- In geometry, the
octahemioctahedron or
allelotetratetrahedron is a
nonconvex uniform polyhedron,
indexed as U3. It has 12
faces (8
triangles and 4 hexagons)...
- with the two
nonconvex uniform polyhedra, the
cubohemioctahedron and
octahemioctahedron.
These polyhedrons are
constructed from the
skeleton of a cuboctahedron...
- F {\displaystyle \ \chi =V-E+F\ }
Tetrahemihexahedron 6 12 7 1
Octahemioctahedron 12 24 12 0
Cubohemioctahedron 12 24 10 −2
Small stellated dodecahedron...
-
construction generates the ****rientable
hemipolyhedra (all
except the
octahemioctahedron) as
double covers (two
coincident hemipolyhedra). In the Euclidean...
-
determined from this
abstract manifold.
Examples include the genus-1
octahemioctahedron, the genus-3
small cubicuboctahedron, and the genus-4
great dodecahedron...
-
great rhombicosidodecahedron Nonconvex great rhombicuboctahedron Octahemioctahedron Rhombicosahedron Rhombidodecadodecahedron Small cubicuboctahedron...
- the
cuboctahedron (having the
square faces in common), and with the
octahemioctahedron (having the
hexagonal faces in common). The
cubohemioctahedron can...
-
tetrakis cuboctahedron Cuboctahedron Tetrakis hexahedron The
nonconvex octahemioctahedron looks like a
concave tetrakis cuboctahedron with
inverted square pyramids...
- 12 24 Oh
Cuboctahedron 2|3 4 W11, U07, K12, C19 F 14=8{3}+6{4} χ=2
Octahemioctahedron 3/2 3|3 W68, U03, K08, C37 F 12=8{3}+4{6} χ=0
Cubohemioctahedron 4/3...
- ( 3 3 ) {\displaystyle \arccos({\frac {\sqrt {3}}{3}})} 54.736°
Octahemioctahedron o{4,3} (3.6.3/2.6)
arccos ( 1 3 ) {\displaystyle \arccos({\frac...
