Geometric Model by A. Harry Wheeler, Stellation of the Icosadodecahedron, Described by Wheeler as a Stellated Icosahedro

Extending the sides of polygons can produce a variety of complex polyhedra, including this one. It has twelve relatively sharp points, each with five triangular edges converging. These points alone would form a twelve-pointed star that is itself a stellation of the icosahedron. In addition, there are twenty three-sided points—not as sharp. These faces alone are like those of a great stellated dodecahedron. Wenninger refers to this model as the thirteenth stellation of the icosidodecahedron.

The model is cut and folded from paper. Wheeler assigned it the number 371, and classified it as icosahedron I10. He also pointed out that the inner faces could be considered as parts of five intersecting tetrahedra.

A related model (304723.204) is dated 1919, hence the approximate date assigned to this model.

References:

Magnus J. Wenninger, Polyhedron Models , Cambridge: The University Press, 1971, p. 55, 73, 88.

A. H. Wheeler, Catalog of Models , A. H. Wheeler Papers, Mathematics Collections, National Museum of American History.

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