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

Description:

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.

Date Made: ca 1920

Maker: Wheeler, Albert Harry

Location: Currently not on view

Place Made: United States: Massachusetts, Worcester

Subject: Mathematics

Subject:

See more items in: Medicine and Science: Mathematics, Science & Mathematics, Mathematical Association of America Objects

Exhibition:

Exhibition Location:

Credit Line: Gift of Helen M. Wheeler

Data Source: National Museum of American History

Id Number: MA.304723.205Accession Number: 304723Catalog Number: 304723.205

Object Name: geometric model

Physical Description: paper (overall material)tan (overall color)cut and glued (overall production method/technique)Measurements: average spatial: 14.8 cm x 19 cm x 19 cm; 5 13/16 in x 7 15/32 in x 7 15/32 in

Guid: http://n2t.net/ark:/65665/ng49ca746a9-31c5-704b-e053-15f76fa0b4fa

Record Id: nmah_1066721

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