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Painting - Squares of 2, 4, 16 from Square Root of x

National Museum of American History

Object Details

painter
Johnson, Crockett
Description
In this painting, Crockett Johnson supposed that one was given two lengths, one the square root of the second. Although no numerical values were given, he sought to construct three squares, one the square root of the second and the second the square root of the third, and to give their values numerically. His solution is represented in the painting, and described in his notes as work from 1972.
The three squares are visible, one the entire surface of the painting and the two others within it. The vertical lines point to the starting point of the painting, a line segment along the base and its square root. From here, Crockett Johnson constructed the elaborate geometrical argument illustrated by the painting. He claimed that he had constructed squares of area 2, 4, and 16. The ratios of the areas are as he describes, but the absolute numerical values depend on the units of measure.
This oil painting on masonite is #88 in the series. It is unsigned. There is an inset metal strip in the wooden frame.
Location
Currently not on view
Credit Line
Ruth Krauss in memory of Crockett Johnson
1972
ID Number
1979.1093.57
catalog number
1979.1093.57
accession number
1979.1093
Object Name
painting
Physical Description
masonite (substrate material)
wood (frame material)
metal (frame material)
Measurements
overall: 122 cm x 120.6 cm x 3.8 cm; 48 1/16 in x 47 1/2 in x 1 1/2 in
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Crockett Johnson
Art
National Museum of American History
Record ID
nmah_694681
Metadata Usage (text)
CC0
GUID (Link to Original Record)
https://n2t.net/ark:/65665/ng49ca746a5-1a1c-704b-e053-15f76fa0b4fa

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Squares of 2, 4, 16 from Square Root of x
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