Origami Heaven

A paperfolding paradise

The website of writer and paperfolding designer David Mitchell

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Platonic Solids
 
There are, of course, five platonic solids, the tetrahedron, cube, octahedron, icosahedron and dodecahedron. Details of other modular origami versions of many of these solids by other modular paperfolders can be found in the MODE index on this site.
 
Tetrahedra
 
  Name: Mirror-Image Tetrahedron

Modules / Paper shape / Folding geometry: 2 mirror-image modules from double bronze rectangles using 60/30 degree folding geometry.

Designer / Date: David Mitchell, 1997.

Diagrams: In Mathematical Origami (1st Edition) - Tarquin Publications - ISBN 1-899618-18-X

 
  Name: Robust Tetrahedron

Modules / Paper shape / Folding geometry: 2 mirror-image equilateral modules from bronze rectangles using 60/30 degree folding geometry.

Designer / Date: David Mitchell, 2017

Diagrams: Not yet available.

 
  Name: Variable Tetrahedra. The positions of the flaps and pockets can be varied to create five tetrahedra, all of identical appearance, but each made from a different combination of modules.

Modules / Paper shape / Folding geometry: 2 modules from bronze rectangles using 60/30 degree folding geometry.

Designer / Date: David Mitchell, 2017

Diagrams: As Regular Tetrahedra in Mathematical Origami (2nd Edition) - David Mitchell - Tarquin publications - ISBN 9781911093169

 
  Name: Striped Mirror-Image Tetrahedron

Modules / Paper shape / Folding geometry: 2 mirror-image Abe or Terada modules or the equivalent geometry embedded in squares. 60/30 degree folding geometry.

Designer / Date: David Mitchell, 2003.

Diagrams: Not yet available.

 
  Name: 12-part Tetrahedron

Modules / Paper shape / Folding geometry: 12 modules from silver rectangles using 60/30 degree folding geometry.

Designer / Date: David Mitchell,1991.

Diagrams: In BOS Convention Pack Spring 1992.

 
Cubes
 
  Name: The Unconventional Cube - a stable cube made from modules created in just three folds and assembled in an irregular way.

Modules / Paper shape / Folding geometry: 6 modules from squares using standard folding geometry. Modules identical to those of the 3-Fold Paul Jackson Cube.

Designer / Date: David Mitchell, 2009.

Diagrams: On-line diagrams are available on the Modular Designs page of this site.

 
  Name: The Simplex Cube

Modules / Paper shape / Folding geometry: 24 L-shaped Simplex modules from squares using standard folding geometry. Cubes made from larger numbers of modules are also possible.

Designer / Date: David Mitchell, 1989.

Diagrams: On-line diagrams are available on the Modular Designs page of this site.

 
Octahedra
 
  Name: Regular Octahedron (2-part)

Modules / Paper shape / Folding geometry: 2 modules folded from double bronze rectangles using 60/30 degree folding geometry.

Designer / Date: David Mitchell, 1998.

Diagrams: In Mathematical Origami (1st Edition) - Tarquin Publications - ISBN 1-899618-18-X

 
  Name: Robust Octahedron

Modules / Paper shape / Folding geometry: 4 equilateral modules folded from bronze rectangles using 60/30 degree folding geometry.

Designer / Date: David Mitchell, 1998.

Diagrams: As Regular Octahedron in Mathematical Origami (2nd Edition) - David Mitchell - Tarquin publications - ISBN 9781911093169

 
Icosahedra
 
  Name: Robust Icosahedron

Modules / Paper shape / Folding geometry: 10 equilateral modules in 2 sets of 5 mirror-image versions folded from double bronze rectangles using 60 degree folding geometry.

Designer / Date: David Mitchell, 1998.

Diagrams: As Regular Icosahedron in Mathematical Origami (2nd Edition) - David Mitchell - Tarquin publications - ISBN 9781911093169

 
  Name: Striped Mirror-Image Icosahedron - can be made from Abe or Terada modules or from the equivalent designs embedded in squares.

Modules / Paper shape / Folding geometry: 10 modules in 2 sets of 5 mirror-image versions folded from bronze rectangles or squares using 60/30 degree folding geometry.

Designer / Date: Modules - Various. Assembly - David Mitchell, 2003.

Diagrams: Not yet available.

 
Dodecahedra
 
  Name: Dodecahedron with Windows

Modules / Paper shape / Folding geometry: 30 modules from rectangles using silver folding geometry.

Designer / Date: David Mitchell, 1989 / Francis Ow, similar date or possibly earlier.

Diagrams: Version with larger windows as 'Outline Dodecahedron' in Mathematical Origami - Tarquin Publications - ISBN 1-899618-18-X // In Portuguese - Origami matematicos - Republicao - ISBN 972-570-257-3 // On-line diagrams for the version pictured here are available on the Modular Designs page of this site.

 
  Name: Robust Dodecahedron

Modules / Paper shape / Folding geometry: 30 modules from mock platinum rectangles.

Designer / Date: David Mitchell, 1992.

Diagrams: As Regular Dodecahedron in Mathematical Origami (2nd Edition) - David Mitchell - Tarquin publications - ISBN 9781911093169