Acronym dottaspix
Name dodecateron atop small prismated hexateron,
dot-first cap of birectified hexacontitetrapeton
Circumradius sqrt(3/2) = 1.224745
Lace city
in approx. ASCII-art
  r    R   
           
s    S    r

where:
R - o3o3x3o (rap)
r - o3x3o3o (inv rap)
S - o3x3o3x (srip)
s - x3o3o3x (spid)
Confer
uniform relative:
brag  
general polytopal classes:
segmentotera   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

ox3oo3xo3ox3oo&#x   → height = 1/sqrt(3) = 0.577350
(dot || spix)

o.3o.3o.3o.3o.    | 20  * |  9   9  0   0 |  9  9   9  18   9  0   0   0  0 |  3  9  3  3  9   9  9  18  3  0  0  0  0  0  0 | 3 3  3  3  9  3  9  6 0  0  0 0 | 1 3  1  3 3 0
.o3.o3.o3.o3.o    |  * 60 |  0   3  3   6 |  0  0   6   3   6  3  12   6  3 |  0  0  0  3  3  12  1   6  3  1  6  6  6  2  3 | 0 0  1  6  6  6  2  3 2  3  3 1 | 0 2  3  3 1 1
------------------+-------+---------------+---------------------------------+------------------------------------------------+---------------------------------+--------------
.. .. x. .. ..    |  2  0 | 90   *  *   * |  2  2   0   2   0  0   0   0  0 |  1  4  1  0  1   0  2   4  0  0  0  0  0  0  0 | 2 2  1  0  2  0  4  2 0  0  0 0 | 1 2  0  1 2 0
oo3oo3oo3oo3oo&#x |  1  1 |  * 180  *   * |  0  0   2   2   2  0   0   0  0 |  0  0  0  1  2   4  1   4  1  0  0  0  0  0  0 | 0 0  1  2  4  2  2  2 0  0  0 0 | 0 2  1  2 1 0
.x .. .. .. ..    |  0  2 |  *   * 90   * |  0  0   2   0   0  2   4   0  0 |  0  0  0  2  1   4  0   0  0  1  4  2  2  0  0 | 0 0  1  4  2  2  0  0 2  2  1 0 | 0 2  2  1 0 1
.. .. .. .x ..    |  0  2 |  *   *  * 180 |  0  0   0   0   1  0   2   2  1 |  0  0  0  0  0   2  0   2  1  0  1  2  2  1  2 | 0 0  0  1  2  2  1  2 1  1  2 1 | 0 1  1  2 1 1
------------------+-------+---------------+---------------------------------+------------------------------------------------+---------------------------------+--------------
.. o.3x. .. ..    |  3  0 |  3   0  0   0 | 60  *   *   *   *  *   *   *  * |  1  2  0  0  0   0  1   0  0  0  0  0  0  0  0 | 2 1  1  0  0  0  2  0 0  0  0 0 | 1 2  0  0 1 0
.. .. x.3o. ..    |  3  0 |  3   0  0   0 |  * 60   *   *   *  *   *   *  * |  0  2  1  0  0   0  0   2  0  0  0  0  0  0  0 | 1 2  0  0  1  0  2  2 0  0  0 0 | 1 1  0  1 2 0
ox .. .. .. ..&#x |  1  2 |  0   2  1   0 |  *  * 180   *   *  *   *   *  * |  0  0  0  1  1   2  0   0  0  0  0  0  0  0  0 | 0 0  1  2  2  1  0  0 0  0  0 0 | 0 2  1  1 0 0
.. .. xo .. ..&#x |  2  1 |  1   2  0   0 |  *  *   * 180   *  *   *   *  * |  0  0  0  0  1   0  1   2  0  0  0  0  0  0  0 | 0 0  1  0  2  0  2  1 0  0  0 0 | 0 2  0  1 1 0
.. .. .. ox ..&#x |  1  2 |  0   2  0   1 |  *  *   *   * 180  *   *   *  * |  0  0  0  0  0   2  0   2  1  0  0  0  0  0  0 | 0 0  0  1  2  2  1  2 0  0  0 0 | 0 1  1  2 1 0
.x3.o .. .. ..    |  0  3 |  0   0  3   0 |  *  *   *   *   * 60   *   *  * |  0  0  0  1  0   0  0   0  0  1  2  0  0  0  0 | 0 0  1  2  0  0  0  0 2  1  0 0 | 0 2  1  0 0 1
.x .. .. .x ..    |  0  4 |  0   0  2   2 |  *  *   *   *   *  * 180   *  * |  0  0  0  0  0   1  0   0  0  0  1  1  1  0  0 | 0 0  0  1  1  1  0  0 1  1  1 0 | 0 1  1  1 0 1
.. .. .o3.x ..    |  0  3 |  0   0  0   3 |  *  *   *   *   *  *   * 120  * |  0  0  0  0  0   0  0   1  0  0  0  1  0  1  1 | 0 0  0  0  1  0  1  1 1  0  1 1 | 0 1  0  1 1 1
