Acronym redscox (alt.: trisoo)
Name hecatonenenecontadia-diminished small cellihexeract,
partially triexpanded xedrag,
tri - (4,8,8)-trioprism
Circumradius sqrt[sqrt(2)+5/2] = 1.978437
Confer
uniform relative:
scox   (4,8,8)-trioprism  
related CRFs:
xedrag  
general polytopal classes:
scaliform  

Incidence matrix according to Dynkin symbol

xxo4xxx xox4xxx oxx4xxx&#zx   → height = 0
(tegum sum of 3 cyclically interchanged (4,8,8)-trioprisms)

o..4o.. o..4o.. o..4o..     & | 768 |   2   2   2    4 |   1   2   4   1   4   1   4   4    6    8   2 |   2   4   2   2   2   6   8   8   6   2   6   4   5   6 |  1  2  1   2   6   4   2   6   4  2   4  10   6 |  2  2  1   4   5  2
------------------------------+-----+------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------------+--------------------
x.. ... ... ... ... ...     & |   2 | 768   *   *    * |   1   1   2   0   0   0   2   0    2    0   0 |   2   2   1   0   0   5   4   0   2   1   2   0   2   0 |  1  1  0   2   5   2   1   2   0  1   3   4   0 |  2  1  1   3   2  0 skew edges of base octagons
... x.. ... ... ... ...     & |   2 |   * 768   *    * |   0   1   0   1   2   0   0   2    0    2   0 |   0   2   0   2   1   0   2   6   3   0   1   2   0   2 |  0  1  1   0   1   2   1   4   4  1   0   3   4 |  1  2  0   1   3  2 para edges of base octagons
... ... ... ... ... x..     & |   2 |   *   * 768    * |   0   0   2   0   2   1   0   0    0    2   0 |   1   2   2   1   2   0   2   2   0   0   2   2   0   1 |  1  2  1   0   2   2   0   2   2  2   0   2   2 |  2  2  0   1   2  1 edges of base squares
oo.4oo. oo.4oo. oo.4oo.&#x  & |   2 |   *   *   * 1536 |   0   0   0   0   0   0   1   1    2    2   1 |   0   0   0   0   0   2   2   2   2   1   2   1   3   3 |  0  0  0   1   2   1   1   2   1  1   3   6   3 |  1  1  1   3   3  1 lacing edges
------------------------------+-----+------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------------+--------------------
x.. ... x... ... ... ...    & |   4 |   4   0   0    0 | 192   *   *   *   *   *   *   *    *    *   * |   2   0   0   0   0   4   0   0   0   0   0   0   0   0 |  1  0  0   2   4   0   0   0   0  0   2   0   0 |  2  0  1   2   0  0
x.. ... ... x... ... ...    & |   4 |   2   2   0    0 |   * 384   *   *   *   *   *   *    *    *   * |   0   2   0   0   0   0   2   0   2   0   0   0   0   0 |  0  1  0   0   1   2   1   2   0  0   0   2   0 |  1  1  0   1   2  0
x.. ... ... ... ... x..     & |   4 |   2   0   2    0 |   *   * 768   *   *   *   *   *    *    *   * |   1   1   1   0   0   0   1   0   0   0   1   0   0   0 |  1  1  0   0   2   1   0   1   0  1   0   1   0 |  2  1  0   1   1  0
... x.. ... x... ... ...    & |   4 |   0   4   0    0 |   *   *   * 192   *   *   *   *    *    *   * |   0   0   0   2   0   0   0   4   0   0   0   0   0   0 |  0  0  1   0   0   0   0   2   4  0   0   0   2 |  0  2  0   0   1  2
... x.. ... ... ... x..     & |   4 |   0   2   2    0 |   *   *   *   * 768   *   *   *    *    *   * |   0   1   0   1   1   0   0   1   0   0   0   1   0   0 |  0  1  1   0   0   1   0   1   2  1   0   0   1 |  1  1  0   0   1  1
