Dissecting a Rhombic Triacontahedron

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This Demonstration shows the dissection of a concave or convex rhombic triacontahedron into 24 eighths of a Bilinski dodecahedron and a cube. The faces of the polyhedra are congruent golden rhombi. In the concave case, the side of the cube is the smaller diagonal of the golden rhombus. In the convex case, the side of the cube is the larger diagonal of the golden rhombus.

Contributed by: Izidor Hafner (February 2019)
Open content licensed under CC BY-NC-SA


Details

References

[1] I. Hafner and T. Zitko. "A Dissection of Two Rhombic Dodecahedra of the Second Kind to a Cube." (Feb 18, 2019) www.mi.sanu.ac.rs/vismath/hafner6/visual15/Visual15.html.

[2] I. Hafner and T. Zitko. "A Dissection of Quarter of Rhombic Dodecahedron of the Second Kind to a Cube." (Feb 18, 2019) www.mi.sanu.ac.rs/vismath/hafner6/visual16/Visual16.html.

[3] I. Hafner and T. Zitko. "A Dissection of Rhombic Triacontahedron." (Feb 18, 2019) www.mi.sanu.ac.rs/vismath/hafner6/visual22/Visual22.html.


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