Model by Philip Malmberg, a Student of A.H. Wheeler, Cylinder Transformable into a Hyperboloid of One Sheet
date: label: date made
content: 1927 02 23
name: label: teacher of maker
content: Wheeler, Albert Harry
label: maker
content: Malmberg, Philip
notes: label: Description
content: 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.
label: Description
content: 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.
label: Description
content: For a photograph of Malmberg, see 1979.0102.308.
label: Location
content: Currently not on view
place: label: place made
content: United States: Massachusetts, Worcester
topic: label: Subject
content: Mathematics
setName: label: See more items in
content: Medicine and Science: Mathematics
label: See more items in
content: Science & Mathematics
label: See more items in
content: Mathematical Association of America Objects
creditLine: label: Credit Line
content: Gift of Helen M. Wheeler
dataSource: label: Data Source
content: National Museum of American History
identifier: label: ID Number
content: MA.304723.501
label: accession number
content: 304723
label: catalog number
content: 304723.501
objectType: label: Object Name
content: geometric model
physicalDescription: label: Physical Description
content: paper (discs material)
label: Physical Description
content: wood (spools, dowel material)
label: Physical Description
content: thread (surface material)
label: Physical Description
content: wire (spring material)
label: Physical Description
content: white (overall color)
label: Physical Description
content: brown (overall color)
label: Physical Description
content: cut and glued (overall production method/technique)
label: Measurements
content: 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