Acronym pabgysiphin
Name parabigyrated small-prismated-hemipenteract
Circumradius sqrt(13/8) = 1.274755
Face vector 80, 400, 720, 480, 82
Confer
segmentotera:
hexalrit   rita  
uniform relative:
siphin  
general polytopal classes:
orbiform  

The gyration of either of the antipodal caps sections and readjoins all the (bistratic) spids of siphin, they become gyspids in here instead.

This CRF also occurs as partial Stott expansion of gyetac.


Incidence matrix according to Dynkin symbol

oxoo3oooo3ooxo *b3xxxx&#xt   → all heights = 1/sqrt(2) = 0.707107
(hex || gyro rit || alt. gyro rit || para hex)

o...3o...3o... *b3o...     & | 16  * |  6  4  0  0  0 | 12 12  6  0  0  0   0  0 |  4  4  4  6 12  0  0  0  0  0  0 | 1  1  4  4 0  0
.o..3.o..3.o.. *b3.o..     & |  * 64 |  0  1  3  3  3 |  0  3  3  3  3  3   9  6 |  0  0  3  3  3  1  1  4  3  9  3 | 0  1  4  1 1  3
-----------------------------+-------+----------------+--------------------------+----------------------------------+----------------
.... .... ....    x...     & |  2  0 | 48  *  *  *  * |  4  2  0  0  0  0   0  0 |  2  2  0  1  4  0  0  0  0  0  0 | 1  0  2  2 0  0
oo..3oo..3oo.. *b3oo..&#x  & |  1  1 |  * 64  *  *  * |  0  3  3  0  0  0   0  0 |  0  0  3  3  3  0  0  0  0  0  0 | 0  1  3  1 0  0
.x.. .... ....    ....     & |  0  2 |  *  * 96  *  * |  0  1  0  2  1  0   2  0 |  0  0  2  1  0  1  0  2  1  2  0 | 0  1  2  0 1  1
.... .... ....    .x..     & |  0  2 |  *  *  * 96  * |  0  0  1  0  1  2   0  2 |  0  0  0  1  2  0  1  0  0  3  2 | 0  0  3  1 0  1
.oo.3.oo.3.oo. *b3.oo.&#x    |  0  2 |  *  *  *  * 96 |  0  0  0  0  0  0   4  2 |  0  0  0  0  0  0  0  2  2  4  1 | 0  0  2  0 1  2
-----------------------------+-------+----------------+--------------------------+----------------------------------+----------------
.... o... .... *b3x...     & |  3  0 |  3  0  0  0  0 | 64  *  *  *  *  *   *  * |  1  1  0  0  1  0  0  0  0  0  0 | 1  0  1  1 0  0
ox.. .... ....    ....&#x  & |  1  2 |  0  2  1  0  0 |  * 96  *  *  *  *   *  * |  0  0  2  1  0  0  0  0  0  0  0 | 0  1  2  0 0  0
.... .... ....    xx..&#x  & |  2  2 |  1  2  0  1  0 |  *  * 96  *  *  *   *  * |  0  0  0  1  2  0  0  0  0  0  0 | 0  0  2  1 0  0
.x..3.o.. ....    ....     & |  0  3 |  0  0  3  0  0 |  *  *  * 64  *  *   *  * |  0  0  1  0  0  1  0  1  0  0  0 | 0  1  1  0 1  0
.x.. .... ....    .x..     & |  0  4 |  0  0  2  2  0 |  *  *  *  * 48  *   *  * |  0  0  0  1  0  0  0  0  0  2  0 | 0  0  2  0 0  1
.... .o.. .... *b3.x..     & |  0  3 |  0  0  0  3  0 |  *  *  *  *  * 64   *  * |  0  0  0  0  1  0  1  0  0  0  1 | 0  0  2  1 0  0
.xo. .... ....    ....&#x  & |  0  3 |  0  0  1  0  2 |  *  *  *  *  *  * 192  * |  0  0  0  0  0  0  0  1  1  1  0 | 0  0  1  0 1  1
