Cube Transformable into A Stella Octangula and Three Octahedra - Dissected Polyhedron

Description:

This model includes one model of a regular octahedron, two pieces which fit around the octahedron to form a stellated octahedron or stella octangula (to use Kepler's language), and three sets of four triangular pyramids hinged together. These twelve pyramids fit around the points of the octangula to complete the cube. Each set of four may also be arranged to form a regular octahedron congruent to the one inside the stellar octangula. Hence this is a dissection of the volume of a cube into a stella octangula and three octahedra.

A mark on the object reads: 764.

Compare MA.304723.284 (small, paper), MA.304723.308 (slightly larger, paper), MA.304723.318 (large size, paper) and MA.304723.305.

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, Dissected Polyhedra, Science & Mathematics

Exhibition:

Exhibition Location:

Credit Line: Gift of Helen M. Wheeler

Data Source: National Museum of American History

Id Number: MA.304723.305Accession Number: 304723Catalog Number: 304723.305

Object Name: Geometric Model

Physical Description: plastic (overall material)tan (overall color)cut and taped (overall production method/technique)Measurements: average spatial: 9 cm x 9 cm x 9 cm; 3 17/32 in x 3 17/32 in x 3 17/32 in

Guid: http://n2t.net/ark:/65665/ng49ca746a9-1f39-704b-e053-15f76fa0b4fa

Record Id: nmah_1067593

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