Origami Heaven

A paperfolding paradise

The website of writer and paperfolding designer David Mitchell

x

 
Cuboctahedra
 
Polyhedra
 
  Name: Mirror-Image Cuboctahedra

Modules / Paper shape / Folding geometry: 2 sets of 2 mirror-image modules folded from bronze rectangles using 60/30 degree folding geometry, which will go together in two different ways to create the twin designs pictured here.

Designer / Date: David Mitchell, 2000.

Diagrams: Not yet available.

 
  Name: The Paul Jackson Cuboctahedron - produced by inverting all the corners of the Paul Jackson Cube to the mid-point of each edge.

Modules / Paper shape / Folding geometry: 6 modules from squares using standard folding geometry.

Designer / Date: Paul Jackson, shortly after discovering his eponymous cube, in the early 1970s.

Diagrams: Not yet available.

 
  Name: The Windmill Base Cuboctahedron - so named because the modules are obtained by partially opening out the folds of a standard windmill base.

Modules / Paper shape / Folding geometry: 6 modules from squares using standard folding geometry.

Designer / Date: I discovered this design in 1989. It has also been discovered by Michael Naughton around about the same time. Priority though probably belongs to Natala Fietta who published the design in 1986 in Quaderni di Quadrato Magico no 11.

 
  Name: The Butterfly Ball

Modules / Paper shape / Folding geometry: 12 very simple modules from squares using standard folding geometry.

Designer / Date: Kenneth Kawamura, early to mid 1970s.

Diagrams: Diagrams were published in Kenneth Kawamura's booklet 'Meditations on a Waterbomb' in 1977.

 
  Name: Skeletal Cuboctahedron (12-part) or Nolid Cuboctahedron (12-part)

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

Designer / Date: Tung Ken Lam

Diagrams:

 
  Name: Skeletal Cuboctahedron (24-part) or Nolid Cuboctahedron (24-part)

Modules / Paper shape / Folding geometry: 24 modules from hexagons, squares or double bronze rectangles using 60/30 degree geometry.

Designer / Date: David Mitchell, 1988.

Diagrams: From double bronze rectangles in Mathematical Origami - Tarquin Publications - ISBN 1-899618-18-X.5

 
Modular Sculptures
 
  Name: Elite

Modules / Paper shape / Folding geometry: 24 modules from silver rectangles.

Designer / Date: David Mitchell, 1991.

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