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Rhombohedron


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A rhombohedron is a parallelepiped bounded by six rhombi such that opposite faces are congruent.

A rhombohedron having all six rhombic faces congruent is known as a trigonal trapezohedron. Special cases include the cube and two golden rhombohedra.

A number of named rhombohedra are implemented in the Wolfram Language as PolyhedronData["Rhombohedron"].


See also

Cube, Golden Rhombohedron, Parallelepiped, Rhombic Hexecontahedron, Rhombus, Trapezohedron, Trigonal Trapezohedron

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References

Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, pp. 142 and 161, 1987.Coxeter, H. S. M. Regular Polytopes, 3rd ed. New York: Dover, p. 26, 1973.

Referenced on Wolfram|Alpha

Rhombohedron

Cite this as:

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

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