Acronym opeacope
Name ope atop cope,
octaco-prism,
ope-first half of icope
Circumradius sqrt(5)/2 = 1.118034
Lace city
in approx. ASCII-art
    o3x x   x3o x    		-- x3o4o x (ope)
                     
                     
x3o x   x3x x   o3x x		-- o3x4o x (cope)
o4o x  x4o x  o4o x		-- x3o4o x (ope)
                   
                   
                   
x4o x  o4q x  x4o x		-- o3x4o x (cope)
o3x3o   o3x3o		-- x3o4o x (ope)
             
             
x3o3x   x3o3x		-- o3x4o x (cope)
x3o4o   x3o4o		-- x3o4o x (ope)
             
             
o3x4o   o3x4o		-- o3x4o x (cope)
Confer
uniform relative:
icope  
related segmentotera:
trawp  
general polytopal classes:
segmentotera   lace simplices  

Incidence matrix according to Dynkin symbol

xx ox3xo3ox&#x   → height = 1/sqrt(2) = 0.707107
(ope || cope)

o. o.3o.3o.    | 12  * | 1  4  4  0  0  0 |  4 2 2  4  2  4  2  0  0 0  0 0 | 2 2 1  2  4  2 2  1 2 0 0 0 0 | 1 2 1 2 1 0
.o .o3.o3.o    |  * 24 | 0  0  2  1  2  2 |  0 0 0  2  2  1  2  2  2 1  2 1 | 0 0 0  2  1  2 1  2 1 1 2 1 1 | 0 1 2 1 1 1
---------------+-------+------------------+---------------------------------+-------------------------------+------------
x. .. .. ..    |  2  0 | 6  *  *  *  *  * |  4 0 0  4  0  0  0  0  0 0  0 0 | 2 2 0  2  4  2 0  0 0 0 0 0 0 | 1 2 1 2 0 0
.. .. x. ..    |  2  0 | * 24  *  *  *  * |  1 1 1  0  0  1  0  0  0 0  0 0 | 1 1 1  0  1  0 1  0 1 0 0 0 0 | 1 1 0 1 1 0
oo oo3oo3oo&#x |  1  1 | *  * 48  *  *  * |  0 0 0  1  1  1  1  0  0 0  0 0 | 0 0 0  1  1  1 1  1 1 0 0 0 0 | 0 1 1 1 1 0
.x .. .. ..    |  0  2 | *  *  * 12  *  * |  0 0 0  2  0  0  0  2  2 0  0 0 | 0 0 0  2  1  2 0  0 0 1 2 1 0 | 0 1 2 1 0 1
.. .x .. ..    |  0  2 | *  *  *  * 24  * |  0 0 0  0  1  0  0  1  0 1  1 0 | 0 0 0  1  0  0 1  1 0 1 1 0 1 | 0 1 1 0 1 1
.. .. .. .x    |  0  2 | *  *  *  *  * 24 |  0 0 0  0  0  0  1  0  1 0  1 1 | 0 0 0  0  0  1 0  1 1 0 1 1 1 | 0 0 1 1 1 1
---------------+-------+------------------+---------------------------------+-------------------------------+------------
x. .. x. ..    |  4  0 | 2  2  0  0  0  0 | 12 * *  *  *  *  *  *  * *  * * | 1 1 0  0  1  0 0  0 0 0 0 0 0 | 1 1 0 1 0 0
.. o.3x. ..    |  3  0 | 0  3  0  0  0  0 |  * 8 *  *  *  *  *  *  * *  * * | 1 0 1  0  0  0 1  0 0 0 0 0 0 | 1 1 0 0 1 0
.. .. x.3o.    |  3  0 | 0  3  0  0  0  0 |  * * 8  *  *  *  *  *  * *  * * | 0 1 1  0  0  0 0  0 1 0 0 0 0 | 1 0 0 1 1 0
xx .. .. ..&#x |  2  2 | 1  0  2  1  0  0 |  * * * 24  *  *  *  *  * *  * * | 0 0 0  1  1  1 0  0 0 0 0 0 0 | 0 1 1 1 0 0
.. ox .. ..&#x |  1  2 | 0  0  2  0  1  0 |  * * *  * 24  *  *  *  * *  * * | 0 0 0  1  0  0 1  1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. xo ..&#x |  2  1 | 0  1  2  0  0  0 |  * * *  *  * 24  *  *  * *  * * | 0 0 0  0  1  0 1  0 1 0 0 0 0 | 0 1 0 1 1 0
.. .. .. ox&#x |  1  2 | 0  0  2  0  0  1 |  * * *  *  *  * 24  *  * *  * * | 0 0 0  0  0  1 0  1 1 0 0 0 0 | 0 0 1 1 1 0
