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Constructing the Cubus simus and the Dodecaedron simum via paper folding
The archimedean solids Cubus simus (snub cube) and Dodecaedron simum (snub
dodecahedron) cannot be constructed by ruler and compass. We explain that for
general reasons their vertices can be constructed via paper folding on the
faces of a cube, respectively dodecahedron, and we present explicit folding
constructions. The construction of the Cubus simus is particularly elegant. We
also review and prove the construction rules of the other Archimedean solids.Comment: 13 pages, 12 figures, v2: as published in Geometriae Dedicat