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Model by Philip Malmberg, a Student of A.H. Wheeler, Cylinder Transformable into a Hyperboloid of One Sheet

American History Museum

Model by Student of A.H. Wheeler, Cylinder Transformable into a Hyperboloid of One Sheet
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  • Model by Student of A.H. Wheeler, Cylinder Transformable into a Hyperboloid of One Sheet
  • Model by Student of A.H. Wheeler, Cylinder Transformable into a Hyperboloid of One Sheet
  • Model by Student of A.H. Wheeler, Cylinder Transformable into a Hyperboloid of One Sheet
  • Model by Student of A.H. Wheeler, Cylinder Transformable into a Hyperboloid of One Sheet
  • Model by Student of A.H. Wheeler, Cylinder Transformable into a Hyperboloid of One Sheet

    Object Details

    teacher of maker

    Wheeler, Albert Harry

    maker

    Malmberg, Philip

    Description

    Joining points along the radius of two circles generates a family of straight lines. If the circles are at their maximum separation, the lines form a cylinder. When rotated, the circles approach and the surface becomes a hyperboloid of one sheet. Further rotation (not possible on this model) yields a double cone.
    String models with elegant brass frames sold for engineering and mathematics education sold from the nineteenth century (see 1985.0112.009). Philip Malmberg, a high school student of A. Harry Wheeler, made this inexpensive version of the surface. He used disks cut from a cardboard box, leftover spools from thread, a wooden dowel, a bit of wire, and thread. Census records indicate that Malmberg went on to work as a draftsman.
    For a photograph of Malmberg, see 1979.0102.308.

    Location

    Currently not on view

    Credit Line

    Gift of Helen M. Wheeler

    date made

    1927 02 23

    ID Number

    MA.304723.501

    accession number

    304723

    catalog number

    304723.501

    Object Name

    geometric model

    Physical Description

    paper (discs material)
    wood (spools, dowel material)
    thread (surface material)
    wire (spring material)
    white (overall color)
    brown (overall color)
    cut and glued (overall production method/technique)

    Measurements

    average spatial: 11 cm x 7.8 cm x 7.8 cm; 4 11/32 in x 3 1/16 in x 3 1/16 in

    place made

    United States: Massachusetts, Worcester

    See more items in

    Medicine and Science: Mathematics
    Science & Mathematics
    Mathematical Association of America Objects

    Data Source

    National Museum of American History

    Subject

    Mathematics

    Metadata Usage

    CC0

    Link to Original Record

    https://n2t.net/ark:/65665/ng49ca746a9-27b7-704b-e053-15f76fa0b4fa

    Record ID

    nmah_1071339

    Discover More

    Figure made of 4 intersecting cubes. One is yellow, one black, one red, and one blue.

    Geometric Models - A. Harry Wheeler

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