Acronym rocpy
Name rectified-octaexonal pyramid,
vertex pyramid of demiocteract
Circumradius 1
Inradius
wrt. oca
3/4 = 0.75
Inradius
wrt. rilpy
1/sqrt(8) = 0.353553
Inradius
wrt. roc
-1/2 = -0.5
Volume 1/2688 = 0.00037202
Dihedral angles
(at margins)
  • at hop between oca and rilpy:   arccos[-1/sqrt(8)] = 110.704811°
  • at rixpy between rilpy and rilpy:   90°
  • at ril between rilpy and roc:   arccos[1/sqrt(8)] = 69.295189°
  • at hop between oca and roc:   arccos(3/4) = 41.409622°
Face vector 29, 196, 504, 686, 574, 308, 100, 17
Confer
uniform relative:
hocto  
general polytopal classes:
segmentozetta   fundamental lace prisms  
analogs:
rectified simplex pyramid rSn-py  

Incidence matrix according to Dynkin symbol

oo3ox3oo3oo3oo3oo3oo&#x   → height = 1/2
(pt || roc)

o.3o.3o.3o.3o.3o.3o.    | 1  *  28   0 | 168  0   0 | 56 280  0   0 | 70 280  0   0 | 56 168  0  0 | 28 56 0 0 | 8 8 0
.o3.o3.o3.o3.o3.o3.o    | * 28 |  1  12 |  12  6  30 |  6  30 15  40 | 15  40 20  30 | 20  30 15 12 | 15 12 6 2 | 6 2 1
------------------------+------+--------+------------+---------------+---------------+--------------+-----------+------
oo3oo3oo3oo3oo3oo3oo&#x | 1  1 | 28   *   12  0   0 |  6  30  0   0 | 15  40  0   0 | 20  30  0  0 | 15 12 0 0 | 6 2 0
.. .x .. .. .. .. ..    | 0  2 |  * 168 |   1  1   5 |  1   5  5  10 |  5  10 10  10 | 10  10 10  5 | 10  5 5 1 | 5 1 1
------------------------+------+--------+------------+---------------+---------------+--------------+-----------+------
.. ox .. .. .. .. ..&#x | 1  2 |  2   1 | 168  *   * |  1   5  0   0 |  5  10  0   0 | 10  10  0  0 | 10  5 0 0 | 5 1 0
.o3.x .. .. .. .. ..    | 0  3 |  0   3 |   * 56   * |  1   0  5   0 |  5   0 10   0 | 10   0 10  0 | 10  0 5 0 | 5 0 1
.. .x3.o .. .. .. ..    | 0  3 |  0   3 |   *  * 280 |  0   1  1   4 |  1   4  4   6 |  4   6  6  4 |  6  4 4 1 | 4 1 1
------------------------+------+--------+------------+---------------+---------------+--------------+-----------+------
oo3ox .. .. .. .. ..&#x  1  3 |  3   3 |   3  1   0 | 56   *  *   *   5   0  0   0 | 10   0  0  0 | 10  0 0 0 | 5 0 0
.. ox3oo .. .. .. ..&#x  1  3 |  3   3 |   3  0   1 |  * 280  *   * |  1   4  0   0 |  4   6  0  0 |  6  4 0 0 | 4 1 0
.o3.x3.o .. .. .. ..     0  6 |  0  12 |   0  4   4 |  *   * 70   * |  1   0  4   0 |  4   0  6  0 |  6  0 4 0 | 4 0 1
.. .x3.o3.o .. .. ..     0  4 |  0   6 |   0  0   4 |  *   *  * 280 |  0   1  1   3 |  1   3  3  3 |  3  3 3 1 | 3 1 1
------------------------+------+--------+------------+---------------+---------------+--------------+-----------+------
oo3ox3oo .. .. .. ..&#x  1  6 |  6  12 |  12  4   4 |  4   4  1   0 | 70   *  *   *   4   0  0  0 |  6  0 0 0 | 4 0 0
.. ox3oo3oo .. .. ..&#x  1  4 |  4   6 |   6  0   4 |  0   4  0   1 |  * 280  *   * |  1   3  0  0 |  3  3 0 0 | 3 1 0
.o3.x3.o3.o .. .. ..     0 10 |  0  30 |   0 10  20 |  0   0  5   5 |  *   * 56   * |  1   0  3  0 |  3  0 3 0 | 3 0 1
.. .x3.o3.o3.o .. ..     0  5 |  0  10 |   0  0  10 |  0   0  0   5 |  *   *  * 168 |  0   1  1  2 |  1  2 2 1 | 2 1 1
------------------------+------+--------+------------+---------------+---------------+--------------+-----------+------
oo3ox3oo3oo .. .. ..&#x  1 10 | 10  30 |  30 10  20 | 10  20  5   5 |  5   5  1   0 | 56   *  *  * |  3  0 0 0 | 3 0 0
.. ox3oo3oo3oo .. ..&#x  1  5 |  5  10 |  10  0  10 |  0  10  0   5 |  0   5  0   1 |  * 168  *  * |  1  2 0 0 | 2 1 0
.o3.x3.o3.o3.o .. ..     0 15 |  0  60 |   0 20  60 |  0   0 15  30 |  0   0  6   6 |  *   * 28  * |  1  0 2 0 | 2 0 1
.. .x3.o3.o3.o3.o ..     0  6 |  0  15 |   0  0  20 |  0   0  0  15 |  0   0  0   6 |  *   *  * 56 |  0  1 1 1 | 1 1 1
------------------------+------+--------+------------+---------------+---------------+--------------+-----------+------
oo3ox3oo3oo3oo .. ..&#x  1 15 | 15  60 |  60 20  60 | 20  60 15  30 | 15  30  6   6 |  6   6  1  0 | 28  * * * | 2 0 0
.. ox3oo3oo3oo3oo ..&#x  1  6 |  6  15 |  15  0  20 |  0  20  0  15 |  0  15  0   6 |  0   6  0  1 |  * 56 * * | 1 1 0
.o3.x3.o3.o3.o3.o ..     0 21 |  0 105 |   0 35 140 |  0   0 35 105 |  0   0 21  42 |  0   0  7  7 |  *  * 8 * | 1 0 1
.. .x3.o3.o3.o3.o3.o     0  7 |  0  21 |   0  0  35 |  0   0  0  35 |  0   0  0  21 |  0   0  0  7 |  *  * * 8 | 0 1 1
------------------------+------+--------+------------+---------------+---------------+--------------+-----------+------
oo3ox3oo3oo3oo3oo ..&#x  1 21 | 21 105 | 105 35 140 | 35 140 35 105 | 35 105 21  42 | 21  42  7  7 |  7  7 1 0 | 8 * *
.. ox3oo3oo3oo3oo3oo&#x  1  7 |  7  21 |  21  0  35 |  0  35  0  35 |  0  35  0  21 |  0  21  0  7 |  0  7 0 1 | * 8 *
.o3.x3.o3.o3.o3.o3.o     0 28 |  0 168 |   0 56 280 |  0   0 70 280 |  0   0 56 168 |  0   0 28 56 |  0  0 8 8 | * * 1

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