This cut and folded tan paper model of a regular dodecahedron has two lines drawn on each face, so as to produce one isoceles triangle and two faces of triangular pyramids. The apexes of the triangular pyramids are verticies of the dodecahedron. Trundating the solid to eliminate the triangular pyramids would leave an irregular but symmetrical icosahedron.
One face of the regular dodecahedron is missing.
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