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 (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 (back side).

Object Details

maker

Wheeler, Albert Harry

Description

The four pieces of this hinged dissection have plastic attached to both sides and a wooden central core. The pieces form an equilateral triangle with an inscribed rectangle which transforms into a parallelogram with an inscribed square.

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

Compare MA.304723.814.

Location

Currently not on view

Credit Line

Gift of Helen M. Wheeler

ID Number

MA.304723.813

accession number

304723

catalog number

304723.813

Object Name

geometric model

Physical Description

plastic (overall material)

wood (overall material)

metal (overall material)

pink (overall color)

red (overall color)

blue (overall color)

hinged (overall production method/technique)

Measurements

average spatial: 1.5 cm x 10.3 cm x 8.8 cm; 19/32 in x 4 1/16 in x 3 15/32 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/ng49ca746a9-4075-704b-e053-15f76fa0b4fa

Record ID

nmah_1075802