... ... ... ... o..4x..     & |   4 |   0   0   4    0 |   *   *   *   *   * 192   *   *    *    *   * |   0   0   2   0   2   0   0   0   0   0   0   0   0   0 |  1  2  1   0   0   0   0   0   0  2   0   0   0 |  2  2  0   0   0  0
xx. ... ... ... ... ...&#x  & |   4 |   2   0   0    2 |   *   *   *   *   *   * 768   *    *    *   * |   0   0   0   0   0   2   2   0   0   0   0   0   1   0 |  0  0  0   1   2   1   0   0   0  0   2   2   0 |  1  0  1   2   1  0
... xx. ... ... ... ...&#x  & |   4 |   0   2   0    2 |   *   *   *   *   *   *   * 768    *    *   * |   0   0   0   0   0   0   0   2   2   0   0   0   0   1 |  0  0  0   0   0   0   1   2   1  0   0   2   2 |  0  1  0   1   2  1
... ... xo. ... ... ...&#x  & |   3 |   1   0   0    2 |   *   *   *   *   *   *   *   * 1536    *   * |   0   0   0   0   0   1   0   0   1   1   1   0   1   0 |  0  0  0   1   1   0   1   1   0  1   2   2   0 |  1  1  1   2   1  0
... ... ... xx. ... ...&#x  & |   4 |   0   1   1    2 |   *   *   *   *   *   *   *   *    * 1536   * |   0   0   0   0   0   0   1   1   0   0   1   1   0   1 |  0  0  0   0   1   1   0   1   1  1   0   2   2 |  1  1  0   1   2  1
ooo4ooo ooo4ooo ooo4ooo&#x    |   3 |   0   0   0    3 |   *   *   *   *   *   *   *   *    *    * 512 |   0   0   0   0   0   0   0   0   0   0   0   0   3   3 |  0  0  0   0   0   0   0   0   0  0   3   6   3 |  0  0  1   3   3  1
------------------------------+-----+------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------------+--------------------
x.. ... x.. ... ... x..     &    8 |   8   0   4    0 |   2   0   4   0   0   0   0   0    0    0   0 | 192   *   *   *   *   *   *   *   *   *   *   *   *   * |  1  0  0   0   2   0   0   0   0  0   0   0   0 |  2  0  0   1   0  0
x.. ... ... x.. ... x..     &    8 |   4   4   4    0 |   0   2   2   0   2   0   0   0    0    0   0 |   * 384   *   *   *   *   *   *   *   *   *   *   *   * |  0  1  0   0   0   1   0   1   0  0   0   0   0 |  1  1  0   0   1  0
x.. ... ... ... o..4x..     &    8 |   4   0   8    0 |   0   0   4   0   0   2   0   0    0    0   0 |   *   * 192   *   *   *   *   *   *   *   *   *   *   * |  1  1  0   0   0   0   0   0   0  1   0   0   0 |  2  1  0   0   0  0
... x.. ... x.. ... x..     &    8 |   0   8   4    0 |   0   0   0   2   4   0   0   0    0    0   0 |   *   *   * 192   *   *   *   *   *   *   *   *   *   * |  0  0  1   0   0   0   0   0   2  0   0   0   0 |  0  2  0   0   0  1
... x.. ... ... o..4x..     &    8 |   0   4   8    0 |   0   0   0   0   4   2   0   0    0    0   0 |   *   *   *   * 192   *   *   *   *   *   *   *   *   * |  0  1  1   0   0   0   0   0   0  1   0   0   0 |  1  2  0   0   0  0
xx. ... xo. ... ... ...&#x  &    6 |   5   0   0    4 |   1   0   0   0   0   0   2   0    2    0   0 |   *   *   *   *   * 768   *   *   *   *   *   *   *   * |  0  0  0   1   1   0   0   0   0  0   1   0   0 |  1  0  1   1   0  0
xx. ... ... xx. ... ...&#x  &    8 |   4   2   2    4 |   0   1   1   0   0   0   2   0    0    2   0 |   *   *   *   *   *   * 768   *   *   *   *   *   *   * |  0  0  0   0   1   1   0   0   0  0   0   1   0 |  1  0  0   1   1  0
