Geometric Model by A. Harry Wheeler, Square Transformable into a Square and Two Rectangles, Plane Dissection
name: label: maker
content: Wheeler, Albert Harry
notes: label: Description
content: The hinged dissection has three hinged pieces (two of the triangles and the small square are glued together). They may be arranged as a large square or as two rectangles and a smaller square. If the side of the large square is c and the sides of the triangles are a and b (a longer than b), then the area of the small square is (a-b)<sup>2</sup>. The area of each of the four triangles is 1/2ab. Hence c<sup>2</sup> = (a-b)<sup>2</sup> + 4(1/2)ab. Hence c<sup>2</sup> = a<sup>2</sup> + b<sup>2</sup>, as the Pythagorean theorem would indicate. The model resembles Wheeler's 6SI (square into gnommon), but has only five pieces and is quite different from MA.304723.763, which is labeled as an example of that model.
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
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content: Science & Mathematics
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content: Plane Dissections
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.304723.767
label: catalog number
content: 304723.767
label: accession number
content: 304723
objectType: label: Object Name
content: geometric model
physicalDescription: label: Physical Description
content: plastic (overall material)
label: Physical Description
content: wood (overall material)
label: Physical Description
content: metal (overall material)
label: Physical Description
content: gold (overall color)
label: Physical Description
content: red (overall color)
label: Physical Description
content: black (overall color)
label: Physical Description
content: green (overall color)
label: Physical Description
content: yellow (overall color)
label: Physical Description
content: cut, glued and hinged (overall production method/technique)
label: Measurements
content: average spatial: 1.3 cm x 15.6 cm x 15.6 cm; 1/2 in x 6 5/32 in x 6 5/32 in