Acronym zeepy
Name zee pyramid,
heptacross pyramid,
vertex pyramid of ek
Circumradius 1/sqrt(2) = 0.707107
Dihedral angles
  • at hop between oca and oca:   arccos(-3/4) = 138.590378°
  • at hop between oca and zee:   arccos(1/sqrt(8)) = 69.295189°
Confer
uniform relative:
ek  
general polytopal classes:
segmentozetta   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

ox3oo3oo3oo3oo3oo4oo&#x   → height = 1/sqrt(2) = 0.707107
(pt || zee)

o.3o.3o.3o.3o.3o.4o.    | 1  *  14  * | 84   0 | 280   0 | 560   0 | 672   0 | 448   0 | 128 0
.o3.o3.o3.o3.o3.o4.o    | * 14   1 12 | 12  60 |  60 160 | 160 240 | 240 192 | 192  64 |  64 1
------------------------+------+-------+--------+---------+---------+---------+---------+------
oo3oo3oo3oo3oo3oo4oo&#x | 1  1 | 14  *  12   0 |  60   0 | 160   0 | 240   0 | 192   0 |  64 0
.x .. .. .. .. .. ..    | 0  2 |  * 84   1  10 |  10  40 |  40  80 |  80  80 |  80  32 |  32 1
------------------------+------+-------+--------+---------+---------+---------+---------+------
ox .. .. .. .. .. ..&#x | 1  2 |  2  1 | 84   *   10   0 |  40   0 |  80   0 |  80   0 |  32 0
.x3.o .. .. .. .. ..    | 0  3 |  0  3 |  * 280    1   8 |   8  24 |  24  32 |  32  16 |  16 1
------------------------+------+-------+--------+---------+---------+---------+---------+------
ox3oo .. .. .. .. ..&#x  1  3 |  3  3 |  3   1 | 280   *    8   0 |  24   0 |  32   0 |  16 0
.x3.o3.o .. .. .. ..     0  4 |  0  6 |  0   4 |   * 560    1   6 |   6  12 |  12   8 |   8 1
------------------------+------+-------+--------+---------+---------+---------+---------+------
ox3oo3oo .. .. .. ..&#x  1  4 |  4  6 |  6   4 |   4   1 | 560   *    6   0 |  12   0 |   8 0
.x3.o3.o3.o .. .. ..     0  5 |  0 10 |  0  10 |   0   5 |   * 672    1   4 |   4   4 |   4 1
------------------------+------+-------+--------+---------+---------+---------+---------+------
ox3oo3oo3oo .. .. ..&#x  1  5 |  5 10 | 10  10 |  10   5 |   5   1 | 672   * |   4   0 |   4 0
.x3.o3.o3.o3.o .. ..     0  6 |  0 15 |  0  20 |   0  15 |   0   6 |   * 448 |   1   2 |   2 1
------------------------+------+-------+--------+---------+---------+---------+---------+------
ox3oo3oo3oo3oo .. ..&#x  1  6 |  6 15 | 15  20 |  20  15 |  15   6 |   6   1 | 448   * |   2 0
.x3.o3.o3.o3.o3.o ..     0  7 |  0 21 |  0  35 |   0  35 |   0  21 |   0   7 |   * 128 |   1 1
------------------------+------+-------+--------+---------+---------+---------+---------+------
ox3oo3oo3oo3oo3oo ..&#x  1  7 |  7 21 | 21  35 |  35  35 |  35  21 |  21   7 |   7   1 | 128 *
.x3.o3.o3.o3.o3.o4.o     0 14 |  0 84 |  0 280 |   0 560 |   0 672 |   0 448 |   0 128 |   * 1

oo3oo3oo *b3oo3oo3oo3ox&#x   → height = 1/sqrt(2) = 0.707107
(pt || zee)

o.3o.3o. *b.3o.3o.3o.4o.   | 1  *  14  * | 84   0 | 280   0 | 560   0 | 672   0 | 448  0  0 | 64 64 0
.o3.o3.o *b3.o3.o3.o4.o    | * 14   1 12 | 12  60 |  60 160 | 160 240 | 240 192 | 192 32 32 | 32 32 1
---------------------------+------+-------+--------+---------+---------+---------+-----------+--------
oo3oo3oo *b3oo3oo3oo3oo&#x | 1  1 | 14  *  12   0 |  60   0 | 160   0 | 240   0 | 192  0  0 | 32 32 0
.. .. ..    .. .. .. .x    | 0  2 |  * 84   1  10 |  10  40 |  40  80 |  80  80 |  80 16 16 | 16 16 1
---------------------------+------+-------+--------+---------+---------+---------+-----------+--------
.. .. ..    .. .. .. ox&#x | 1  2 |  2  1 | 84   *   10   0 |  40   0 |  80   0 |  80  0  0 | 16 16 0
.. .. ..    .. .. .o3.x    | 0  3 |  0  3 |  * 280    1   8 |   8  24 |  24  32 |  32  8  8 |  8  8 1
---------------------------+------+-------+--------+---------+---------+---------+-----------+--------
.. .. ..    .. .. oo3ox&#x  1  3 |  3  3 |  3   1 | 280   *    8   0 |  24   0 |  32  0  0 |  8  8 0
.. .. ..    .. .o3.o3.x     0  4 |  0  6 |  0   4 |   * 560    1   6 |   6  12 |  12  4  4 |  4  4 1
---------------------------+------+-------+--------+---------+---------+---------+-----------+--------
.. .. ..    .. oo3oo3ox&#x  1  4 |  4  6 |  6   4 |   4   1 | 560   *    6   0 |  12  0  0 |  4  4 0
.. .. ..    .o3.o3.o3.x     0  5 |  0 10 |  0  10 |   0   5 |   * 672    1   4 |   4  2  2 |  2  2 1
---------------------------+------+-------+--------+---------+---------+---------+-----------+--------
.. .. ..    oo3oo3oo3ox&#x  1  5 |  5 10 | 10  10 |  10   5 |   5   1 | 672   * |   4  0  0 |  2  2 0
.. .o .. *b3.o3.o3.o3.x     0  6 |  0 15 |  0  20 |   0  15 |   0   6 |   * 448 |   1  1  1 |  1  1 1
---------------------------+------+-------+--------+---------+---------+---------+-----------+--------
.. oo .. *b3oo3oo3oo3ox&#x  1  6 |  6 15 | 15  20 |  20  15 |  15   6 |   6   1 | 448  *  * |  1  1 0
.o3.o .. *b3.o3.o3.o3.x     0  7 |  0 21 |  0  35 |   0  35 |   0  21 |   0   7 |   * 64  * |  1  0 1
.. .o3.o *b3.o3.o3.o3.x     0  7 |  0 21 |  0  35 |   0  35 |   0  21 |   0   7 |   *  * 64 |  0  1 1
---------------------------+------+-------+--------+---------+---------+---------+-----------+--------
oo3oo .. *b3oo3oo3oo3ox&#x  1  7 |  7 21 | 21  35 |  35  35 |  35  21 |  21   7 |   7  1  0 | 64  * *
.. oo3oo *b3oo3oo3oo3ox&#x  1  7 |  7 21 | 21  35 |  35  35 |  35  21 |  21   7 |   7  0  1 |  * 64 *
.o3.o3.o *b3.o3.o3.o3.x     0 14 |  0 84 |  0 280 |   0 560 |   0 672 |   0 448 |   0 64 64 |  *  * 1

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