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Color-Matching Dissection of the Rhombic Icosahedron

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In Der Keplersche Körper und andere Bauspiele (1938), Gerhard Kowalewski showed a color-matching construction of a rhombic triacontahedron composed of 10 acute and 10 obtuse golden rhombohedra. Color-matching means that touching faces have the same color.

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This Demonstration shows a color-matching dissection of a rhombic icosahedron and a Bilinski dodecahedron.

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Contributed by: Izidor Hafner (January 2020)
Open content licensed under CC BY-NC-SA

Details

The Demonstration uses the same colors as Kowalewski except that we use magenta instead of white.

The construction is explained in [1, pp. 23–25].

References

[1] G. Kowalewski and D. Booth, "Construction Games with Kepler's Solid," Austin, TX: Parker Courtney Press, 2001. (Sep 17, 2019) www.zometool.com/content/KowalewskiWeb.pdf.

[2] G. W. Hart, "A Color-Matching Dissection of the Rhombic Enneacontahedron," Symmetry: Culture and Science, 11, 2000 pp. 183–199. www.georgehart.com/dissect-re/dissect-re.htm.

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