Painting - Heptagon 1:3:3 Triangle

Description
This painting is part of Crockett Johnson's exploration of the properties of the heptagon, extended to include a 14-sided regular polygon. The design of the painting is shown in his figure, which includes many of the line segments in the painting. Here Crockett Johnson argues that the triangle ABF in the figure is the one he sought, with angle FAB being one seventh of pi. Segment CD in the figure, which appears in the painting, is the length of the edge of a regular 14-sided figure inscribed in a portion of the larger circle shown.
The painting, of oil or acrylic on masonite, is number 105 in the series. It is drawn in shades of cream, blue, and purple on a light purple background. It has a metal frame and is unsigned.
Location
Currently not on view
Object Name
painting
date made
ca 1973
painter
Johnson, Crockett
Physical Description
masonite (substrate material)
metal (frame material)
Measurements
overall: 77 cm x 41 cm x 2.5 cm; 30 5/16 in x 16 1/8 in x in
ID Number
1979.1093.72
catalog number
1979.1093.72
accession number
1979.1093
subject
Art
Science & Mathematics
Crockett Johnson
See more items in
Medicine and Science: Mathematics
Crockett Johnson
Data Source
National Museum of American History, Kenneth E. Behring Center
Credit Line
Ruth Krauss in memory of Crockett Johnson
Additional Media

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