WOLFRAM|DEMONSTRATIONS PROJECT

Hexagonal Lattice of Polyhedra

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lattice size
1
2
3
4
5
6
truncate
0
rhombic hexecontahedron
dodecahedron
rhombic triacontahedron
rhombic dodecahedron
icosahedron
small stellated dodecahedron
great stellated dodecahedron
Select some polyhedra to arrange them in a hexagonal lattice. Adjacent polyhedra may touch face-to-face, edge-to-edge or vertex-to-vertex. The possibility of truncation produces further polyhedra. Use this Demonstration to study the relationship among various polyhedra or to explore potential tiling patterns.