The construction of polyhedra using 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 Haűy construction to build the dodecahedron (Wells 1991).
Haűy Construction
See also
Octahedral Number, Octahedron, Rhombic Dodecahedral Number, Rhombic DodecahedronExplore with Wolfram|Alpha
References
Haűy, 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: Penguin, p. 93, 1991.Referenced on Wolfram|Alpha
Haűy ConstructionCite this as:
Weisstein, Eric W. "Haűy Construction." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HauyConstruction.html