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Painting - Pi Squared and Its Square Root

National Museum of American History

Object Details

painter
Johnson, Crockett
Description
This painting is part of Crockett Johnson's exploration of constructions that might take place if one could draw squares equal in area to circles. It is based on a figure that includes two squares and a rectangle. The smaller square (ABDX in Crockett Johnson's figure) is defined as having the same area as the circle circle with center O and diameters the diagonals of the rectangle with sides CE and EX. This circle also appears in his other diagram, although it does not appear in the painting. Other assumptions concerning the upper diagram are that the rectangle has area the square root of the area of the circle and that the triangles with sides CX and PX are isosceles and congruent.
If the small circle has radius one.and the are of the rectangle is assumed to be the square root of the area of that circle and the small square, the area of the rectangle is the square root of pi.
The painting is #83 in the series. It is in oil or acrylic on masonite. There is a black wooden frame. The work is unsigned and undated.
Location
Currently not on view
Credit Line
Ruth Krauss in memory of Crockett Johnson
1970-1975
ID Number
1979.1093.54
catalog number
1979.1093.54
accession number
1979.1093
Object Name
painting
Physical Description
masonite (substrate material)
wood (frame material)
Measurements
overall: 70 cm x 84.4 cm x 3.8 cm; 27 9/16 in x 33 1/4 in x 1 1/2 in
overall: 29 in x 2 in x 35 in; 73.66 cm x 5.08 cm x 88.9 cm
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Crockett Johnson
Art
National Museum of American History
Record ID
nmah_694678
Metadata Usage (text)
CC0
GUID (Link to Original Record)
https://n2t.net/ark:/65665/ng49ca746a5-1948-704b-e053-15f76fa0b4fa

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  • Mathematical Paintings of Crockett Johnson

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Pi Squared and Its Square Root
There are restrictions for re-using this image. For more information, visit the Smithsonian's Terms of Use page .
International media Interoperability Framework
IIIF provides researchers rich metadata and media viewing options for comparison of works across cultural heritage collections. Visit the IIIF page to learn more.
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