Origami Heaven

A paperfolding paradise

The website of writer and paperfolding designer David Mitchell

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Constructing Polyhedra by Folding Paper
 
This page attempts to record what is known about the origin and history of how to construct polyhedra 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.

There is a separate page about constructing polyhedra using Cut and Fold Polyhedral Nets, which is a form of Cardboard Modelling / Cartonnage.

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Prisms

A method of making a square prism from a 4x4gGrid using cuts is given 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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Cubes

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Tetrahedra

A method of constructing a net for a tetrahedron, by folding, which will, I think, hold together without the need for glue, is given 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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Octahedra

A method of constructing a net for an octahedron, by folding, which will, I think, hold together without the need for glue, is given 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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The Cartonnage Silveroctahedron - 1889

'La Science Pratique' by Gaston Tissandier, which was published by G Masson in Paris in 1889, contains a design for a silveroctahedron under the name 'Ballon fait sans rognure avec un carre de papier ou d'etoffe' (Balloon made without offcuts from a sheet of paper or cloth), which is made in two parts which then need to be glued or sewn together.

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Icosahedra

A method of constructing a net for an icosahedron, by folding, which will, I think, hold together without the need for glue, is given 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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Dodecahedra

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