Acronym icau pretasto
Name icositetra-augmented pentagonorhombic-trisnub-trisoctachoron
 
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uniform relative:
ex  
related CRFs:
bilbiro wedge   pretasto   Fxox3xoxf3oFxx *b3oxfo&#zx   fooo3xxoF3xfxo *b3oxFo&#zx  
general polytopal classes:
expanded kaleido-facetings  

The relation to ex runs as follows: ex in demitessic subsymmetry can be given as ooxf3fooo3oxfo *b3ofox&#zx. That will be transformed into ooxf3foox3oxfo *b3ofo(-x)&#zx (faceting, same vertex set). Then a Stott expansion wrt. the last node produces this polychoron.


Incidence matrix according to Dynkin symbol

ooxf3foox3oxfo *b3xFxo&#zx   → all heights = 0 – except that of not existing lacing(2,4)

o...3o...3o... *b3o...     | 48  *  *  * |  1  2   4  2  0  0  0  0   0  0 |  1  2  4  2   4   4  0  0  0  0  0  0  0  0  0 |  2  2  2  4 0  0 0  0 0
.o..3.o..3.o.. *b3.o..     |  * 32  *  * |  0  3   0  0  3  3  0  0   0  0 |  3  0  0  0   6   0  3  3  0  0  0  0  0  0  0 |  3  3  0  0 1  1 0  0 0
..o.3..o.3..o. *b3..o.     |  *  * 96  * |  0  0   2  0  0  1  2  2   2  0 |  0  2  2  0   2   2  0  2  1  1  2  1  2  0  0 |  1  2  2  2 0  1 1  1 0
...o3...o3...o *b3...o     |  *  *  * 48 |  0  0   0  2  0  0  0  0   4  4 |  0  0  0  1   0   4  0  0  0  0  0  4  2  2  2 |  2  0  0  2 0  0 0  2 1
---------------------------+-------------+---------------------------------+------------------------------------------------+------------------------
.... .... ....    x...     |  2  0  0  0 | 24  *   *  *  *  *  *  *   *  * |  0  0  4  2   0   0  0  0  0  0  0  0  0  0  0 |  0  0  2  4 0  0 0  0 0
oo..3oo..3oo.. *b3oo..&#x  |  1  1  0  0 |  * 96   *  *  *  *  *  *   *  * |  1  0  0  0   2   0  0  0  0  0  0  0  0  0  0 |  2  1  0  0 0  0 0  0 0
o.o.3o.o.3o.o. *b3o.o.&#x  |  1  0  1  0 |  *  * 192  *  *  *  *  *   *  * |  0  1  1  0   1   1  0  0  0  0  0  0  0  0  0 |  1  1  1  1 0  0 0  0 0
o..o3o..o3o..o *b3o..o&#x  |  1  0  0  1 |  *  *   * 96  *  *  *  *   *  * |  0  0  0  1   0   2  0  0  0  0  0  0  0  0  0 |  1  0  0  2 0  0 0  0 0
.... .... .x..    ....     |  0  2  0  0 |  *  *   *  * 48  *  *  *   *  * |  1  0  0  0   0   0  2  0  0  0  0  0  0  0  0 |  2  0  0  0 1  0 0  0 0
.oo.3.oo.3.oo. *b3.oo.&#x  |  0  1  1  0 |  *  *   *  *  * 96  *  *   *  * |  0  0  0  0   2   0  0  2  0  0  0  0  0  0  0 |  1  2  0  0 0  1 0  0 0
..x. .... ....    ....     |  0  0  2  0 |  *  *   *  *  *  * 96  *   *  * |  0  1  0  0   0   0  0  1  1  0  1  0  0  0  0 |  0  1  1  0 0  1 1  0 0
.... .... ....    ..x.     |  0  0  2  0 |  *  *   *  *  *  *  * 96   *  * |  0  0  1  0   0   0  0  0  0  1  1  0  1  0  0 |  0  0  1  1 0  0 1  1 0
..oo3..oo3..oo *b3..oo&#x  |  0  0  1  1 |  *  *   *  *  *  *  *  * 192  * |  0  0  0  0   0   1  0  0  0  0  0  1  1  0  0 |  1  0  0  1 0  0 0  1 0
.... ...x ....    ....     |  0  0  0  2 |  *  *   *  *  *  *  *  *   * 96 |  0  0  0  0   0   0  0  0  0  0  0  1  0  1  1 |  1  0  0  0 0  0 0  1 1
---------------------------+-------------+---------------------------------+------------------------------------------------+------------------------
.... .... ox..    ....&#x  |  1  2  0  0 |  0  2   0  0  1  0  0  0   0  0 | 48  *  *  *   *   *  *  *  *  *  *  *  *  *  * |  2  0  0  0 0  0 0  0 0
o.x. .... ....    ....&#x  |  1  0  2  0 |  0  0   2  0  0  0  1  0   0  0 |  * 96  *  *   *   *  *  *  *  *  *  *  *  *  * |  0  1  1  0 0  0 0  0 0
