Golden Rhombohedra

golden rhombohedra made of paper

Golden rhombohedra are polyhedra that have six congruent rhombic faces whose diagonals are in the golden ratio. Golden rhombohedra come in two configurations shown above.

Steps

  1. Score and cut out the pattern pieces from card stock.
  2. Fold and glue at the tabs.

Notes

  • rhombic dodecahedron of the second kindTwo copies of each of the rhombohedra above can be assembled to form a type of rhombic dodecahedron that is sometimes referred to as a rhombic dodecahedron of the second kind to distinguish it from the rhombic dodecahedron that is the dual of the cuboctahedron.
  • rhombic triacontahedronTen copies of each rhombohedron fit together to make a rhombic triacontahedron, the dual of the icosidodecahedron.

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