A Haüy construction is a method of assembling a polyhedron from identical building blocks. The illustrations above show such constructions for
the cuboctahedron, octahedron,
rhombic dodecahedron, and square
pyramid. In Book XIII of the Elements, Euclid
used a Haüy construction to build the dodecahedron
(Wells 1991).
See also
Octahedral Number,
Octahedron,
Rhombic Dodecahedral Number,
Rhombic
Dodecahedron
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References
Haüy, R.-J. "Essai d'une théorie sur la structure des crystals appliquée à plusieurs genres de substances crystallisées."
1784.Wells, D. The
Penguin Dictionary of Curious and Interesting Geometry. London, England:
Penguin, p. 93, 1991.Referenced on Wolfram|Alpha
Haüy Construction
Cite this as:
Weisstein, Eric W. "Haüy Construction."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HauyConstruction.html
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