Origami Heaven

A paperfolding paradise

The website of writer and paperfolding designer David Mitchell

 

 
2-part Modular Designs
 
Flat Designs
 
  Name: A Marriage of Opposites

Modules / Paper shape / Folding geometry: 2 mirror-image Maverick modules from squares using standard folding geometry.

Designer / Date: Tomoko Fuse, 1980s. David Mitchell, 1990. Different folding method, same result.

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

 
  Name: Star of David

Modules / Paper shape / Folding geometry: 2 modules from equilateral triangles using 120/60 folding geometry.

Designer / Date: Lewis Simon, possibly 1970s..

Diagrams: In Origami Christmas Tree Decorations, Paul Jackson, BOS booklet 20, 1982.

 
  Name: Ring of 8 Squares

Modules / Paper shape / Folding geometry: 2 modules from squares using standard folding geometry.

Designer / Date: Wayne Brown, c1982.

Diagrams: In Origami Christmas Tree Decorations, Paul Jackson, BOS booklet 20, 1982.

 
3D Designs
 
  Name: The Preliminary Ornament is made by the simple expedient of weaving together two Preliminary Folds.

Modules / Paper shape / Folding geometry: 2 modules from squares using standard folding geometry.

Designer / Date: The earliest publication of this design that I know of is in The Origamian Vol 7 Issue 4 of Winter 1967 where it is called Tree Ornament and attributed to Molly Kahn. It is, however, not at all unlikely that it goes back much further than that.

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

 
  Name: The Spinner

Modules / Paper shape / Folding geometry: 2 modules from squares using standard folding geometry.

Designer / Date: Possibly first designed by Alice Gray in the 1970s as a hanging ornament, though probably earlier, but also makes an excellent wind-top if held between the palms and blown at gently. I do not know who first discovered it would function as a toy in this way.

Diagrams: Presented as an ornament - in Paul Jackson's Origami Christmas Tree Decorations - British Origami Society booklet 20 - 1982. Presented as an action toy - in Origami - David Mitchell - Barnes and Noble 2002 - ISBN 0-7607-3331-7.

 
  Name: The Oblong Ornament is a version of the Preliminary Ornament that can be made from any two identical oblongs.

Modules / Paper shape / Folding geometry: 2 modules from any rectangle.

Designer / Date: David Mitchell, 1993.

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

 
  Name: Molly Kahn's Tree Ornament aka Fluted Diamond

Modules / Paper shape / Folding geometry: 2 modules from squares using standard folding geometry.

Designer / Date: Molly Kahn, 1967.

Diagrams: In The Origamian Vol 7 Issue 4 of Winter 1967. Diagrams also in Origami Christmas Tree Decorations, Paul Jackson, BOS booklet 20, 1982.

 
  Name: Robert Neale's 2-part Octahedron - a classic design that is a true joy to fold and assemble. Will collapse flat and pop back into shape.

Modules / Paper shape / Folding geometry: 2 modules from squares using standard folding geometry.

Designer / Date: Robert Neale, 1968.

Diagrams: As Octohedron In The Origamian Vol 8 Issue 3 of Winter 1968.

 
  Name: The Embroidered Ball aka the Skillman Ball has the interesting property that it can be squashed flat in two directions, although this property does not appear to have been known or appreciated at the time of its first publication.

Modules / Paper shape / Folding geometry: 2 modules from squares using standard folding geometry.

Designer / Date: Jack J Skillman, c1969..

Diagrams: In Flapping Bird magazine no 4, 1969. Also in More Origami: The Art of Paperfolding No 2 in 1971 and Origami Christmas Tree Decorations, Paul Jackson, BOS booklet 20, 1982.

 
  Name: 2-part Decoration

Modules / Paper shape / Folding geometry: 2 modules from squares using standard folding geometry.

Designer / Date: David Mitchell, 1989. Has also been independently discovered by Tung Ken Lam who realised it will squash flat in two directions, thus turning a rather ordinary paperfold into a charming toy. On seeing this I realised that the Skillman Ball will also squash flat, something I had previously not been aware of.

Diagrams: Not yet available.

 
  Name: Nordquist's Ornament

Modules / Paper shape / Folding geometry: 2 modules from 2x3 rectangles using standard folding geometry.

Designer / Date: John M Nordquist, c1963.

Diagrams: In Samuel Randlett's The Best of Origami, Faber and Faber, 1964.

 
  Name: Nordquist's Ornament (from squares) - the first known nolid octahedron design - aka Two-Piece Octahedron Skeleton.

