Acronym jakpy
Name icosihepta-heptacontidi-peton pyramid,
vertex-first cap of naq
Circumradius sqrt(3)/2 = 0.866025
Lace city
in approx. ASCII-art
    o          -- o3o3o3o3o *c3o  (pt)
             
T     N     o  -- x3o3o3o3o *c3o  (jak)

where:
o = o3o3o *b3o3o  (pt)
T = o3o3o *b3o3x  (tac)
N = x3o3o *b3o3o  (hin)
Confer
uniform relative:
naq  
related segmentoexa:
hinsc  
general polytopal classes:
segmentoexa   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

ox3oo3oo3oo3oo *c3oo&#xt   → height = 1/sqrt(3) = 0.577350
(pt || jak)

o.3o.3o.3o.3o. *c3o.    | 1  *  27   0 | 216   0 | 720    0 | 1080   0   0 | 432 216  0  0 | 72 27 0
.o3.o3.o3.o3.o *c3.o    | * 27   1  16 |  16  80 |  80  160 |  160  80  40 |  80  40 16 10 | 16 10 1
------------------------+------+--------+---------+----------+--------------+---------------+--------
oo3oo3oo3oo3oo *c3oo&#x | 1  1 | 27   *   16   0 |  80    0 |  160   0   0 |  80  40  0  0 | 16 10 0
.x .. .. .. ..    ..    | 0  2 |  * 216    1  10 |  10   30 |   30  20  10 |  20  10  5  5 |  5  5 1
------------------------+------+--------+---------+----------+--------------+---------------+--------
ox .. .. .. ..    ..&#x | 1  2 |  2   1 | 216   *   10    0 |   30   0   0 |  20  10  0  0 |  5  5 0
.x3.o .. .. ..    ..    | 0  3 |  0   3 |   * 720    1    6 |    6   6   3 |   6   3  2  3 |  2  3 1
------------------------+------+--------+---------+----------+--------------+---------------+--------
ox3oo .. .. ..    ..&#x  1  3 |  3   3 |   3   1 | 720    *     6   0   0 |   6   3  0  0 |  2  3 0
.x3.o3.o .. ..    ..     0  4 |  0   6 |   0   4 |   * 1080 |    1   2   1 |   2   1  1  2 |  1  2 1
------------------------+------+--------+---------+----------+--------------+---------------+--------
ox3oo3oo .. ..    ..&#x  1  4 |  4   6 |   6   4 |   4    1 | 1080   *   * |   2   1  0  0 |  1  2 0
.x3.o3.o3.o ..    ..     0  5 |  0  10 |   0  10 |   0    5 |    * 432   * |   1   0  1  1 |  1  1 1
.x3.o3.o .. .. *c3.o     0  5 |  0  10 |   0  10 |   0    5 |    *   * 216 |   0   1  0  2 |  0  2 1
------------------------+------+--------+---------+----------+--------------+---------------+--------
ox3oo3oo3oo ..    ..&#x  1  5 |  5  10 |  10  10 |  10    5 |    5   1   0 | 432   *  *  * |  1  1 0
ox3oo3oo .. .. *c3oo&#x  1  5 |  5  10 |  10  10 |  10    5 |    5   0   1 |   * 216  *  * |  0  2 0
.x3.o3.o3.o3.o    ..     0  6 |  0  15 |   0  20 |   0   15 |    0   6   0 |   *   * 72  * |  1  0 1
.x3.o3.o3.o .. *c3.o     0 10 |  0  40 |   0  80 |   0   80 |    0  16  16 |   *   *  * 27 |  0  1 1
------------------------+------+--------+---------+----------+--------------+---------------+--------
ox3oo3oo3oo3oo    ..&#x  1  6 |  6  15 |  15  20 |  20   15 |   15   6   0 |   6   0  1  0 | 72  * *
ox3oo3oo3oo .. *c3oo&#x  1 10 | 10  40 |  40  80 |  80   80 |   80  16  16 |  16  16  0  1 |  * 27 *
.x3.o3.o3.o3.o *c3.o     0 27 |  0 216 |   0 720 |   0 1080 |    0 432 216 |   0   0 72 27 |  *  * 1

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