Matthias Schwar
Rainbow Rhombohedra
Medial Rhombic Triacontahedron
Rhombic Hexecontahedron
After i have seen several renditions of these intriguing polyhedra I decided to create my own. Each one is folded from 60 units, standard golden rhombic units for the RH and kite-shaped versions from a square for the MRT. Interestingly, the ratio of its kite diagonals is also 1/φ but the shorter diagonal divides the longer one into two unequal segments, φ and 2-φ. Two kites actually form a big rhombus, partially hidden, with the diagonal ratio 1/φ^2.
Both polyhedra are stellations of the rhombic triacontahedron. The convex hull of the MRT is the icosahedron, connecting its innermost points creates a docecahedron, vice versa in case of the RH. Tracing the short diagonals of their faces, one can find an icosidodecahedron. Tracing the long diagonals gives a small stellated dodecahedron for the MRT and a great stellated dodecahedron for the RH. Amazing.
Rainbow Rhombohedra
Medial Rhombic Triacontahedron
Rhombic Hexecontahedron
After i have seen several renditions of these intriguing polyhedra I decided to create my own. Each one is folded from 60 units, standard golden rhombic units for the RH and kite-shaped versions from a square for the MRT. Interestingly, the ratio of its kite diagonals is also 1/φ but the shorter diagonal divides the longer one into two unequal segments, φ and 2-φ. Two kites actually form a big rhombus, partially hidden, with the diagonal ratio 1/φ^2.
Both polyhedra are stellations of the rhombic triacontahedron. The convex hull of the MRT is the icosahedron, connecting its innermost points creates a docecahedron, vice versa in case of the RH. Tracing the short diagonals of their faces, one can find an icosidodecahedron. Tracing the long diagonals gives a small stellated dodecahedron for the MRT and a great stellated dodecahedron for the RH. Amazing.