.. .. .. .x3.o    |  0  3 |  0   0  0   3 |  *  *   *   *   *  *   *   * 60 |  0  0  0  0  0   0  0   0  1  0  0  0  2  0  2 | 0 0  0  0  0  2  0  2 0  1  2 1 | 0 0  1  2 1 1
------------------+-------+---------------+---------------------------------+------------------------------------------------+---------------------------------+--------------
o.3o.3x. .. ..      4  0 |  6   0  0   0 |  4  0   0   0   0  0   0   0  0 | 15  *  *  *  *   *  *   *  *  *  *  *  *  *  * | 2 0  1  0  0  0  0  0 0  0  0 0 | 1 2  0  0 0 0
.. o.3x.3o. ..      6  0 | 12   0  0   0 |  4  4   0   0   0  0   0   0  0 |  * 30  *  *  *   *  *   *  *  *  *  *  *  *  * | 1 1  0  0  0  0  1  0 0  0  0 0 | 1 1  0  0 1 0
.. .. x.3o.3o.      4  0 |  6   0  0   0 |  0  4   0   0   0  0   0   0  0 |  *  * 15  *  *   *  *   *  *  *  *  *  *  *  * | 0 2  0  0  0  0  0  2 0  0  0 0 | 1 0  0  1 2 0
ox3oo .. .. ..&#x   1  3 |  0   3  3   0 |  0  0   3   0   0  1   0   0  0 |  *  *  * 60  *   *  *   *  *  *  *  *  *  *  * | 0 0  1  2  0  0  0  0 0  0  0 0 | 0 2  1  0 0 0
ox .. xo .. ..&#x   2  2 |  1   4  1   0 |  0  0   2   2   0  0   0   0  0 |  *  *  *  * 90   *  *   *  *  *  *  *  *  *  * | 0 0  1  0  2  0  0  0 0  0  0 0 | 0 2  0  1 0 0
ox .. .. ox ..&#x   1  4 |  0   4  2   2 |  0  0   2   0   2  0   1   0  0 |  *  *  *  *  * 180  *   *  *  *  *  *  *  *  * | 0 0  0  1  1  1  0  0 0  0  0 0 | 0 1  1  1 0 0
.. oo3xo .. ..&#x   3  1 |  3   3  0   0 |  1  0   0   3   0  0   0   0  0 |  *  *  *  *  *   * 60   *  *  *  *  *  *  *  * | 0 0  1  0  0  0  2  0 0  0  0 0 | 0 2  0  0 1 0
.. .. xo3ox ..&#x   3  3 |  3   6  0   3 |  0  1   0   3   3  0   0   1  0 |  *  *  *  *  *   *  * 120  *  *  *  *  *  *  * | 0 0  0  0  1  0  1  1 0  0  0 0 | 0 1  0  1 1 0
.. .. .. ox3oo&#x   1  3 |  0   3  0   3 |  0  0   0   0   3  0   0   0  1 |  *  *  *  *  *   *  *   * 60  *  *  *  *  *  * | 0 0  0  0  0  2  0  2 0  0  0 0 | 0 0  1  2 1 0
.x3.o3.o .. ..      0  4 |  0   0  6   0 |  0  0   0   0   0  4   0   0  0 |  *  *  *  *  *   *  *   *  * 15  *  *  *  *  * | 0 0  1  0  0  0  0  0 2  0  0 0 | 0 2  0  0 0 1
.x3.o .. .x ..      0  6 |  0   0  6   3 |  0  0   0   0   0  2   3   0  0 |  *  *  *  *  *   *  *   *  *  * 60  *  *  *  * | 0 0  0  1  0  0  0  0 1  1  0 0 | 0 1  1  0 0 1
.x .. .o3.x ..      0  6 |  0   0  3   6 |  0  0   0   0   0  0   3   2  0 |  *  *  *  *  *   *  *   *  *  *  * 60  *  *  * | 0 0  0  0  1  0  0  0 1  0  1 0 | 0 1  0  1 0 1
.x .. .. .x3.o      0  6 |  0   0  3   6 |  0  0   0   0   0  0   3   0  2 |  *  *  *  *  *   *  *   *  *  *  *  * 60  *  * | 0 0  0  0  0  1  0  0 0  1  1 0 | 0 0  1  1 0 1
.. .o3.o3.x ..      0  4 |  0   0  0   6 |  0  0   0   0   0  0   0   4  0 |  *  *  *  *  *   *  *   *  *  *  *  *  * 30  * | 0 0  0  0  0  0  1  0 1  0  0 1 | 0 1  0  0 1 1
.. .. .o3.x3.o      0  6 |  0   0  0  12 |  0  0   0   0   0  0   0   4  4 |  *  *  *  *  *   *  *   *  *  *  *  *  *  * 30 | 0 0  0  0  0  0  0  1 0  0  1 1 | 0 0  0  1 1 1
------------------+-------+---------------+---------------------------------+------------------------------------------------+---------------------------------+--------------
o.3o.3x.3o. ..     10  0 | 30   0  0   0 | 20 10   0   0   0  0   0   0  0 |  5  5  0  0  0   0  0   0  0  0  0  0  0  0  0 | 6 *  *  *  *  *  *  * *  *  * * | 1 1  0  0 0 0
