Geometric Model by A. Harry Wheeler, Tetrakaidekahedron Fourth Species


Wheeler designed several models that extended a model with fourteen faces. This is what he called the “fourth species” of the tetrakaidekahedron. It has eight regions that are small triangular pyramids facing inward and hence contribute three triangular sides each. It also has six regions that contribute eight triangular sides each. Finally, twelve regions have two pentagonal and two triangular sides. Many sides appear to be coplanar.

A mark on the model reads: Tetrakaidodecahedron (/) Fourth Species. A paper tag reads: RS 21. Another mark reads: 9 / 27.

Compare MA.304723.072 and MA.304723.073. They are not identical.

Maker: Wheeler, Albert Harry

Location: Currently not on view

Place Made: United States: Massachusetts, Worcester

Subject: Mathematics

See more items in: Medicine and Science: Mathematics, Science & Mathematics


Exhibition Location:

Credit Line: Gift of Helen M. Wheeler

Data Source: National Museum of American History

Id Number: MA.304723.072Accession Number: 304723Catalog Number: 304723.072

Object Name: Geometric Model

Physical Description: paper (overall material)tan (overall color)cut and folded (overall production method/technique)Measurements: average spatial: 10 cm x 11.5 cm x 12.5 cm; 3 15/16 in x 4 17/32 in x 4 29/32 in


Record Id: nmah_1065413

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