Acronym ohope
Name octahemioctahedron prism
Cross sections
 ©
Circumradius sqrt(5)/2 = 1.118034
General of army cope
Colonel of regiment cope
Dihedral angles
  • at {6} between hip and oho:   90°
  • at {3} between oho and trip:   90°
  • at {4} between hip and trip:   arccos(1/3) = 70.528779°
External
links
hedrondude  

Incidence matrix according to Dynkin symbol

x x3/2o3x3*b

. .   . .    | 24 |  1  2  2 |  2  2 1 2 1 | 1 2 1 1
-------------+----+----------+-------------+--------
x .   . .    |  2 | 12  *  * |  2  2 0 0 0 | 1 2 1 0
. x   . .    |  2 |  * 24  * |  1  0 1 1 0 | 1 1 0 1
. .   . x    |  2 |  *  * 24 |  0  1 0 1 1 | 0 1 1 1
-------------+----+----------+-------------+--------
x x   . .    |  4 |  2  2  0 | 12  * * * * | 1 1 0 0
x .   . x    |  4 |  2  0  2 |  * 12 * * * | 0 1 1 0
. x3/2o .    |  3 |  0  3  0 |  *  * 8 * * | 1 0 0 1
. x   . x3*b |  6 |  0  3  3 |  *  * * 8 * | 0 1 0 1
. .   o3x    |  3 |  0  0  3 |  *  * * * 8 | 0 0 1 1
-------------+----+----------+-------------+--------
x x3/2o .      6 |  3  6  0 |  3  0 2 0 0 | 4 * * *
x x   . x3*b  12 |  6  6  6 |  3  3 0 2 0 | * 4 * *
x .   o3x      6 |  3  0  6 |  0  3 0 0 2 | * * 4 *
. x3/2o3x3*b  12 |  0 12 12 |  0  0 4 4 4 | * * * 2

xx3/2oo3xx3*a&#x   → height = 1
(oho || oho)

o.3/2o.3o.3*a    | 12  0 |  2  2  1  0  0 | 1 2 1  2  2 0 0 0 | 1 1 2 1 0
.o3/2.o3.o3*a    |  0 12 |  0  0  1  2  2 | 0 0 0  2  2 1 2 1 | 0 1 2 1 1
-----------------+-------+----------------+-------------------+----------
x.   .. ..       |  2  0 | 12  *  *  *  * | 1 1 0  1  0 0 0 0 | 1 1 1 0 0
..   .. x.       |  2  0 |  * 12  *  *  * | 0 1 1  0  1 0 0 0 | 1 0 1 1 0
oo3/2oo3oo3*a&#x |  1  1 |  *  * 12  *  * | 0 0 0  2  2 0 0 0 | 0 1 2 1 0
.x   .. ..       |  0  2 |  *  *  * 12  * | 0 0 0  1  0 1 1 0 | 0 1 1 0 1
..   .. .x       |  0  2 |  *  *  *  * 12 | 0 0 0  0  1 0 1 1 | 0 0 1 1 1
-----------------+-------+----------------+-------------------+----------
x.3/2o. ..       |  3  0 |  3  0  0  0  0 | 4 * *  *  * * * * | 1 1 0 0 0
x.   .. x.3*a    |  6  0 |  3  3  0  0  0 | * 4 *  *  * * * * | 1 0 1 0 0
..   o.3x.       |  3  0 |  0  3  0  0  0 | * * 4  *  * * * * | 1 0 0 1 0
xx   .. ..   &#x |  2  2 |  1  0  2  1  0 | * * * 12  * * * * | 0 1 1 0 0
..   .. xx   &#x |  2  2 |  0  1  2  0  1 | * * *  * 12 * * * | 0 0 1 1 0
.x3/2.o ..       |  0  3 |  0  0  0  3  0 | * * *  *  * 4 * * | 0 1 0 0 1
.x   .. .x3*a    |  0  6 |  0  0  0  3  3 | * * *  *  * * 4 * | 0 0 1 0 1
..   .o3.x       |  0  3 |  0  0  0  0  3 | * * *  *  * * * 4 | 0 0 0 1 1
-----------------+-------+----------------+-------------------+----------
x.3/2o.3x.3*a     12  0 | 12 12  0  0  0 | 4 4 4  0  0 0 0 0 | 1 * * * *
xx3/2oo ..   &#x   3  3 |  3  0  3  3  0 | 1 0 0  3  0 1 0 0 | * 4 * * *
xx   .. xx3*a&#x   6  6 |  3  3  6  3  3 | 0 1 0  3  3 0 1 0 | * * 4 * *
..   oo3xx   &#x   3  3 |  0  3  3  0  3 | 0 0 1  0  3 0 0 1 | * * * 4 *
.x3/2.o3.x3*a      0 12 |  0  0  0 12 12 | 0 0 0  0  0 4 4 4 | * * * * 1

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