Origami Heaven

A paperfolding paradise

The website of writer and paperfolding designer David Mitchell

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Constructing Polygons by Folding Paper
 
This page attempts to record what is known about the origin and history of how to construct polygons by folding paper. Please contact me if you know any of this information is incorrect or if you have any other information that should be added. Thank you.

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Equilateral Triangles

A method of constructing an equilateral triangle from a square is found in 'El Plegado y Cartonaje en la Escuela Primaria' by Antonio M Luchia and Corina Luciani de Luchia, which was published by Editorial Kapelusz in Buenos Aires in 1940.

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Regular Pentagons

A method of constructing a regular pentagon from a square is found in 'El Plegado y Cartonaje en la Escuela Primaria' by Antonio M Luchia and Corina Luciani de Luchia, which was published by Editorial Kapelusz in Buenos Aires in 1940.

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Regular Hexagons

From a Mobius Band - 1893 onwards

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Two methods of constructing a regular hexagon are found in 'El Plegado y Cartonaje en la Escuela Primaria' by Antonio M Luchia and Corina Luciani de Luchia, which was published by Editorial Kapelusz in Buenos Aires in 1940.

From an equilateral triangle

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From a Rectangle

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Stars of David

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Regular Heptagons

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Regular Octagons

Two methods of constructing a regular decagon are found in 'El Plegado y Cartonaje en la Escuela Primaria' by Antonio M Luchia and Corina Luciani de Luchia, which was published by Editorial Kapelusz in Buenos Aires in 1940.

Construction of a Regular Octagon from Two Squares

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Construction of a Regular Octagon from a Single Square

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Regular Decagons

A method of constructing a regular decagon from a regular pentagon is found in 'El Plegado y Cartonaje en la Escuela Primaria' by Antonio M Luchia and Corina Luciani de Luchia, which was published by Editorial Kapelusz in Buenos Aires in 1940.

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Regular Dodecagons

A method of constructing a regular dodecagon from a regular hexagon is found in 'El Plegado y Cartonaje en la Escuela Primaria' by Antonio M Luchia and Corina Luciani de Luchia, which was published by Editorial Kapelusz in Buenos Aires in 1940.

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Oblongs

'At Home Tonight' by Herbert McKay, which was published by Oxford University Press in London, New York and Toronto in 1940, gives a way of constructing an oblong from an irregularly shaped sheet of paper.

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Rhombii

A method of constructing a 60/120 degree rhombus from an equilateral triangle is found in 'El Plegado y Cartonaje en la Escuela Primaria' by Antonio M Luchia and Corina Luciani de Luchia, which was published by Editorial Kapelusz in Buenos Aires in 1940.

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Parallelograms

A method of constructing a 45 / 135 degree parallelogram from a square is found in 'El Plegado y Cartonaje en la Escuela Primaria' by Antonio M Luchia and Corina Luciani de Luchia, which was published by Editorial Kapelusz in Buenos Aires in 1940.

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