Model by A. Harry Wheeler, Great Stellated Dodecahedron
date: label: date made
content: 1925 06 12
name: label: maker
content: Wheeler, Albert Harry
notes: label: Description
content: A stellation of a regular polyhedron is a polyhedron with faces formed by extending the sides of the faces of the regular polyhedron. For example, if one extends the sides of a regular pentagon, one can obtain a five-pointed star or pentagram. Considering the union of the twelve pentagrams formed from the twelve pentagonal faces of a regular dodecahedron, one obtains this surface, known as a great stellated dodecahedron. It also could be created by gluing appropriate triangular pyramids to the faces of a regular icosahedron – there are a total of sixty triangular faces.
label: Description
content: The great stellated dodecahedron was published by Wenzel Jamnitzer in 1568. It was rediscovered by Johannes Kepler and published in his work <I>Harmonice Mundi</I> in 1619. The French mathematician Louis Poinsot rediscovered it in 1809, and the surface and three related stellations are known as a Kepler-Poinsot solids.
label: Description
content: This white paper cut and folded model of a great stellated dodecahedron is marked: 6-12-25. It also is marked: No 43. A. Harry Wheeler assigned the model number 43 in his scheme, and considered it as the fourth species of a dodecahedron.
label: Description
content: Compare MA.304723.084, M.304723.085, 1979.0102.016, and 1979.0102.253.
label: Description
content: References:
label: Description
content: Wenzel Jamnitzer, <I>Perspectiva Corporum Regularium</I>, Nuremberg, 1568.
label: Description
content: Magnus J. Wenninger, <I>Polyhedron Models</I>, Cambridge: The University Press, 1971, p. 40.
label: Description
content: A. H. Wheeler, <I>Catalog of Models</I>, A. H. Wheeler Papers, Mathematics Collections, National Museum of American History.
label: Location
content: Currently not on view
place: label: place made
content: United States: Massachusetts, Worcester
topic: label: Subject
content: Mathematics
setName: label: See more items in
content: Medicine and Science: Mathematics
label: See more items in
content: Science & Mathematics
creditLine: label: Credit Line
content: Gift of Helen M. Wheeler
dataSource: label: Data Source
content: National Museum of American History
identifier: label: ID Number
content: MA.304723.085
label: accession number
content: 304723
label: catalog number
content: 304723.085
objectType: label: Object Name
content: Geometric Model
physicalDescription: label: Physical Description
content: paper (overall material)
label: Physical Description
content: tan (overall color)
label: Physical Description
content: cut and folded (overall production method/technique)
label: Measurements
content: average spatial: 9 cm x 10 cm x 11 cm; 3 17/32 in x 3 15/16 in x 4 11/32 in