Acronym octatricu, oct || tricu, K-4.30
Name octahedron atop trigonal cupola,
2/6-luna of icositetrachoron
Segmentochoron display
Circumradius 1
Lace city
in approx. ASCII-art
   o3x   x3o
            
x3o   x3x   
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
Confer
related CRFs:
oct || co   squippy || tricu  
uniform relative:
ico  
general polytopal classes:
luna   segmentochora  

Incidence matrix according to Dynkin symbol

xoxx3oxox&#xr   → all heights = sqrt(2/3) = 0.816497

o...3o...     | 3 * * * | 2 2 2 0 0 0 0 0 0 0 | 1 2 1 2 1 2 0 0 0 0 0 0 0 0 0 | 1 1 2 1 0 0 0
.o..3.o..     | * 3 * *  0 2 0 2 2 2 0 0 0 0 | 0 1 2 0 0 2 1 1 2 1 2 0 0 0 0 | 1 0 1 2 1 1 0
..o.3..o.     | * * 3 * | 0 0 0 0 2 0 2 2 0 0 | 0 0 0 0 0 0 0 2 1 0 2 1 2 1 0 | 0 0 0 1 1 2 1
...o3...3     | * * * 6 | 0 0 1 0 0 1 0 1 1 1 | 0 0 0 1 1 1 0 0 0 1 1 0 1 1 1 | 0 1 1 1 0 1 1
--------------+---------+---------------------+-------------------------------+--------------
x... ....     | 2 0 0 0 | 3 * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0
oo..3oo..&#x  | 1 1 0 0 | * 6 * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0
o..o3o..o&#x  | 1 0 0 1 | * * 6 * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0
.... .x..     | 0 2 0 0 | * * * 3 * * * * * * | 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 | 1 0 0 1 1 0 0
.oo.3.oo.&#x  | 0 1 1 0 | * * * * 6 * * * * * | 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 | 0 0 0 1 1 1 0
.o.o3.o.o&#x  | 0 1 0 1 | * * * * * 6 * * * * | 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 | 0 0 1 1 0 1 0
..x. ....     | 0 0 2 0 | * * * * * * 3 * * * | 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 | 0 0 0 0 1 1 1
..oo3..oo&#x  | 0 0 1 1 | * * * * * * * 6 * * | 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 | 0 0 0 1 0 1 1
...x ....     | 0 0 0 2 | * * * * * * * * 3 * | 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 | 0 1 1 0 0 1 1
.... ...x     | 0 0 0 2 | * * * * * * * * * 3 | 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 | 0 1 0 1 0 0 1
--------------+---------+---------------------+-------------------------------+--------------