... xx. ... xx. ... ...&#x  &    8 |   0   6   2    4 |   0   0   0   1   1   0   0   2    0    2   0 |   *   *   *   *   *   *   * 768   *   *   *   *   *   * |  0  0  0   0   0   0   0   1   1  0   0   0   1 |  0  1  0   0   1  1
... xx. ... ... ox. ...&#x  &    6 |   2   3   0    4 |   0   1   0   0   0   0   0   2    2    0   0 |   *   *   *   *   *   *   *   * 768   *   *   *   *   * |  0  0  0   0   0   0   1   1   0  0   0   1   0 |  0  1  0   1   1  0
... ... xo. ... ox. ...&#x  &    4 |   2   0   0    4 |   0   0   0   0   0   0   0   0    4    0   0 |   *   *   *   *   *   *   *   *   * 384   *   *   *   * |  0  0  0   1   0   0   1   0   0  1   1   0   0 |  1  1  1   1   0  0
... ... ... xx. ox. ...&#x  &    6 |   2   1   2    4 |   0   0   1   0   0   0   0   0    2    2   0 |   *   *   *   *   *   *   *   *   *   * 768   *   *   * |  0  0  0   0   1   0   0   1   0  1   0   1   0 |  1  1  0   1   1  0
... ... ... xx. ... xx.&#x  &    8 |   0   4   4    4 |   0   0   0   0   2   0   0   0    0    4   0 |   *   *   *   *   *   *   *   *   *   *   * 384   *   * |  0  0  0   0   0   1   0   0   1  1   0   0   1 |  1  1  0   0   1  1
xxo ... ... ... ... ...&#x  &    5 |   2   0   0    6 |   0   0   0   0   0   0   1   0    2    0   2 |   *   *   *   *   *   *   *   *   *   *   *   * 768   * |  0  0  0   0   0   0   0   0   0  0   2   2   0 |  0  0  1   2   1  0
... xxx ... ... ... ...&#x  &    6 |   0   2   1    6 |   0   0   0   0   0   0   0   1    0    2   2 |   *   *   *   *   *   *   *   *   *   *   *   *   * 768 |  0  0  0   0   0   0   0   0   0  0   0   2   2 |  0  0  0   1   2  1
------------------------------+-----+------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------------+--------------------
x.. ... x...... o..4x..     &   16 |  16   0  16    0 |   4   0  16   0   0   4   0   0    0    0   0 |   4   0   4   0   0   0   0   0   0   0   0   0   0   0 | 48  *  *   *   *   *   *   *   *  *   *   *   * |  2  0  0   0   0  0
x.. ... ... x.. o..4x..     &   16 |   8   8  16    0 |   0   4   8   0   8   4   0   0    0    0   0 |   0   4   2   0   2   0   0   0   0   0   0   0   0   0 |  * 96  *   *   *   *   *   *   *  *   *   *   * |  1  1  0   0   0  0
... x.. ... x.. o..4x..     &   16 |   0  16  16    0 |   0   0   0   4  16   4   0   0    0    0   0 |   0   0   0   4   4   0   0   0   0   0   0   0   0   0 |  *  * 48   *   *   *   *   *   *  *   *   *   * |  0  2  0   0   0  0
xx. ... xo. ... ox. ...&#x  &    8 |   8   0   0    8 |   2   0   0   0   0   0   4   0    8    0   0 |   0   0   0   0   0   4   0   0   0   2   0   0   0   0 |  *  *  * 192   *   *   *   *   *  *   *   *   * |  1  0  1   0   0  0
xx. ... xo. ... ... xx.&#x  &   12 |  10   2   4    8 |   2   1   4   0   0   0   4   0    4    4   0 |   1   0   0   0   0   2   2   0   0   0   2   0   0   0 |  *  *  *   * 384   *   *   *   *  *   *   *   * |  1  0  0   1   0  0
xx. ... ... xx. ... xx.&#x  &   16 |   8   8   8    8 |   0   4   4   0   4   0   4   0    0    8   0 |   0   2   0   0   0   0   4   0   0   0   0   2   0   0 |  *  *  *   *   * 192   *   *   *  *   *   *   * |  1  0  0   0   1  0
