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

Catalog Data

Teacher of maker:
Wheeler, Albert Harry  Search this
Maker:
Malmberg, Philip  Search this
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
Object Name:
geometric model
Place made:
United States: Massachusetts, Worcester
Date made:
1927 02 23
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
Subject:
Mathematics  Search this
Credit Line:
Gift of Helen M. Wheeler
ID Number:
MA.304723.501
Accession number:
304723
Catalog number:
304723.501
See more items in:
Medicine and Science: Mathematics
Science & Mathematics
Mathematical Association of America Objects
Data Source:
National Museum of American History
GUID:
http://n2t.net/ark:/65665/ng49ca746a9-27b7-704b-e053-15f76fa0b4fa
EDAN-URL:
edanmdm:nmah_1071339