Jump to content

Cubitruncated cuboctahedron: Difference between revisions

From Wikipedia, the free encyclopedia
Content deleted Content added
Addbot (talk | contribs)
m Bot: Migrating 4 interwiki links, now provided by Wikidata on d:q3006725 (Report Errors)
No edit summary
Line 1: Line 1:
{{Uniform polyhedra db|Uniform polyhedron stat table|ctCO}}
{{Uniform polyhedra db|Uniform polyhedron stat table|ctCO}}
In [[geometry]], the '''cubitruncated cuboctahedron''' is a [[nonconvex uniform polyhedron]], indexed as U<sub>16</sub>.
In [[geometry]], the '''cubitruncated cuboctahedron''' or '''cuboctatruncated cuboctahedron''' is a [[nonconvex uniform polyhedron]], indexed as U<sub>16</sub>.


== Convex hull ==
== Convex hull ==

Revision as of 15:11, 13 April 2014

Cubitruncated cuboctahedron
Type Uniform star polyhedron
Elements F = 20, E = 72
V = 48 (χ = −4)
Faces by sides 8{6}+6{8}+6{8/3}
Coxeter diagram
Wythoff symbol 3 4 4/3 |
Symmetry group Oh, [4,3], *432
Index references U16, C52, W79
Dual polyhedron Tetradyakis hexahedron
Vertex figure
6.8.8/3
Bowers acronym Cotco

In geometry, the cubitruncated cuboctahedron or cuboctatruncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U16.

Convex hull

Its convex hull is a nonuniform truncated cuboctahedron.


Convex hull

Cubitruncated cuboctahedron

Cartesian coordinates

Cartesian coordinates for the vertices of a cubitruncated cuboctahedron are all the permutations of

(±(√2−1), ±1, ±(√2+1))

See also

  • Weisstein, Eric W. "Cubitruncated cuboctahedron". MathWorld.