   *   *  *  * 48  * |  0  0  0  0  0  0 0  0  0  0  0  0  2  0  0  0  1  0 | 0 0 2  0  0  0  1 0
.. .. .o3.x ..     |   0  3 |  0  0   0   0   0  0  3  0 |  *  *  *  *  *  *  *   *   *   *   *   *  *  *  * 32 |  0  0  0  0  0  0 0  0  0  0  0  0  0  2  0  0  0  2 | 0 0 0  1  0  2  0 1
-------------------+--------+----------------------------+------------------------------------------------------+------------------------------------------------------+--------------------
x. .. x.3o. ..        6  0 |  3  0   6   0   0  0  0  0 |  3  0  0  0  2  0  0   0   0   0   0   0  0  0  0  0 | 32  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  * | 1 0 0  1  0  0  0 0
x. .. x. .. x.        8  0 |  4  0   4   4   0  0  0  0 |  2  2  0  0  0  2  0   0   0   0   0   0  0  0  0  0 |  * 48  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  * | 1 0 0  0  1  0  0 0
x. .. .. o.4x.        8  0 |  4  0   0   8   0  0  0  0 |  0  4  0  0  0  0  2   0   0   0   0   0  0  0  0  0 |  *  * 24  *  *  * *  *  *  *  *  *  *  *  *  *  *  * | 1 0 1  0  0  0  0 0
.. x. x.3o. ..        6  0 |  0  3   6   0   0  0  0  0 |  0  0  3  0  2  0  0   0   0   0   0   0  0  0  0  0 |  *  *  * 32  *  * *  *  *  *  *  *  *  *  *  *  *  * | 0 1 0  0  0  1  0 0
.. x. x. .. x.        8  0 |  0  4   4   4   0  0  0  0 |  0  0  2  2  0  2  0   0   0   0   0   0  0  0  0  0 |  *  *  *  * 48  * *  *  *  *  *  *  *  *  *  *  *  * | 0 1 0  0  0  0  1 0
.. x. .. o.4x.        8  0 |  0  4   0   8   0  0  0  0 |  0  0  0  4  0  0  2   0   0   0   0   0  0  0  0  0 |  *  *  *  *  * 24 *  *  *  *  *  *  *  *  *  *  *  * | 0 1 1  0  0  0  0 0
.. .. x.3o.4x.       24  0 |  0  0  24  24   0  0  0  0 |  0  0  0  0  8 12  6   0   0   0   0   0  0  0  0  0 |  *  *  *  *  *  * 8  *  *  *  *  *  *  *  *  *  *  * | 1 1 0  0  0  0  0 0
xo .. xo .. ..&#x     4  1 |  2  0   2   0   4  0  0  0 |  1  0  0  0  0  0  0   2   0   2   0   0  0  0  0  0 |  *  *  *  *  *  * * 96  *  *  *  *  *  *  *  *  *  * | 0 0 0  1  1  0  0 0
xo .. .. ox ..&#x     2  2 |  1  0   0   0   4  0  1  0 |  0  0  0  0  0  0  0   2   0   0   2   0  0  0  0  0 |  *  *  *  *  *  * *  * 96  *  *  *  *  *  *  *  *  * | 0 0 1  1  0  0  0 0
xo .. .. .. xx&#x     4  2 |  2  0   0   2   4  0  0  1 |  0  1  0  0  0  0  0   2   0   0   0   2  0  0  0  0 |  *  *  *  *  *  * *  *  * 96  *  *  *  *  *  *  *  * | 0 0 1  0  1  0  0 0
.. xx xo .. ..&#x     4  2 |  0  2   2   0   4  1  0  0 |  0  0  1  0  0  0  0   0   2   2   0   0  0  0  0  0 |  *  *  *  *  *  * *  *  *  * 96  *  *  *  *  *  *  * | 0 0 0  0  0  1  1 0
.. xx .. ox ..&#x     2  4 |  0  1   0   0   4  2  2  0 |  0  0  0  0  0  0  0   0   2   0   2   0  0  1  0  0 |  *  *  *  *  *  * *  *  *  *  * 96  *  *  *  *  *  * | 0 0 1  0  0  1  0 0
