Geometric Model by A. Harry Wheeler, Dissected Cube that, with a Second Cube, IsTransformable Into a Pentagonal Dodecahedron?, Dissected Polyhedron

Geometric Model by A. Harry Wheeler, Dissected Cube that, with a Second Cube, IsTransformable Into a Pentagonal Dodecahedron?, Dissected Polyhedron

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Description
This folded paper model is a dissected cube. It contains within it an eight-pointed star and six five-sided polyhedra. The five-sided polyhedra are hinged and may be rearranged to form a regular dodecahedron less a cube in the center, a pentagonal dodecahedron and an eight-pointed star. The model fits snugly in a paper box, folded in the shape of a cube. Another cube that would fit into the center is MA.304723.298. Hence, combining MA.304723.312 and MA.304723.298, one has two cubes that may be rearranged to form a regular dodecahedron, a pentagonal dodecahedron, and an eight-pointed star.
This is Wheeler's model 766. Compare MA.304723.298 and MA.304723.312.
Location
Currently not on view
Object Name
Geometric Model
date made
1930 04 02
maker
Wheeler, Albert Harry
place made
United States: Massachusetts, Worcester
Physical Description
paper (overall material)
tan (overall color)
cut and folded (overall production method/technique)
Measurements
average spatial: 8 cm x 8 cm x 8 cm; 3 5/32 in x 3 5/32 in x 3 5/32 in
ID Number
MA.304723.312
accession number
304723
catalog number
304723.312
Credit Line
Gift of Helen M. Wheeler
subject
Mathematics
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Dissected Polyhedra
Data Source
National Museum of American History
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