.... .... ....    .xx.&#x    |  0  4 |  0  0  0  2  2 |  *  *  *  *  *  *   * 96 |  0  0  0  0  0  0  0  0  0  2  1 | 0  0  2  0 0  1
-----------------------------+-------+----------------+--------------------------+----------------------------------+----------------
o...3o... .... *b3x...     &   4  0 |  6  0  0  0  0 |  4  0  0  0  0  0   0  0 | 16  *  *  *  *  *  *  *  *  *  * | 1  0  1  0 0  0
.... o...3o... *b3x...     &   4  0 |  6  0  0  0  0 |  4  0  0  0  0  0   0  0 |  * 16  *  *  *  *  *  *  *  *  * | 1  0  0  1 0  0
ox..3oo.. ....    ....&#x  &   1  3 |  0  3  3  0  0 |  0  3  0  1  0  0   0  0 |  *  * 64  *  *  *  *  *  *  *  * | 0  1  1  0 0  0
ox.. .... ....    xx..&#x  &   2  4 |  1  4  2  2  0 |  0  2  2  0  1  0   0  0 |  *  *  * 48  *  *  *  *  *  *  * | 0  0  2  0 0  0
.... oo.. .... *b3xx..&#x  &   3  3 |  3  3  0  3  0 |  1  0  3  0  0  1   0  0 |  *  *  *  * 64  *  *  *  *  *  * | 0  0  1  1 0  0
.x..3.o..3.o..    ....     &   0  4 |  0  0  6  0  0 |  0  0  0  4  0  0   0  0 |  *  *  *  *  * 16  *  *  *  *  * | 0  1  0  0 1  0
.... .o..3.o.. *b3.x..     &   0  4 |  0  0  0  6  0 |  0  0  0  0  0  4   0  0 |  *  *  *  *  *  * 16  *  *  *  * | 0  0  1  1 0  0
.xo.3.oo. ....    ....&#x  &   0  4 |  0  0  3  0  3 |  0  0  0  1  0  0   3  0 |  *  *  *  *  *  *  * 64  *  *  * | 0  0  1  0 1  0
.xo. .... .ox.    ....&#x      0  4 |  0  0  2  0  4 |  0  0  0  0  0  0   4  0 |  *  *  *  *  *  *  *  * 48  *  * | 0  0  0  0 1  1
.xo. .... ....    .xx.&#x  &   0  6 |  0  0  2  3  4 |  0  0  0  0  1  0   2  2 |  *  *  *  *  *  *  *  *  * 96  * | 0  0  1  0 0  1
.... .oo. .... *b3.xx.&#x      0  6 |  0  0  0  6  3 |  0  0  0  0  0  2   0  3 |  *  *  *  *  *  *  *  *  *  * 32 | 0  0  2  0 0  0
-----------------------------+-------+----------------+--------------------------+----------------------------------+----------------
o...3o...3o... *b3x...     &   8  0 | 24  0  0  0  0 | 32  0  0  0  0  0   0  0 |  8  8  0  0  0  0  0  0  0  0  0 | 2  *  *  * *  *
ox..3oo..3oo..    ....&#x  &   1  4 |  0  4  6  0  0 |  0  6  0  4  0  0   0  0 |  0  0  4  0  0  1  0  0  0  0  0 | * 16  *  * *  *
oxo.3ooo. .... *b3xxx.&#xt &   4 16 |  6 12 12 18 12 |  4 12 12  4  6  8  12 12 |  1  0  4  6  4  0  1  4  0  6  4 | *  * 16  * *  *
.... oo..3oo.. *b3xx..&#x  &   4  4 |  6  4  0  6  0 |  4  0  6  0  0  4   0  0 |  0  1  0  0  4  0  1  0  0  0  0 | *  *  * 16 *  *
.xo.3.oo.3.ox.    ....&#x      0  8 |  0  0 12  0 12 |  0  0  0  8  0  0  24  0 |  0  0  0  0  0  2  0  8  6  0  0 | *  *  *  * 8  *
.xo. .... .ox.    .xx.&#x      0  8 |  0  0  4  4  8 |  0  0  0  0  2  0   8  4 |  0  0  0  0  0  0  0  0  2  4  0 | *  *  *  * * 24

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