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
Subject classifications
