Acronym groh
TOCID symbol rc|OC*
Name great rhombihexahedron
 
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Circumradius sqrt[5-2 sqrt(2)]/2 = 0.736813
Vertex figure [4/3,8/5,4,8/3]/0
Coordinates ((sqrt(2)-1)/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army tic
Colonel of regiment gocco
Dihedral angles
  • between {4} and {8/3} (at pseudo{3}):   90°
  • between {4} and {8/3} (at pseudo{4}):   45°
Confer
Grünbaumian relatives:
groh+8{6/2}  
blend-component:
stop  
compounds:
rasquahr  
External
links
hedrondude   wikipedia   WikiChoron   mathworld

As abstract polytope groh is isomorphic to sroh, thereby replacing octagrams by octagons.

This polyhedron could be thought of as the blend of 3 mutually perpendicular stop, blending out those squares at intersection axes.


Incidence matrix according to Dynkin symbol

reduced( x4/3x3/2x , by 8{6/2} )

24 |  2  2 |  2 2
---+-------+-----
 2 | 24  * |  1 1  at pseudo {3}
 2 |  * 24 |  1 1  at pseudo {4}
---+-------+-----
 4 |  2  2 | 12 *
 8 |  4  4 |  * 6
 
or (only as abstract polyhedron)
24 |  4 |  2 2
---+----+-----
 2 | 48 |  1 1
---+----+-----
 4 |  4 | 12 *
 8 |  8 |  * 6

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