x...3o...     | 3 0 0 0 | 3 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * | 1 1 0 0 0 0 0
xo.. ....&#x  | 2 1 0 0 | 1 2 0 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * * * | 1 0 1 0 0 0 0
.... ox..&#x  | 1 2 0 0 | 0 2 0 1 0 0 0 0 0 0 | * * 3 * * * * * * * * * * * * | 1 0 0 1 0 0 0
x..x ....&#x  | 2 0 0 2 | 1 0 2 0 0 0 0 0 1 0 | * * * 3 * * * * * * * * * * * | 0 1 1 0 0 0 0
.... o..x&#x  | 1 0 0 2 | 0 0 2 0 0 0 0 0 0 1 | * * * * 3 * * * * * * * * * * | 0 1 0 1 0 0 0
oo.o3oo.o&#x  | 1 1 0 1 | 0 1 1 0 0 1 0 0 0 0 | * * * * * 6 * * * * * * * * * | 0 0 1 1 0 0 0
.o..3.x..     | 0 3 0 0 | 0 0 0 3 0 0 0 0 0 0 | * * * * * * 1 * * * * * * * * | 1 0 0 0 1 0 0
.ox. ....&#x  | 0 1 2 0 | 0 0 0 0 2 0 1 0 0 0 | * * * * * * * 3 * * * * * * * | 0 0 0 0 1 1 0
.... .xo.&#x  | 0 2 1 0 | 0 0 0 1 2 0 0 0 0 0 | * * * * * * * * 3 * * * * * * | 0 0 0 1 1 0 0
.o.x ....&#x  | 0 1 0 2 | 0 0 0 0 0 2 0 0 1 0 | * * * * * * * * * 3 * * * * * | 0 0 1 0 0 1 0
.ooo3.ooo&#x  | 0 1 1 1 | 0 0 0 0 1 1 0 1 0 0 | * * * * * * * * * * 6 * * * * | 0 0 0 1 0 1 0
..x.3..o.     | 0 0 3 0 | 0 0 0 0 0 0 3 0 0 0 | * * * * * * * * * * * 1 * * * | 0 0 0 0 1 0 1
..xx ....&#x  | 0 0 2 2 | 0 0 0 0 0 0 1 2 1 0 | * * * * * * * * * * * * 3 * * | 0 0 0 0 0 1 1
.... ..ox&#x  | 0 0 1 2 | 0 0 0 0 0 0 0 2 0 1 | * * * * * * * * * * * * * 3 * | 0 0 0 1 0 0 1
...x3...x     | 0 0 0 6 | 0 0 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * * * 1 | 0 1 0 0 0 0 1
--------------+---------+---------------------+-------------------------------+--------------
xo..3ox..&#x   3 3 0 0 | 3 6 0 3 0 0 0 0 0 0 | 1 3 3 0 0 0 1 0 0 0 0 0 0 0 0 | 1 * * * * * *
x..x3o..x&#x   3 0 0 6 | 3 0 6 0 0 0 0 0 3 3 | 1 0 0 3 3 0 0 0 0 0 0 0 0 0 1 | * 1 * * * * *
xo.x ....&#x   2 1 0 2 | 1 2 2 0 0 2 0 0 1 0 | 0 1 0 1 0 2 0 0 0 1 0 0 0 0 0 | * * 3 * * * *
.... oxox&#xr  1 2 1 2 | 0 2 2 1 2 2 0 2 0 1 | 0 0 1 0 1 2 0 0 1 0 2 0 0 1 0 | * * * 3 * * *
.ox.3.xo.&#x   0 3 3 0 | 0 0 0 3 6 0 3 0 0 0 | 0 0 0 0 0 0 1 3 3 0 0 1 0 0 0 | * * * * 1 * *
.oxx ....&#x   0 1 2 2 | 0 0 0 0 2 2 1 2 1 0 | 0 0 0 0 0 0 0 1 0 1 2 0 1 0 0 | * * * * * 3 *
..xx3..ox&#x   0 0 3 6 | 0 0 0 0 0 0 3 6 3 3 | 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 | * * * * * * 1

