Origami Heaven

A paperfolding paradise

The website of writer and paperfolding designer David Mitchell

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Deltahedra
 
I use the term deltahedra to refer to solids whose faces are all equilateral triangles.
 
Regular 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, 1998

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: Quartetra

Modules / Paper shape / Folding geometry: 4 modules from hexagons. 60/30 degree folding geometry.

Designer / Date: David Mitchell, 1988.

Diagrams: Paperfolding Puzzles (2nd Edition) - David Mitchell - Water Trade - ISBN 978-0-9534774-5-6.

 
  Name: Reptile Tetrahedron

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

Designer / Date: David Mitchell, 1997.

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

 
  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.

 
Regular Octahedra and other Deltahedral Bi-Pyramids
 
  Name: Robust Triangular Equilateral Bi-Pyramid

Modules / Paper shape / Folding geometry: 3 equilateral modules folded from bronze rectangles using 60/30 degree folding geometry.

Designer / Date: David Mitchell, 2017.

Diagrams: As Triangular Equilateral Bi-Pyramid in Mathematical Origami (2nd Edition) - David Mitchell - Tarquin publications - ISBN 9781911093169

 
  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

 
  Name: Robust Pentagonal Equilateral Bi-Pyramid

Modules / Paper shape / Folding geometry: 5 equilateral modules folded from bronze rectangles using 60/30 degree folding geometry.

Designer / Date: David Mitchell, 2017.

Diagrams: As Pentagonal Equilateral Bi-Pyramid in Mathematical Origami (2nd Edition) - David Mitchell - Tarquin publications - ISBN 9781911093169

 
Regular Icosahedra
 
  Name: Robust Icosahedron

Modules / Paper shape / Folding geometry: 10 equilateral modules in 2 sets of 5 mirror-image versions folded from 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.

 
The Equilateral Dodecahedron
 
  Name: The Robust Equilateral Dodecahedron

Modules / Paper shape / Folding geometry: 6 equilateral modules in 2 sets of 3 mirror-image versions folded from bronze rectangles using 60 degree folding geometry.

Designer / Date: David Mitchell, 2017.

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

 
The Equilateral Hexakaidecahedron
 
  Name: The Robust Equilateral Hexacaidecahedron

Modules / Paper shape / Folding geometry: 8 equilateral modules in 2 sets of 4 mirror-image versions folded from bronze rectangles using 60 degree folding geometry.

Designer / Date: David Mitchell, 2017.

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

 
The Equilateral Heccaidecahedron
 
Details not yet available.