TOPICS
Search

Isozonohedron


An isozonohedron is a zonohedron whose faces consist of n(n-1) congruent rhombi (Fedorov 1953, pp. 256-266; Chilton and Coxeter 1963). The following table summarizes some of the isozonohedra.

nisozonohedron
3rhombohedron (including the cube as a special case)
4rhombic dodecahedron
5rhombic icosahedron
6rhombic triacontahedron

The cases n=3, 4, and 5 are polar zonohedra (Chilton and Coxeter 1963).


See also

Polar Zonohedron, Zonohedron

Explore with Wolfram|Alpha

References

Chilton, B. L. and Coxeter, H. S. M. "Polar Zonohedra." Amer. Math. Monthly 70, 946-951, 1963.Fedorov, E. S. Nachala Ucheniya o Figurah. Leningrad, 1953.

Referenced on Wolfram|Alpha

Isozonohedron

Cite this as:

Weisstein, Eric W. "Isozonohedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Isozonohedron.html

Subject classifications