![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/d/d4/Truncatedhexahedron.svg/640px-Truncatedhexahedron.svg.png&w=640&q=50)
Truncated cube
Archimedean solid with 14 regular faces / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Truncated cube?
Summarize this article for a 10 year old
SHOW ALL QUESTIONS
In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and 24 vertices.
Truncated cube | |
---|---|
![]() (Click here for rotating model) | |
Type | Archimedean solid Uniform polyhedron |
Elements | F = 14, E = 36, V = 24 (χ = 2) |
Faces by sides | 8{3}+6{8} |
Conway notation | tC |
Schläfli symbols | t{4,3} |
t0,1{4,3} | |
Wythoff symbol | 2 3 | 4 |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() |
Symmetry group | Oh, B3, [4,3], (*432), order 48 |
Rotation group | O, [4,3]+, (432), order 24 |
Dihedral angle | 3-8: 125°15′51″ 8-8: 90° |
References | U09, C21, W8 |
Properties | Semiregular convex |
![]() Colored faces |
![]() 3.8.8 (Vertex figure) |
![]() Triakis octahedron (dual polyhedron) |
![]() Net |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/3/35/Truncated_cube.stl/640px-Truncated_cube.stl.png)
If the truncated cube has unit edge length, its dual triakis octahedron has edges of lengths 2 and 2 + √2.