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Painting - Pi Squared and Its Square Root

American History Museum

Pi Squared and Its Square Root
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  • Pi Squared and Its Square Root
  • Diagram for Paintings Pi Squared and Its Square Root and Square Root of Pi

    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

    date made

    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

    Data Source

    National Museum of American History

    Metadata Usage

    CC0

    Link to Original Record

    https://n2t.net/ark:/65665/ng49ca746a5-1948-704b-e053-15f76fa0b4fa

    Record ID

    nmah_694678

    Discover More

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    Where Art Meets Math

    Painting of a isosceles triangular shape with a rounded base. Shades progress from dark to lighter tints of purple to show pendulum motion

    About

    Painting of a isosceles triangular shape with a rounded base. Shades progress from dark to lighter tints of purple to show pendulum motion

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