Acronym tacpyp
Name triacontaditeric-pyramid prism,
edge-first rotunda of geep
Circumradius sqrt(3)/2 = 0.866025
Lace city
in approx. ASCII-art 
    x    		where:
         		x = x o3o3o4o (line)
x   H   x		H = x x3o3o4o (hexip)
Coordinates
  1. (1/2; 0, 0, 0, 0, 0; 1/sqrt(2))   & changes of sign in first coordinate
    top edge
  2. (1/2; 1/sqrt(2), 0, 0, 0, 0; 0)   & permutations in all but first and last coordinate, all changes of sign
    taccup base
Volume 1/180 = 0.0055556
Dihedral angles
Face vector 22, 111, 290, 440, 384, 178, 35
Confer
uniform relative:
geep  
general polytopal classes:
segmentoexa  

Incidence matrix according to Dynkin symbol

xx xo3oo3oo3oo *d3oo&#x   → height = 1/sqrt(2) = 0.707107
(line || taccup)

o. o.3o.3o.3o. *d3o.    | 2  * | 1 10  0  0 | 10 40  0   0 | 40  80  0   0 | 80  80  0  0  0 | 80 16 16  0  0 0 | 16 16 1 0
.o .o3.o3.o3.o *d3.o    | * 20 | 0  1  1  8 |  1  8  8  24 |  8  24 24  32 | 24  32 32  8  8 | 32  8  8  8  8 1 |  8  8 1 1
------------------------+------+------------+--------------+---------------+-----------------+------------------+----------
x. .. .. .. ..    ..    | 2  0 | 1  *  *  * ♦ 10  0  0   0 | 40   0  0   0 | 80   0  0  0  0 | 80  0  0  0  0 0 | 16 16 0 0
oo oo3oo3oo3oo *d3oo&#x | 1  1 | * 20  *  * |  1  8  0   0 |  8  24  0   0 | 24  32  0  0  0 | 32  8  8  0  0 0 |  8  8 1 0
.x .. .. .. ..    ..    | 0  2 | *  * 10  * ♦  1  0  8   0 |  8   0 24   0 | 24   0 32  0  0 | 32  0  0  8  8 0 |  8  8 0 1
.. .x .. .. ..    ..    | 0  2 | *  *  * 80 |  0  1  1   6 |  1   6  6  12 |  6  12 12  4  4 | 12  4  4  4  4 1 |  4  4 1 1
------------------------+------+------------+--------------+---------------+-----------------+------------------+----------
xx .. .. .. ..    ..&#x | 2  2 | 1  2  1  0 | 10  *  *   * ♦  8   0  0   0 | 24   0  0  0  0 | 32  0  0  0  0 0 |  8  8 0 0
.. ox .. .. ..    ..&#x | 1  2 | 0  2  0  1 |  * 80  *   * |  1   6  0   0 |  6  12  0  0  0 | 12  4  4  0  0 0 |  4  4 1 0
.x .x .. .. ..    ..    | 0  4 | 0  0  2  2 |  *  * 40   * ♦  1   0  6   0 |  6   0 12  0  0 | 12  0  0  4  4 0 |  4  4 0 1
.. .x3.o .. ..    ..    | 0  3 | 0  0  0  3 |  *  *  * 160 |  0   1  1   4 |  1   4  4  2  2 |  4  2  2  2  2 1 |  2  2 1 1
------------------------+------+------------+--------------+---------------+-----------------+------------------+----------
xx ox .. .. ..    ..&#x ♦ 2  4 | 1  4  2  2 |  2  2  1   0 | 40   *  *   * ♦  6   0  0  0  0 | 12  0  0  0  0 0 |  4  4 0 0
.. ox3oo .. ..    ..&#x ♦ 1  3 | 0  3  0  3 |  0  3  0   1 |  * 160  *   * |  1   4  0  0  0 |  4  2  2  0  0 0 |  2  2 1 0
