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   polytopewiki   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.

This polyhedron is an edge-faceting of the great cubicuboctahedron (gocco).


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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