Acronym pentanit
Name pent atop nit
Circumradius (155 sqrt(5)-236)/90 = 1.228783
Lace city
in approx. ASCII-art
    o3o3o4x     o3o3o4x    		- o3o3o3o4x (pent)
                           
o3x3o4o   o3o3x4o   o3x3o4o		- o3o3x3o4o (nit)
Confer
general polytopal classes:
segmentopeta   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

oo3oo3xo3oo4ox&#xt   → height = sqrt[6 sqrt(2)-7]/2 = 0.609361
(pent || nit)

o.3o.3o.3o.4o.    | 32  * |  5  10   0 | 10  30  20   0   0 | 10  20  10  30 10  0   0  0 |  5   5   5  20 10  0  0 | 1  1  5  5 0
.o3.o3.o3.o4.o    |  * 80 |  0   4  12 |  0  24   4  12  12 |  0  24  12  12  1  4  12  3 |  0   8  12  12  3  4  3 | 0  4  4  3 1
------------------+-------+------------+--------------------+-----------------------------+-------------------------+-------------
.. .. .. .. x.    |  2  0 | 80   *   * |  4   0   4   0   0 |  6   0   0   6  4  0   0  0 |  4   0   0   4  6  0  0 | 1  0  1  4 0
oo3oo3oo3oo4oo&#x |  1  1 |  * 320   * |  0   6   2   0   0 |  0   6   3   6  1  0   0  0 |  0   2   3   6  3  0  0 | 0  1  2  3 0
.. .. .x .. ..    |  0  2 |  *   * 480 |  0   2   0   2   2 |  0   4   2   1  0  1   4  1 |  0   2   4   2  1  2  2 | 0  2  1  2 1
------------------+-------+------------+--------------------+-----------------------------+-------------------------+-------------
.. .. .. o.4x.    |  4  0 |  4   0   0 | 80   *   *   *   * |  3   0   0   0  1  0   0  0 |  3   0   0   0  3  0  0 | 1  0  0  3 0
.. .. ox .. ..&#x |  1  2 |  0   2   1 |  * 960   *   *   * |  0   2   1   1  0  0   0  0 |  0   1   2   2  1  0  0 | 0  1  1  2 0
.. .. .. .. xo&#x |  2  1 |  1   2   0 |  *   * 320   *   * |  0   0   0   3  1  0   0  0 |  0   0   0   3  3  0  0 | 0  0  1  3 0
.. .o3.x .. ..    |  0  3 |  0   0   3 |  *   *   * 320   * |  0   2   0   0  0  1   2  0 |  0   2   2   1  0  2  1 | 0  2  1  1 1
.. .. .x3.o ..    |  0  3 |  0   0   3 |  *   *   *   * 320 |  0   0   1   0  0  0   2  1 |  0   0   2   0  1  1  2 | 0  1  0  2 1
------------------+-------+------------+--------------------+-----------------------------+-------------------------+-------------
.. .. o.3o.4x.      8  0 | 12   0   0 |  6   0   0   0   0 | 40   *   *   *  *  *   *  * |  2   0   0   0  1  0  0 | 1  0  0  2 0
.. oo3ox .. ..&#x   1  3 |  0   3   3 |  0   3   0   1   0 |  * 640   *   *  *  *   *  * |  0   1   1   1  0  0  0 | 0  1  1  1 0
.. .. ox3oo ..&#x   1  3 |  0   3   3 |  0   3   0   0   1 |  *   * 320   *  *  *   *  * |  0   0   2   0  1  0  0 | 0  1  0  2 0
.. .. ox .. xo&#x   2  2 |  1   4   1 |  0   2   2   0   0 |  *   *   * 480  *  *   *  * |  0   0   0   2  1  0  0 | 0  0  1  2 0
.. .. .. oo4xo&#x   4  1 |  4   4   0 |  1   0   4   0   0 |  *   *   *   * 80  *   *  * |  0   0   0   0  3  0  0 | 0  0  0  3 0
.o3.o3.x .. ..      0  4 |  0   0   6 |  0   0   0   4   0 |  *   *   *   *  * 80   *  * |  0   2   0   0  0  2  0 | 0  2  1  0 1
.. .o3.x3.o ..      0  6 |  0   0  12 |  0   0   0   4   4 |  *   *   *   *  *  * 160  * |  0   0   1   0  0  1  1 | 0  1  0  1 1
.. .. .x3.o4.o      0  6 |  0   0  12 |  0   0   0   0   8 |  *   *   *   *  *  *   * 40 |  0   0   0   0  1  0  2 | 0  0  0  2 1
------------------+-------+------------+--------------------+-----------------------------+-------------------------+-------------
.. o.3o.3o.4x.     16  0 | 32   0   0 | 24   0   0   0   0 |  8   0   0   0  0  0   0  0 | 10   *   *   *  *  *  * | 1  0  0  1 0
oo3oo3ox .. ..&#x   1  4 |  0   4   6 |  0   6   0   4   0 |  0   4   0   0  0  1   0  0 |  * 160   *   *  *  *  * | 0  1  1  0 0
.. oo3ox3oo ..&#x   1  6 |  0   6  12 |  0  12   0   4   4 |  0   4   4   0  0  0   1  0 |  *   * 160   *  *  *  * | 0  1  0  1 0
.. oo3ox .. xo&#x   2  3 |  1   6   3 |  0   6   3   1   0 |  0   2   0   3  0  0   0  0 |  *   *   * 320  *  *  * | 0  0  1  1 0
.. .. ox3oo4xo&#x   8  6 | 12  24  12 |  6  24  24   0   8 |  1   0   8  12  6  0   0  1 |  *   *   *   * 40  *  * | 0  0  0  2 0
.o3.o3.x3.o ..      0 10 |  0   0  30 |  0   0   0  20  10 |  0   0   0   0  0  5   5  0 |  *   *   *   *  * 32  * | 0  1  0  0 1
.. .o3.x3.o4.o      0 24 |  0   0  96 |  0   0   0  32  64 |  0   0   0   0  0  0  16  8 |  *   *   *   *  *  * 10 | 0  0  0  1 1
------------------+-------+------------+--------------------+-----------------------------+-------------------------+-------------
o.3o.3o.3o.4x.     32  0 | 80   0   0 | 80   0   0   0   0 | 40   0   0   0  0  0   0  0 | 10   0   0   0  0  0  0 | 1  *  *  * *
oo3oo3ox3oo ..&#x   1 10 |  0  10  30 |  0  30   0  20  10 |  0  20  10   0  0  5   5  0 |  0   5   5   0  0  1  0 | * 32  *  * *
oo3oo3ox .. xo&#x   2  4 |  1   8   6 |  0  12   4   4   0 |  0   8   0   6  0  1   0  0 |  0   2   0   4  0  0  0 | *  * 80  * *
.. oo3ox3oo4xo&#x  16 24 | 32  96  96 | 24 192  96  32  64 |  8  64  64  96 24  0  16  8 |  1   0  16  32  8  0  1 | *  *  * 10 *
.o3.o3.x3.o4.o      0 80 |  0   0 480 |  0   0   0 320 320 |  0   0   0   0  0 80 160 40 |  0   0   0   0  0 32 10 | *  *  *  * 1

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