Acronym starpglassdit
Name pentagrammic-retroprismatic-hourglass duotegum
Circumradius 1/sqrt(2) = 0.707107
Face vector 20, 120, 229, 190, 75, 14
Confer
general polytopal classes:
scaliform  

Despite the starpglass itself incorporates q-edges as well, the tegum product thereof resolves these into square faces in the sense of o || q || o. Thence this polypeton happens to be scaliform.


Incidence matrix according to Dynkin symbol

oxoo5/2ooox xooo5/2ooxo&#xr

o...5/2o... o...5/2o...     & | 20 |  2  10 |  30  5 1 |  20 12 15 | 14 10  6 | 2  7
------------------------------+----+--------+----------+-----------+----------+-----
....   .... x...   ....     & |  2 | 20   * |  10  0 1 |  10 10  5 | 12  5  5 | 2  6
oo..5/2oo.. oo..5/2oo..&#x  & |  2 |  * 100 |   4  1 0 |   4  2  4 |  4  4  2 | 1  4
------------------------------+----+--------+----------+-----------+----------+-----
ox..   .... ....   ....&#x  & |  3 |  1   2 | 200  * * |   2  1  1 |  3  2  1 | 1  3
oooo5/2oooo oooo5/2oooo&#xr   |  4 |  0   4 |   * 25 * |   0  0  4 |  0  4  2 | 0  4
....   .... x...5/2o...     & |  5 |  5   0 |   *  * 4    0 10  0 | 10  0  5 | 2  5
------------------------------+----+--------+----------+-----------+----------+-----
ox..   .... xo..   ....&#x  &   4 |  2   4 |   4  0 0 | 100  *  * |  2  1  0 | 1  2
ox..5/2oo.. ....   ....&#x  &   6 |  5   5 |   5  0 1 |   * 40  * |  2  0  1 | 1  2
oxo(-x) .... ....  ....&#xr &   6 |  2   8 |   4  2 0 |   *  * 50 |  0  2  1 | 0  3
------------------------------+----+--------+----------+-----------+----------+-----
ox..5/2oo.. xo..   ....&#x  &   7 |  6  10 |  15  0 1 |   5  2  0 | 40  *  * | 1  1
oxo(-x) ... xo(-x)o ...&#xr     8 |  4  16 |  16  4 0 |   4  0  4 |  * 25  * | 0  2
oxoo5/2ooox ....   ....&#xr &  12 | 10  20 |  20  5 2 |   0  4  5 |  *  * 10 | 0  2
------------------------------+----+--------+----------+-----------+----------+-----
ox..5/2oo.. xo..5/2oo..&#x  &  10 | 10  25 |  50  0 2 |  25 10  0 | 10  0  0 | 4  *
oxo(-x) ... xooo5/2ooxo&#xr &  14 | 12  40 |  60 10 2 |  20  8 15 |  4  5  2 | * 10

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