... xx. xo. ... ox. ...&#x  &    8 |   4   4   0    8 |   0   2   0   0   0   0   0   4    8    0   0 |   0   0   0   0   0   0   0   0   4   2   0   0   0   0 |  *  *  *   *   *   * 192   *   *  *   *   *   * |  0  1  0   1   0  0
... xx. xo. ... ... xx.&#x  &   12 |   4   8   4    8 |   0   2   2   1   2   0   0   4    4    4   0 |   0   1   0   0   0   0   0   2   2   0   2   0   0   0 |  *  *  *   *   *   *   * 384   *  *   *   *   * |  0  1  0   0   1  0
... xx. ... xx. ... xx.&#x  &   16 |   0  16   8    8 |   0   0   0   4   8   0   0   4    0    8   0 |   0   0   0   2   0   0   0   4   0   0   0   2   0   0 |  *  *  *   *   *   *   *   * 192  *   *   *   * |  0  1  0   0   0  1
... ... xo.4xx. ox.4xx.&#zx &   64 |  32  32  64   64 |   0   0  32   0  32  16   0   0   64   64   0 |   0   0   8   0   8   0   0   0   0  16  32  16   0   0 |  *  *  *   *   *   *   *   *   * 24   *   *   * |  1  1  0   0   0  0
xxo ... xox ... ... ...&#x  &    8 |   6   0   0   12 |   1   0   0   0   0   0   4   0    8    0   4 |   0   0   0   0   0   2   0   0   0   1   0   0   4   0 |  *  *  *   *   *   *   *   *   *  * 384   *   * |  0  0  1   1   0  0
xxo ... ... xxx ... ...&#x  &   10 |   4   3   2   12 |   0   1   1   0   0   0   2   2    4    4   4 |   0   0   0   0   0   0   1   0   1   0   1   0   2   2 |  *  *  *   *   *   *   *   *   *  *   * 768   * |  0  0  0   1   1  0
... xxx ... xxx ... ...&#x  &   12 |   0   8   4   12 |   0   0   0   1   2   0   0   4    0    8   4 |   0   0   0   0   0   0   0   2   0   0   0   1   0   4 |  *  *  *   *   *   *   *   *   *  *   *   * 384 |  0  0  0   0   1  1
------------------------------+-----+------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------------+--------------------
xx. ... xo.4xx. ox.4xx.&#zx &  128 | 128  64 128  128 |  32  32 128   0  64  32  64   0  128  128   0 |  32  32  32   0  16  64  64   0   0  32  64  32   0   0 |  8  8  0  16  32  16   0   0   0  2   0   0   0 | 12  *  *   *   *  *
... xx. xo.4xx. ox.4xx.&#zx &  128 |  64 128 128  128 |   0  32  64  32  64  32   0  64  128  128   0 |   0  32  16  32  32   0   0  64  64  32  64  32   0   0 |  0  8  8   0   0   0  16  32  16  2   0   0   0 |  * 12  *   *   *  *
xxo ... xox ... oxx ...&#x      12 |  12   0   0   24 |   3   0   0   0   0   0  12   0   24    0   8 |   0   0   0   0   0  12   0   0   0   6   0   0  12   0 |  0  0  0   3   0   0   0   0   0  0   6   0   0 |  *  * 64   *   *  *
xxo ... xox ... ... xxx&#x  &   16 |  12   4   4   24 |   2   2   4   0   0   0   8   4   16    8   8 |   1   0   0   0   0   4   4   0   4   2   4   0   8   4 |  0  0  0   0   2   0   1   0   0  0   2   4   0 |  *  *  * 192   *  *
xxo ... ... xxx ... xxx&#x  &   20 |   8  12   8   24 |   0   4   4   1   4   0   4   8    8   16   8 |   0   2   0   0   0   0   4   4   4   0   4   2   4   8 |  0  0  0   0   0   1   0   2   0  0   0   4   2 |  *  *  *   * 192  *
... xxx ... xxx ... xxx&#x      24 |   0  24  12   24 |   0   0   0   6  12   0   0  12    0   24   8 |   0   0   0   3   0   0   0  12   0   0   0   6   0  12 |  0  0  0   0   0   0   0   0   3  0   0   0   6 |  *  *  *   *   * 64

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