.. xx .. .. xx&#x     4  4 |  0  2   0   2   4  2  0  2 |  0  0  0  1  0  0  0   0   2   0   0   2  0  0  1  0 |  *  *  *  *  *  * *  *  *  *  *  * 96  *  *  *  *  * | 0 0 1  0  0  0  1 0
.. .. xo3ox ..&#x     3  3 |  0  0   3   0   6  0  3  0 |  0  0  0  0  1  0  0   0   0   3   3   0  0  0  0  1 |  *  *  *  *  *  * *  *  *  *  *  *  * 64  *  *  *  * | 0 0 0  1  0  1  0 0
.. .. xo .. xx&#x     4  2 |  0  0   2   2   4  0  0  1 |  0  0  0  0  0  1  0   0   0   2   0   2  0  0  0  0 |  *  *  *  *  *  * *  *  *  *  *  *  *  * 96  *  *  * | 0 0 0  0  1  0  1 0
.o4.x .. .x ..        0  8 |  0  0   0   0   0  8  4  0 |  0  0  0  0  0  0  0   0   0   0   0   0  2  4  0  0 |  *  *  *  *  *  * *  *  *  *  *  *  *  *  * 24  *  * | 0 0 1  0  0  0  0 1
.o4.x .. .. .x        0  8 |  0  0   0   0   0  8  0  4 |  0  0  0  0  0  0  0   0   0   0   0   0  2  0  4  0 |  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * 12  * | 0 0 2  0  0  0  0 0
.. .x .o3.x ..        0  6 |  0  0   0   0   0  3  6  0 |  0  0  0  0  0  0  0   0   0   0   0   0  0  3  0  2 |  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  * 32 | 0 0 0  0  0  1  0 1
-------------------+--------+----------------------------+------------------------------------------------------+------------------------------------------------------+--------------------
x. .. x.3o.4x.       48  0 | 24  0  48  48   0  0  0  0 | 24 24  0  0 16 24 12   0   0   0   0   0  0  0  0  0 |  8 12  6  0  0  0 2  0  0  0  0  0  0  0  0  0  0  0 | 4 * *  *  *  *  * *
.. x. x.3o.4x.       48  0 |  0 24  48  48   0  0  0  0 |  0  0 24 24 16 24 12   0   0   0   0   0  0  0  0  0 |  0  0  0  8 12  6 2  0  0  0  0  0  0  0  0  0  0  0 | * 4 *  *  *  *  * *
xo4xx .. ox4xx&#zx   32 32 | 16 16   0  32  64 32 16 16 |  0 16  0 16  0  0  8  32  32   0  32  32  8 16 16  0 |  0  0  4  0  0  4 0  0 16 16  0 16 16  0  0  4  4  0 | * * 6  *  *  *  * *
xo .. xo3ox ..&#x     6  3 |  3  0   6   0  12  0  3  0 |  3  0  0  0  2  0  0   6   0   6   6   0  0  0  0  1 |  1  0  0  0  0  0 0  3  3  0  0  0  0  2  0  0  0  0 | * * * 32  *  *  * *
xo .. xo .. xx&#x     8  2 |  4  0   4   4   8  0  0  1 |  2  2  0  0  0  2  0   4   0   4   0   4  0  0  0  0 |  0  1  0  0  0  0 0  2  0  2  0  0  0  0  2  0  0  0 | * * *  * 48  *  * *
.. xx xo3ox ..&#x     6  6 |  0  3   6   0  12  3  6  0 |  0  0  3  0  2  0  0   0   6   6   6   0  0  3  0  2 |  0  0  0  1  0  0 0  0  0  0  3  3  0  2  0  0  0  1 | * * *  *  * 32  * *
.. xx xo .. xx&#x     8  4 |  0  4   4   4   8  2  0  2 |  0  0  2  2  0  2  0   0   4   4   0   4  0  0  1  0 |  0  0  0  0  1  0 0  0  0  0  2  0  2  0  2  0  0  0 | * * *  *  *  * 48 *
.o4.x .o3.x ..        0 12 |  0  0   0   0   0 12 12  0 |  0  0  0  0  0  0  0   0   0   0   0   0  3 12  0  4 |  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  3  0  4 | * * *  *  *  *  * 8

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