.x .x .. ..    |  0  4 | 0  0  0  2  2  0 |  * * *  *  *  *  * 12  * *  * * | 0 0 0  1  0  0 0  0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .. .x    |  0  4 | 0  0  0  2  0  2 |  * * *  *  *  *  *  * 12 *  * * | 0 0 0  0  0  1 0  0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x3.o ..    |  0  3 | 0  0  0  0  3  0 |  * * *  *  *  *  *  *  * 8  * * | 0 0 0  0  0  0 1  0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x .. .x    |  0  4 | 0  0  0  0  2  2 |  * * *  *  *  *  *  *  * * 12 * | 0 0 0  0  0  0 0  1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .o3.x    |  0  3 | 0  0  0  0  0  3 |  * * *  *  *  *  *  *  * *  * 8 | 0 0 0  0  0  0 0  0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-------+------------------+---------------------------------+-------------------------------+------------
x. o.3x. ..      6  0 | 3  6  0  0  0  0 |  3 2 0  0  0  0  0  0  0 0  0 0 | 4 * *  *  *  * *  * * * * * * | 1 1 0 0 0 0
x. .. x.3o.      6  0 | 3  6  0  0  0  0 |  3 0 2  0  0  0  0  0  0 0  0 0 | * 4 *  *  *  * *  * * * * * * | 1 0 0 1 0 0
.. o.3x.3o.      6  0 | 0 12  0  0  0  0 |  0 4 4  0  0  0  0  0  0 0  0 0 | * * 2  *  *  * *  * * * * * * | 1 0 0 0 1 0
xx ox .. ..&#x   2  4 | 1  0  4  2  2  0 |  0 0 0  2  2  0  0  1  0 0  0 0 | * * * 12  *  * *  * * * * * * | 0 1 1 0 0 0
xx .. xo ..&#x   4  2 | 2  2  4  1  0  0 |  1 0 0  2  0  2  0  0  0 0  0 0 | * * *  * 12  * *  * * * * * * | 0 1 0 1 0 0
xx .. .. ox&#x   2  4 | 1  0  4  2  0  2 |  0 0 0  2  0  0  2  0  1 0  0 0 | * * *  *  * 12 *  * * * * * * | 0 0 1 1 0 0
.. ox3xo ..&#x   3  3 | 0  3  6  0  3  0 |  0 1 0  0  3  3  0  0  0 1  0 0 | * * *  *  *  * 8  * * * * * * | 0 1 0 0 1 0
.. ox .. ox&#x   1  4 | 0  0  4  0  2  2 |  0 0 0  0  2  0  2  0  0 0  1 0 | * * *  *  *  * * 12 * * * * * | 0 0 1 0 1 0
.. .. xo3ox&#x   3  3 | 0  3  6  0  0  3 |  0 0 1  0  0  3  3  0  0 0  0 1 | * * *  *  *  * *  * 8 * * * * | 0 0 0 1 1 0
.x .x3.o ..      0  6 | 0  0  0  3  6  0 |  0 0 0  0  0  0  0  3  0 2  0 0 | * * *  *  *  * *  * * 4 * * * | 0 1 0 0 0 1
.x .x .. .x      0  8 | 0  0  0  4  4  4 |  0 0 0  0  0  0  0  2  2 0  2 0 | * * *  *  *  * *  * * * 6 * * | 0 0 1 0 0 1
.x .. .o3.x      0  6 | 0  0  0  3  0  6 |  0 0 0  0  0  0  0  0  3 0  0 2 | * * *  *  *  * *  * * * * 4 * | 0 0 0 1 0 1
.. .x3.o3.x      0 12 | 0  0  0  0 12 12 |  0 0 0  0  0  0  0  0  0 4  6 4 | * * *  *  *  * *  * * * * * 2 | 0 0 0 0 1 1
---------------+-------+------------------+---------------------------------+-------------------------------+------------
x. o.3x.3o.     12  0 | 6 24  0  0  0  0 | 12 8 8  0  0  0  0  0  0 0  0 0 | 4 4 2  0  0  0 0  0 0 0 0 0 0 | 1 * * * * *
xx ox3xo ..&#x   6  6 | 3  6 12  3  6  0 |  3 2 0  6  6  6  0  3  0 2  0 0 | 1 0 0  3  3  0 2  0 0 1 0 0 0 | * 4 * * * *
xx ox .. ox&#x   2  8 | 1  0  8  4  4  4 |  0 0 0  4  4  0  4  2  2 0  2 0 | 0 0 0  2  0  2 0  2 0 0 1 0 0 | * * 6 * * *
xx .. xo3ox&#x   6  6 | 3  6 12  3  0  6 |  3 0 2  6  0  6  6  0  3 0  0 2 | 0 1 0  0  3  3 0  0 2 0 0 1 0 | * * * 4 * *
.. ox3xo3ox&#x   6 12 | 0 12 24  0 12 12 |  0 4 4  0 12 12 12  0  0 4  6 4 | 0 0 1  0  0  0 4  6 4 0 0 0 1 | * * * * 2 *
.x .x3.o3.x      0 24 | 0  0  0 12 24 24 |  0 0 0  0  0  0  0 12 12 8 12 8 | 0 0 0  0  0  0 0  0 0 4 6 4 2 | * * * * * 1

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