Dissection of a Quarter of a Bilinski Dodecahedron into a Rectangular Solid

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This Demonstration shows a two-piece dissection of a quarter of a Bilinski dodecahedron (RD2) into a rectangular solid (golden rectangular solid). If the shorter diagonal of a face is 2, then the volume of a quarter of RD2 is .

Contributed by: Izidor Hafner and Mateja Budin (September 2019)
Open content licensed under CC BY-NC-SA


Details

Reference

[1] I. Hafner and M. Budin, "Dissection of Cubes and Golden Rhombic Solids," in Aproged's 5th International Conference, Geometrias '19: Polyhedra and Beyond, Porto, Portugal (V. Viana, ed.), Porto: Aproged, 2019 pp. 91–93. www.aproged.pt/geometrias19proceedings.html.


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