Rectified truncated octahedron

Convex polyhedron with 38 faces From Wikipedia, the free encyclopedia

Rectified truncated octahedron

In geometry, the rectified truncated octahedron is a convex polyhedron, constructed as a rectified, truncated octahedron. It has 38 faces: 24 isosceles triangles, 6 squares, and 8 hexagons.

Quick Facts Faces, Edges ...
Rectified truncated octahedron
Thumb
Faces38:
24 isosceles triangles
6 squares
8 hexagons
Edges72
Vertices12+24
Schläfli symbolrt{3,4}
Conway notationatO
Symmetry groupOh, [4,3], (*432), order 48
Rotation groupO, [4,3]+, (432), order 24
Dual polyhedronJoined truncated octahedron
Propertiesconvex
Net
Thumb
Close

Topologically, the squares corresponding to the octahedron's vertices are always regular, although the hexagons, while having equal edge lengths, do not have the same edge lengths with the squares, having different but alternating angles, causing the triangles to be isosceles instead.

The rectified truncated octahedron can be seen in sequence of rectification and truncation operations from the octahedron. Further truncation, and alternation creates two more polyhedra:

More information Name, Truncatedoctahedron ...
Name Truncated
octahedron
Rectified
truncated
octahedron
Truncated
rectified
truncated
octahedron
Snub
rectified
truncated
octahedron
Coxeter tO rtO trtO srtO
Conway atO btO stO
Image
Conway dtO = kC jtO mtO mtO
Dual
Close

See also

References

Loading related searches...

Wikiwand - on

Seamless Wikipedia browsing. On steroids.