.x .x3.o .. ..    ..    ♦ 0  6 | 0  0  3  6 |  0  0  3   2 |  *   * 80   * ♦  1   0  4  0  0 |  4  0  0  2  2 0 |  2  2 0 1
.. .x3.o3.o ..    ..    ♦ 0  4 | 0  0  0  6 |  0  0  0   4 |  *   *  * 160 |  0   1  1  1  1 |  1  1  1  1  1 1 |  1  1 1 1
------------------------+------+------------+--------------+---------------+-----------------+------------------+----------
xx ox3oo .. ..    ..&#x ♦ 2  6 | 1  6  3  6 |  3  6  3   2 |  3   2  1   0 | 80   *  *  *  * |  4  0  0  0  0 0 |  2  2 0 0
.. ox3oo3oo ..    ..&#x ♦ 1  4 | 0  4  0  6 |  0  6  0   4 |  0   4  0   1 |  * 160  *  *  * |  1  1  1  0  0 0 |  1  1 1 0
.x .x3.o3.o ..    ..    ♦ 0  8 | 0  0  4 12 |  0  0  6   8 |  0   0  4   2 |  *   * 80  *  * |  1  0  0  1  1 0 |  1  1 0 1
.. .x3.o3.o3.o    ..    ♦ 0  5 | 0  0  0 10 |  0  0  0  10 |  0   0  0   5 |  *   *  * 32  * |  0  1  0  1  0 1 |  1  0 1 1
.. .x3.o3.o .. *d3.o    ♦ 0  5 | 0  0  0 10 |  0  0  0  10 |  0   0  0   5 |  *   *  *  * 32 |  0  0  1  0  1 1 |  0  1 1 1
------------------------+------+------------+--------------+---------------+-----------------+------------------+----------
xx ox3oo3oo ..    ..&#x ♦ 2  8 | 1  8  4 12 |  4 12  6   8 |  6   8  4   2 |  4   2  1  0  0 | 80  *  *  *  * * |  1  1 0 0
.. ox3oo3oo3oo    ..&#x ♦ 1  5 | 0  5  0 10 |  0 10  0  10 |  0  10  0   5 |  0   5  0  1  0 |  * 32  *  *  * * |  1  0 1 0
.. ox3oo3oo .. *d3oo&#x ♦ 1  5 | 0  5  0 10 |  0 10  0  10 |  0  10  0   5 |  0   5  0  0  1 |  *  * 32  *  * * |  0  1 1 0
.x .x3.o3.o3.o    ..    ♦ 0 10 | 0  0  5 20 |  0  0 10  20 |  0   0 10  10 |  0   0  5  2  0 |  *  *  * 16  * * |  1  0 0 1
.x .x3.o3.o .. *d3.o    ♦ 0 10 | 0  0  5 20 |  0  0 10  20 |  0   0 10  10 |  0   0  5  0  2 |  *  *  *  * 16 * |  0  1 0 1
.. .x3.o3.o3.o *d3.o    ♦ 0 10 | 0  0  0 40 |  0  0  0  80 |  0   0  0  80 |  0   0  0 16 16 |  *  *  *  *  * 2 |  0  0 1 1
------------------------+------+------------+--------------+---------------+-----------------+------------------+----------
xx ox3oo3oo3oo    ..&#x ♦ 2 10 | 1 10  5 20 |  5 20 10  20 | 10  20 10  10 | 10  10  5  2  0 |  5  2  0  1  0 0 | 16  * * *
xx ox3oo3oo .. *d3oo&#x ♦ 2 10 | 1 10  5 20 |  5 20 10  20 | 10  20 10  10 | 10  10  5  0  2 |  5  0  2  0  1 0 |  * 16 * *
.. ox3oo3oo3oo *d3oo&#x ♦ 1 10 | 0 10  0 40 |  0 40  0  80 |  0  80  0  80 |  0  80  0 16 16 |  0 16 16  0  0 1 |  *  * 2 *
.x .x3.o3.o3.o *d3.o    ♦ 0 20 | 0  0 10 80 |  0  0 40 160 |  0   0 80 160 |  0   0 80 32 32 |  0  0  0 16 16 2 |  *  * * 1

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