Acronym rasquacu
Name retrograde square cupola,
crossed square cupola,
4/3-cupola
 
 ©
Circumradius sqrt[5-2 sqrt(2)]/2 = 0.736813
Vertex figures [3,43], [3,4,8/3]
Dihedral angles
  • between {3} and {8/3}:   arccos[-1/sqrt(3)] = 125.264390°
  • between {4} and {4}:   45°
  • between {4} and {8/3}:   45°
  • between {3} and {4}:   arccos(sqrt(2/3)) = 35.264390°
Face vector 12, 20, 10
Confer
general cupolae:
n/d-cu  
uniform relative:
querco  
related Johnson solids:
squacu  
further related polyhedra:
gyquerco  
general polytopal classes:
segmentohedra  
External
links
wikipedia   polytopewiki  

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


Incidence matrix according to Dynkin symbol

xx4/3ox&#x   → height = 1/sqrt(2) = 0.707107
({4} || {8/3})

o.4/3o.    | 4 * | 2 2 0 0 | 1 2 1 0
.o4/3.o    | * 8 | 0 1 1 1 | 0 1 1 1
-----------+-----+---------+--------
x.   ..    | 2 0 | 4 * * * | 1 1 0 0
oo4/3oo&#x | 1 1 | * 8 * * | 0 1 1 0
.x   ..    | 0 2 | * * 4 * | 0 1 0 1
..   .x    | 0 2 | * * * 4 | 0 0 1 1
-----------+-----+---------+--------
x.4/3o.    | 4 0 | 4 0 0 0 | 1 * * *
xx   ..&#x | 2 2 | 1 2 1 0 | * 4 * *
..   ox&#x | 1 2 | 0 2 0 1 | * * 4 *
.x4/3.x    | 0 8 | 0 0 4 4 | * * * 1

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