Acronym odip
Name octagon-octagon duoprism
  ©  
Circumradius sqrt[2+sqrt(2)] = 1.847759
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • at {8} between op and op:   135°
  • at {4} between op and op:   90°
Confer
general duoprisms:
8,n-dip   n,n-dip   n,m-dip   2n,m-dip   2n,2m-dip  
uniform relative:
srit   spic  
segmentochora:
{4} || op  
related CRFs:
cyted srit   cyte gysrit   bicyte gysrit   bipgy srit  
general polytopal classes:
noble polytopes  
External
links
hedrondude   wikipedia

Augmenting {4} || op onto alternating ops would lead to the srit (which would have an even larger symmetry)!


Incidence matrix according to Dynkin symbol

x8o x8o  

. . . . | 64 |  2  2 | 1  4 1 | 2 2
--------+----+-------+--------+----
x . . . |  2 | 64  * | 1  2 0 | 2 1
. . x . |  2 |  * 64 | 0  2 1 | 1 2
--------+----+-------+--------+----
x8o . . |  8 |  8  0 | 8  * * | 2 0
x . x . |  4 |  2  2 | * 64 * | 1 1
. . x8o |  8 |  0  8 | *  * 8 | 0 2
--------+----+-------+--------+----
x8o x .  16 | 16  8 | 2  8 0 | 8 *
x . x8o  16 |  8 16 | 0  8 2 | * 8
or
. . . .    | 64 |   4 |  2  4 |  4
-----------+----+-----+-------+---
x . . .  & |  2 | 128 |  1  2 |  3
-----------+----+-----+-------+---
x8o . .  & |  8 |   8 | 16  * |  2
x . x .    |  4 |   4 |  * 64 |  2
-----------+----+-----+-------+---
x8o x .  &  16 |  24 |  2  8 | 16

x4x x8o

. . . . | 64 |  1  1  2 | 1  2  2 1 | 2 1 1
--------+----+----------+-----------+------
x . . . |  2 | 32  *  * | 1  2  0 0 | 2 1 0
. x . . |  2 |  * 32  * | 1  0  2 0 | 2 0 1
. . x . |  2 |  *  * 64 | 0  1  1 1 | 1 1 1
--------+----+----------+-----------+------
x4x . . |  8 |  4  4  0 | 8  *  * * | 2 0 0
x . x . |  4 |  2  0  2 | * 32  * * | 1 1 0
. x x . |  4 |  0  2  2 | *  * 32 * | 1 0 1
. . x8o |  8 |  0  0  8 | *  *  * 8 | 0 1 1
--------+----+----------+-----------+------
x4x x .  16 |  8  8  8 | 2  4  4 0 | 8 * *
x . x8o  16 |  8  0 16 | 0  8  0 2 | * 4 *
. x x8o  16 |  0  8 16 | 0  0  8 2 | * * 4

x4x x4x

. . . . | 64 |  1  1  1  1 | 1  1  1  1  1 1 | 1 1 1 1
--------+----+-------------+-----------------+--------
x . . . |  2 | 32  *  *  * | 1  1  1  0  0 0 | 1 1 1 0
. x . . |  2 |  * 32  *  * | 1  0  0  1  1 0 | 1 1 0 1
. . x . |  2 |  *  * 32  * | 0  1  0  1  0 1 | 1 0 1 1
. . . x |  2 |  *  *  * 32 | 0  0  1  0  1 1 | 0 1 1 1
--------+----+-------------+-----------------+--------
x4x . . |  8 |  4  4  0  0 | 8  *  *  *  * * | 1 1 0 0
x . x . |  4 |  2  0  2  0 | * 16  *  *  * * | 1 0 1 0
x . . x |  4 |  2  0  0  2 | *  * 16  *  * * | 0 1 1 0
. x x . |  4 |  0  2  2  0 | *  *  * 16  * * | 1 0 0 1
. x . x |  4 |  0  2  0  2 | *  *  *  * 16 * | 0 1 0 1
. . x4x |  8 |  0  0  4  4 | *  *  *  *  * 8 | 0 0 1 1
--------+----+-------------+-----------------+--------
x4x x .  16 |  8  8  8  0 | 2  4  0  4  0 0 | 4 * * *
x4x . x  16 |  8  8  0  8 | 2  0  4  0  4 0 | * 4 * *
x . x4x  16 |  8  0  8  8 | 0  4  4  0  0 2 | * * 4 *
. x x4x  16 |  0  8  8  8 | 0  0  0  4  4 2 | * * * 4

snubbed forms: s4x s4x, s4x2s4x

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