.... .... ....    x.x.&#x  |  2  0  2  0 |  1  0   2  0  0  0  0  1   0  0 |  *  * 96  *   *   *  *  *  *  *  *  *  *  *  * |  0  0  1  1 0  0 0  0 0
.... .... ....    x..o&#x  |  2  0  0  1 |  1  0   0  2  0  0  0  0   0  0 |  *  *  * 48   *   *  *  *  *  *  *  *  *  *  * |  0  0  0  2 0  0 0  0 0
ooo.3ooo.3ooo. *b3ooo.&#x  |  1  1  1  0 |  0  1   1  0  0  1  0  0   0  0 |  *  *  *  * 192   *  *  *  *  *  *  *  *  *  * |  1  1  0  0 0  0 0  0 0
o.oo3o.oo3o.oo *b3o.oo&#x  |  1  0  1  1 |  0  0   1  1  0  0  0  0   1  0 |  *  *  *  *   * 192  *  *  *  *  *  *  *  *  * |  1  0  0  1 0  0 0  0 0
.... .o..3.x..    ....     |  0  3  0  0 |  0  0   0  0  3  0  0  0   0  0 |  *  *  *  *   *   * 32  *  *  *  *  *  *  *  * |  1  0  0  0 1  0 0  0 0
.ox. .... ....    ....&#x  |  0  1  2  0 |  0  0   0  0  0  2  1  0   0  0 |  *  *  *  *   *   *  * 96  *  *  *  *  *  *  * |  0  1  0  0 0  1 0  0 0
..x.3..o. ....    ....     |  0  0  3  0 |  0  0   0  0  0  0  3  0   0  0 |  *  *  *  *   *   *  *  * 32  *  *  *  *  *  * |  0  0  0  0 0  1 1  0 0
.... ..o. .... *b3..x.     |  0  0  3  0 |  0  0   0  0  0  0  0  3   0  0 |  *  *  *  *   *   *  *  *  * 32  *  *  *  *  * |  0  0  0  0 0  0 1  1 0
..x. .... ....    ..x.     |  0  0  4  0 |  0  0   0  0  0  0  2  2   0  0 |  *  *  *  *   *   *  *  *  *  * 48  *  *  *  * |  0  0  1  0 0  0 1  0 0
.... ..ox ....    ....&#x  |  0  0  1  2 |  0  0   0  0  0  0  0  0   2  1 |  *  *  *  *   *   *  *  *  *  *  * 96  *  *  * |  1  0  0  0 0  0 0  1 0
.... .... ....    ..xo&#x  |  0  0  2  1 |  0  0   0  0  0  0  0  1   2  0 |  *  *  *  *   *   *  *  *  *  *  *  * 96  *  * |  0  0  0  1 0  0 0  1 0
.... ...x3...o    ....     |  0  0  0  3 |  0  0   0  0  0  0  0  0   0  3 |  *  *  *  *   *   *  *  *  *  *  *  *  * 32  * |  1  0  0  0 0  0 0  0 1
.... ...x3.... *b3...o     |  0  0  0  3 |  0  0   0  0  0  0  0  0   0  3 |  *  *  *  *   *   *  *  *  *  *  *  *  *  * 32 |  0  0  0  0 0  0 0  1 1
---------------------------+-------------+---------------------------------+------------------------------------------------+------------------------
.... foox3oxfo    ....&#zx   3  3  3  3 |  0  6   6  3  3  3  0  0   6  3 |  3  0  0  0   6   6  1  0  0  0  0  3  0  1  0 | 32  *  *  * *  * *  * *
oox. .... ....    ....&#x    1  1  2  0 |  0  1   2  0  0  2  1  0   0  0 |  0  1  0  0   2   0  0  1  0  0  0  0  0  0  0 |  * 96  *  * *  * *  * *
o.x. .... ....    x.x.&#x    2  0  4  0 |  1  0   4  0  0  0  2  2   0  0 |  0  2  2  0   0   0  0  0  0  0  1  0  0  0  0 |  *  * 48  * *  * *  * *
.... .... ....    x.xo&#x    2  0  2  1 |  1  0   2  2  0  0  0  1   2  0 |  0  0  1  1   0   2  0  0  0  0  0  0  1  0  0 |  *  *  * 96 *  * *  * *
.o..3.o..3.x..    ....       0  4  0  0 |  0  0   0  0  6  0  0  0   0  0 |  0  0  0  0   0   0  4  0  0  0  0  0  0  0  0 |  *  *  *  * 8  * *  * *
.ox.3.oo. ....    ....&#x    0  1  3  0 |  0  0   0  0  0  3  3  0   0  0 |  0  0  0  0   0   0  0  3  1  0  0  0  0  0  0 |  *  *  *  * * 32 *  * *
..x.3..o. .... *b3..x.       0  0 12  0 |  0  0   0  0  0  0 12 12   0  0 |  0  0  0  0   0   0  0  0  4  4  6  0  0  0  0 |  *  *  *  * *  * 8  * *
.... ..ox .... *b3..xo&#x    0  0  3  3 |  0  0   0  0  0  0  0  3   6  3 |  0  0  0  0   0   0  0  0  0  1  0  3  3  0  1 |  *  *  *  * *  * * 32 *
.... ...x3...o *b3...o       0  0  0  6 |  0  0   0  0  0  0  0  0   0 12 |  0  0  0  0   0   0  0  0  0  0  0  0  0  4  4 |  *  *  *  * *  * *  * 8

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