oct || tricu   → height = 1/sqrt(2) = 0.707107

o...3o...     | 3 * * * | 2 2 2 0 0 0 0 0 0 0 | 1 2 1 2 1 2 0 0 0 0 0 0 0 0 0 | 1 1 2 1 0 0 0
.o..3.o..     | * 3 * *  0 2 0 2 2 2 0 0 0 0 | 0 1 2 0 0 2 1 1 2 1 2 0 0 0 0 | 1 0 1 2 1 1 0
..o.3..o.     | * * 3 * | 0 0 0 0 2 0 2 2 0 0 | 0 0 0 0 0 0 0 2 1 0 2 1 2 1 0 | 0 0 0 1 1 2 1
...o3...3     | * * * 6 | 0 0 1 0 0 1 0 1 1 1 | 0 0 0 1 1 1 0 0 0 1 1 0 1 1 1 | 0 1 1 1 0 1 1
--------------+---------+---------------------+-------------------------------+--------------
x... ....     | 2 0 0 0 | 3 * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0
oo..3oo..&#x  | 1 1 0 0 | * 6 * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0
o..o3o..o&#x  | 1 0 0 1 | * * 6 * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0
.... .x..     | 0 2 0 0 | * * * 3 * * * * * * | 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 | 1 0 0 1 1 0 0
.oo.3.oo.&#x  | 0 1 1 0 | * * * * 6 * * * * * | 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 | 0 0 0 1 1 1 0
.o.o3.o.o&#x  | 0 1 0 1 | * * * * * 6 * * * * | 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 | 0 0 1 1 0 1 0
..x. ....     | 0 0 2 0 | * * * * * * 3 * * * | 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 | 0 0 0 0 1 1 1
..oo3..oo&#x  | 0 0 1 1 | * * * * * * * 6 * * | 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 | 0 0 0 1 0 1 1
...x ....     | 0 0 0 2 | * * * * * * * * 3 * | 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 | 0 1 1 0 0 1 1
.... ...x     | 0 0 0 2 | * * * * * * * * * 3 | 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 | 0 1 0 1 0 0 1
--------------+---------+---------------------+-------------------------------+--------------
x...3o...     | 3 0 0 0 | 3 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * | 1 1 0 0 0 0 0
xo.. ....&#x  | 2 1 0 0 | 1 2 0 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * * * | 1 0 1 0 0 0 0
.... ox..&#x  | 1 2 0 0 | 0 2 0 1 0 0 0 0 0 0 | * * 3 * * * * * * * * * * * * | 1 0 0 1 0 0 0
x..x ....&#x  | 2 0 0 2 | 1 0 2 0 0 0 0 0 1 0 | * * * 3 * * * * * * * * * * * | 0 1 1 0 0 0 0
.... o..x&#x  | 1 0 0 2 | 0 0 2 0 0 0 0 0 0 1 | * * * * 3 * * * * * * * * * * | 0 1 0 1 0 0 0
oo.o3oo.o&#x  | 1 1 0 1 | 0 1 1 0 0 1 0 0 0 0 | * * * * * 6 * * * * * * * * * | 0 0 1 1 0 0 0
.o..3.x..     | 0 3 0 0 | 0 0 0 3 0 0 0 0 0 0 | * * * * * * 1 * * * * * * * * | 1 0 0 0 1 0 0
.ox. ....&#x  | 0 1 2 0 | 0 0 0 0 2 0 1 0 0 0 | * * * * * * * 3 * * * * * * * | 0 0 0 0 1 1 0
.... .xo.&#x  | 0 2 1 0 | 0 0 0 1 2 0 0 0 0 0 | * * * * * * * * 3 * * * * * * | 0 0 0 1 1 0 0
.o.x ....&#x  | 0 1 0 2 | 0 0 0 0 0 2 0 0 1 0 | * * * * * * * * * 3 * * * * * | 0 0 1 0 0 1 0
.ooo3.ooo&#x  | 0 1 1 1 | 0 0 0 0 1 1 0 1 0 0 | * * * * * * * * * * 6 * * * * | 0 0 0 1 0 1 0
..x.3..o.     | 0 0 3 0 | 0 0 0 0 0 0 3 0 0 0 | * * * * * * * * * * * 1 * * * | 0 0 0 0 1 0 1
..xx ....&#x  | 0 0 2 2 | 0 0 0 0 0 0 1 2 1 0 | * * * * * * * * * * * * 3 * * | 0 0 0 0 0 1 1
.... ..ox&#x  | 0 0 1 2 | 0 0 0 0 0 0 0 2 0 1 | * * * * * * * * * * * * * 3 * | 0 0 0 1 0 0 1
...x3...x     | 0 0 0 6 | 0 0 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * * * 1 | 0 1 0 0 0 0 1
--------------+---------+---------------------+-------------------------------+--------------
xo..3ox..&#x   3 3 0 0 | 3 6 0 3 0 0 0 0 0 0 | 1 3 3 0 0 0 1 0 0 0 0 0 0 0 0 | 1 * * * * * *
x..x3o..x&#x   3 0 0 6 | 3 0 6 0 0 0 0 0 3 3 | 1 0 0 3 3 0 0 0 0 0 0 0 0 0 1 | * 1 * * * * *
xo.x ....&#x   2 1 0 2 | 1 2 2 0 0 2 0 0 1 0 | 0 1 0 1 0 2 0 0 0 1 0 0 0 0 0 | * * 3 * * * *
.... oxox&#xr  1 2 1 2 | 0 2 2 1 2 2 0 2 0 1 | 0 0 1 0 1 2 0 0 1 0 2 0 0 1 0 | * * * 3 * * *
.ox.3.xo.&#x   0 3 3 0 | 0 0 0 3 6 0 3 0 0 0 | 0 0 0 0 0 0 1 3 3 0 0 1 0 0 0 | * * * * 1 * *
.oxx ....&#x   0 1 2 2 | 0 0 0 0 2 2 1 2 1 0 | 0 0 0 0 0 0 0 1 0 1 2 0 1 0 0 | * * * * * 3 *
..xx3..ox&#x   0 0 3 6 | 0 0 0 0 0 0 3 6 3 3 | 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 | * * * * * * 1

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