Geometric Model by A. Harry Wheeler, Equilateral Triangle with Inscribed Rectangle or Parallelogram with an Inscribed Square, Plane Dissection

Hinged Plane Dissection, Three quadrilaterals and one triangle which can be arranged as a triangle or a quadrilateral (front side).

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Hinged Plane Dissection, Three quadrilaterals and one triangle which can be arranged as a triangle or a quadrilateral (front side).
Hinged Plane Dissection, Three quadrilaterals and one triangle which can be arranged as a triangle or a quadrilateral (back side).
Hinged Plane Dissection, Three quadrilaterals and one triangle which can be arranged as a triangle or a quadrilateral (front side).
Hinged Plane Dissection, Three quadrilaterals and one triangle which can be arranged as a triangle or a quadrilateral (back side).

Object Details

maker

Wheeler, Albert Harry

Description

The four pieces of this hinged dissection have plastic on both sides and a wooden core. They can be arranged as an equilateral triangle or a square.The pieces on one side have smaller plastic parts on them so that the equilateral triangle appears to have an inscribed rectangle.

This is a special case of Wheeler's model 4K (trapezoid into a triangle) in his list of decompositions of polygons.

Compare MA.304723.813.

Location

Currently not on view

Credit Line

Gift of Helen M. Wheeler

ID Number

MA.304723.814

accession number

304723

catalog number

304723.814

Object Name

geometric model

Physical Description

plastic (overall material)

wood (overall material)

metal (overall material)

red (overall color)

blue (overall color)

brown (overall color)

green (overall color)

hinged (overall production method/technique)

Measurements

average spatial: 1.5 cm x 10.5 cm x 9 cm; 19/32 in x 4 1/8 in x 3 17/32 in

place made

United States: Massachusetts, Worcester

See more items in

Medicine and Science: Mathematics

Science & Mathematics

Plane Dissections

Data Source

National Museum of American History

Subject

Mathematics

Metadata Usage

CC0

Link to Original Record

https://n2t.net/ark:/65665/ng49ca746a9-4076-704b-e053-15f76fa0b4fa

Record ID

nmah_1075804