Acronym opepy
Name octahedral-prismatic pyramid,
vertex pyramid of rectified triacontiditeron
Circumradius 1
Lace city
in approx. ASCII-art
o   O              
            O=oct
O           o=point
Confer
uniform relative:
rat  
related segmentotera:
squippyippy  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

ox ox3oo4oo&#x   → height = 1/2
(pt || ope)

o. o.3o.4o.    | 1  *  12 0  0 | 6 24  0  0 | 12 16 0 0 | 8 2 0
.o .o3.o4.o    | * 12 |  1 1  4 | 1  4  4  4 |  4  4 4 1 | 4 1 1
---------------+------+---------+------------+-----------+------
oo oo3oo4oo&#x | 1  1 | 12 *  *  1  4  0  0 |  4  4 0 0 | 4 1 0
.x .. .. ..    | 0  2 |  * 6  * | 1  0  4  0 |  4  0 4 0 | 4 0 1
.. .x .. ..    | 0  2 |  * * 24 | 0  1  1  2 |  1  2 2 1 | 2 1 1
---------------+------+---------+------------+-----------+------
ox .. .. ..&#x | 1  2 |  2 1  0 | 6  *  *  * |  4  0 0 0 | 4 0 0
.. ox .. ..&#x | 1  2 |  2 0  1 | * 24  *  * |  1  2 0 0 | 2 1 0
.x .x .. ..    | 0  4 |  0 2  2 | *  * 12  * |  1  0 2 0 | 2 0 1
.. .x3.o ..    | 0  3 |  0 0  3 | *  *  * 16 |  0  1 1 1 | 1 1 1
---------------+------+---------+------------+-----------+------
ox ox .. ..&#x  1  4 |  4 2  2 | 2  2  1  0 | 12  * * * | 2 0 0
.. ox3oo ..&#x  1  3 |  3 0  3 | 0  3  0  1 |  * 16 * * | 1 1 0
.x .x3.o ..     0  6 |  0 3  6 | 0  0  3  2 |  *  * 8 * | 1 0 1
.. .x3.o4.o     0  6 |  0 0 12 | 0  0  0  8 |  *  * * 2 | 0 1 1
---------------+------+---------+------------+-----------+------
ox ox3oo ..&#x  1  6 |  6 3  6 | 3  6  3  2 |  3  2 1 0 | 8 * *
.. ox3oo4oo&#x  1  6 |  6 0 12 | 0 12  0  8 |  0  8 0 1 | * 2 *
.x .x3.o4.o     0 12 |  0 6 24 | 0  0 12 16 |  0  0 8 2 | * * 1

ox oo3ox3oo&#x   → height = 1/2
(pt || ope)

o. o.3o.3o.    | 1  *  12 0  0 | 6 24  0 0 0 | 12 8 8 0 0 0 | 4 4 2 0
.o .o3.o3.o    | * 12 |  1 1  4 | 1  4  4 2 2 |  4 2 2 2 2 1 | 2 2 1 1
---------------+------+---------+-------------+--------------+--------
oo oo3oo3oo&#x | 1  1 | 12 *  *  1  4  0 0 0 |  4 2 2 0 0 0 | 2 2 1 0
.x .. .. ..    | 0  2 |  * 6  * | 1  0  4 0 0 |  4 0 0 2 2 0 | 2 2 0 1
.. .. .x ..    | 0  2 |  * * 24 | 0  1  1 1 1 |  1 1 1 1 1 1 | 1 1 1 1
---------------+------+---------+-------------+--------------+--------
ox .. .. ..&#x | 1  2 |  2 1  0 | 6  *  * * * |  4 0 0 0 0 0 | 2 2 0 0
.. .. ox ..&#x | 1  2 |  2 0  1 | * 24  * * * |  1 1 1 0 0 0 | 1 1 1 0
.x .. .x ..    | 0  4 |  0 2  2 | *  * 12 * * |  1 0 0 1 1 0 | 1 1 0 1
.. .o3.x ..    | 0  3 |  0 0  3 | *  *  * 8 * |  0 1 0 1 0 1 | 1 0 1 1
.. .. .x3.o    | 0  3 |  0 0  3 | *  *  * * 8 |  0 0 1 0 1 1 | 0 1 1 1
---------------+------+---------+-------------+--------------+--------
ox .. ox ..&#x  1  4 |  4 2  2 | 2  2  1 0 0 | 12 * * * * * | 1 1 0 0
.. oo3ox ..&#x  1  3 |  3 0  3 | 0  3  0 1 0 |  * 8 * * * * | 1 0 1 0
.. .. ox3oo&#x  1  3 |  3 0  3 | 0  3  0 0 1 |  * * 8 * * * | 0 1 1 0
.x .o3.x ..     0  6 |  0 3  6 | 0  0  3 2 0 |  * * * 4 * * | 1 0 0 1
.x .. .x3.o     0  6 |  0 3  6 | 0  0  3 0 2 |  * * * * 4 * | 0 1 0 1
.. .o3.x3.o     0  6 |  0 0 12 | 0  0  0 4 4 |  * * * * * 2 | 0 0 1 1
---------------+------+---------+-------------+--------------+--------
ox oo3ox ..&#x  1  6 |  6 3  6 | 3  6  3 2 0 |  3 2 0 1 0 0 | 4 * * *
ox .. ox3oo&#x  1  6 |  6 3  6 | 3  6  3 0 2 |  3 0 2 0 1 0 | * 4 * *
.. oo3ox3oo&#x  1  6 |  6 0 12 | 0 12  0 4 4 |  0 4 4 0 0 1 | * * 2 *
.x .o3.x3.o     0 12 |  0 6 24 | 0  0 12 8 8 |  0 0 0 4 4 2 | * * * 1

oxx3ooo4ooo&#x   → height(1,2) = height(1,3) = 1/sqrt(2) = 0.707107
                   height(2,3) = 1

... 

ooo3oxx3ooo&#x   → height(1,2) = height(1,3) = 1/sqrt(2) = 0.707107
                   height(2,3) = 1

... 

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