1. Kowalewski's Coloring of the Triacontahedron

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Kowalewski colored the rhombic triacontahedron with five and with six colors.


Coloring with five colors consists of dividing the 30 faces of the solid into five groups. Each group consists of six faces that are either parallel or perpendicular to each other.

The solid can be covered by six bands, each consisting of 10 faces. Each face of the solid is a crossing of two bands. Bands are colored by different colors and arranged with crossings going alternately over and under.

The solid is represented with a map projection; colors are chosen using toggler bars.


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




[1] G. Kowalewski and D. Booth, "Construction Games with Kepler's Solid," Austin, TX: Parker Courtney Press, 2001. (Jul 16, 2019) www.zometool.com/content/KowalewskiWeb.pdf.

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