.. o.3x.3o.3o.     10  0 | 30   0  0   0 | 10 20   0   0   0  0   0   0  0 |  0  5  5  0  0   0  0   0  0  0  0  0  0  0  0 | * 6  *  *  *  *  *  * *  *  * * | 1 0  0  0 1 0
ox3oo3xo .. ..&#x   4  4 |  6  12  6   0 |  4  0  12  12   0  4   0   0  0 |  1  0  0  4  6   0  4   0  0  1  0  0  0  0  0 | * * 15  *  *  *  *  * *  *  * * | 0 2  0  0 0 0
ox3oo .. ox ..&#x   1  6 |  0   6  6   3 |  0  0   6   0   3  2   3   0  0 |  0  0  0  2  0   3  0   0  0  0  1  0  0  0  0 | * *  * 60  *  *  *  * *  *  * * | 0 1  1  0 0 0
ox .. xo3ox ..&#x   3  6 |  3  12  3   6 |  0  1   6   6   6  0   3   2  0 |  0  0  0  0  3   3  0   2  0  0  0  1  0  0  0 | * *  *  * 60  *  *  * *  *  * * | 0 1  0  1 0 0
ox .. .. ox3oo&#x   1  6 |  0   6  3   6 |  0  0   3   0   6  0   3   0  2 |  0  0  0  0  0   3  0   0  2  0  0  0  1  0  0 | * *  *  *  * 60  *  * *  *  * * | 0 0  1  1 0 0
.. oo3xo3ox ..&#x   6  4 | 12  12  0   6 |  4  4   0  12   6  0   0   4  0 |  0  1  0  0  0   0  4   4  0  0  0  0  0  1  0 | * *  *  *  *  * 30  * *  *  * * | 0 1  0  0 1 0
.. .. xo3ox3oo&#x   4  6 |  6  12  0  12 |  0  4   0   6  12  0   0   4  4 |  0  0  1  0  0   0  0   4  4  0  0  0  0  0  1 | * *  *  *  *  *  * 30 *  *  * * | 0 0  0  1 1 0
.x3.o3.o3.x ..      0 20 |  0   0 30  30 |  0  0   0   0   0 20  30  20  0 |  0  0  0  0  0   0  0   0  0  5 10 10  0  5  0 | * *  *  *  *  *  *  * 6  *  * * | 0 1  0  0 0 1
.x3.o .. .x3.o      0  9 |  0   0  9   9 |  0  0   0   0   0  3   9   0  3 |  0  0  0  0  0   0  0   0  0  0  3  0  3  0  0 | * *  *  *  *  *  *  * * 20  * * | 0 0  1  0 0 1
.x .. .o3.x3.o      0 12 |  0   0  6  24 |  0  0   0   0   0  0  12   8  8 |  0  0  0  0  0   0  0   0  0  0  0  4  4  0  2 | * *  *  *  *  *  *  * *  * 15 * | 0 0  0  1 0 1
.. .o3.o3.x3.o      0 10 |  0   0  0  30 |  0  0   0   0   0  0   0  20 10 |  0  0  0  0  0   0  0   0  0  0  0  0  0  5  5 | * *  *  *  *  *  *  * *  *  * 6 | 0 0  0  0 1 1
------------------+-------+---------------+---------------------------------+------------------------------------------------+---------------------------------+--------------
o.3o.3x.3o.3o.     20  0 | 90   0  0   0 | 60 60   0   0   0  0   0   0  0 | 15 30 15  0  0   0  0   0  0  0  0  0  0  0  0 | 6 6  0  0  0  0  0  0 0  0  0 0 | 1 *  *  * * *
ox3oo3xo3ox ..&#x  10 20 | 30  60 30  30 | 20 10  60  60  30 20  30  20  0 |  5  5  0 20 30  30 20  20  0  5 10 10  0  5  0 | 1 0  5 10 10  0  5  0 1  0  0 0 | * 6  *  * * *
ox3oo .. ox3oo&#x   1  9 |  0   9  9   9 |  0  0   9   0   9  3   9   0  3 |  0  0  0  3  0   9  0   0  3  0  3  0  3  0  0 | 0 0  0  3  0  3  0  0 0  1  0 0 | * * 20  * * *
ox .. xo3ox3oo&#x   4 12 |  6  24  6  24 |  0  4  12  12  24  0  12   8  8 |  0  0  1  0  6  12  0   8  8  0  0  4  4  0  2 | 0 0  0  0  4  4  0  2 0  0  1 0 | * *  * 15 * *
.. oo3xo3ox3oo&#x  10 10 | 30  30  0  30 | 10 20   0  30  30  0   0  20 10 |  0  5  5  0  0   0 10  20 10  0  0  0  0  5  5 | 0 1  0  0  0  0  5  5 0  0  0 1 | * *  *  * 6 *
.x3.o3.o3.x3.o      0 60 |  0   0 90 180 |  0  0   0   0   0 60 180 120 60 |  0  0  0  0  0   0  0   0  0 15 60 60 60 30 30 | 0 0  0  0  0  0  0  0 6 20 15 6 | * *  *  * * 1

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