Modules / Paper shape / Folding geometry: 2 modules from squares using standard folding geometry.

Designer / Date: John M Nordquist, c1963.

Diagrams: Photo and description only in The Best of Origami, Samuel Randlett, Faber and Faber, 1964. Diagrams in 3-D Geometric Origami, Gurkewitz and Arnstein, Dover, 1995 where the design is called the Two-Piece Octahedron Skeleton and attributed to Bennett Arnstein.

 
  Name: Nolid Octahedron (2-part) - same form as Nordquist's Ornament (from squares) but different modular method.

Modules / Paper shape / Folding geometry: 2 modules from squares using standard folding geometry.

Designer / Date: David Mitchell, 1988.

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

 
  Name: UFO aka 4x4 Cushion

Modules / Paper shape / Folding geometry: 2 modules from squares using standard folding geometry.

Designer / Date: Paulo Mulatinho, c1998.

Diagrams: First published in Paulo Mulatinho's Origami Neue Ideen in 1998. On-line diagrams are available in the Cushions pdf on the Modular Designs page of this site.

 
  Name: Cushions are a series of 2-part designs from squares and other rectangles developed from Molly Kahn's Preliminary Ornament and the Oblong Ornament.

Modules / Paper shape / Folding geometry: 2 modules from any rectangle.

Designer / Date: In 2004, soon after seeing Paulo Mulatinho's UFO, I realised the same idea could be applied to larger grids and other rectangles. In 2005 Tung Ken Lam realised that the divisions of the grids need not be uniform.

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

 
  Name: The Tsak-man / Hosoya Cube

Modules / Paper shape / Folding geometry: 2 modules from squares using standard folding geometry.

Designer / Date: Ho Tsak-man, c1974 / Haruo Hosoya, c1987.

Diagrams: Ho Tsak-man's cube can be found in The Flapping Bird issue 20 1974. Haruo Hosoya's cube can be found in Kunihiko Kasahara and Toshie Takahama's 'Origami for The Connoisseur' - Japan publications 1987 - ISBN 0-87040-670-1.

 
  Name: The 2-part Cube.

Modules / Paper shape / Folding geometry: 2 modules from squares using standard folding geometry.

Designer / Date: David Mitchell, 2006.

Diagrams: Not yet available.

 
  Name: Simple Tetrahedra - tetrahedral versions of the Business Card Cube design.

Modules / Paper shape / Folding geometry: 2 mirror-image modules from squares (as in picture) or any other rectangles using various folding geometries.

Designer / Date: David Mitchell, 2016. Design similar to, but not consciously based on a design for a tree Ornament by Molly Kahn in The Origamian Vol 7 Issue 4 of Winter 1967.

Diagrams: Not yet available.

 
  Name: Mirror-Image Tetrahedron

Modules / Paper shape / Folding geometry: 2 mirror-image modules / Can be folded from many paper shapes. 60/30 degree folding geometry.

Designer / Date: David Mitchell, 1997.

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

 
  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: The Mirror-Image Rhombic Tetrahedron

Modules / Paper shape / Folding geometry: 2 mirror-image modules folded from silver rectangles.

Designer / Date: David Mitchell, 1996.

Diagrams: In Mathematical Origami - Tarquin Publications - ISBN 1-899618-18-X.

 
  Name: The Rhombic Tetrahedron (2-part) - three versions possible as the set of modules can be configured and assembled in three different ways.

Modules / Paper shape / Folding geometry: 2 modules folded from double silver rectangle strips. Also possible, but less successful, from truncated Nick Robinson Rhombic modules folded from silver rectangles.

Designer / Date: David Mitchell, 2017.

Diagrams: Not yet available.

 
  Name: The Lesser Rhombic Tetrahedron

Modules / Paper shape / Folding geometry: 2 modules folded from silver rectangles.

Designer / Date: David Mitchell, 2017.

Diagrams: Not yet available.

 
  Name: Truncated Tetrahedron (2-part) - a large proportion of the surface of this consists of just a single layer of paper, yet the design is stable, rigid and reasonably strong.

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

Designer / Date: David Mitchell, 2000.

Diagrams: Not yet available.

 
  Name: The (Rhombus Base) Rhombic Pyramid (2-part)

Modules / Paper shape / Folding geometry: 4 modules from silver rectangles.

Designer / Date: David Mitchell, 2000.

Diagrams: Not yet available.

 
  Name: Octahedron (2-part) - a delicate design probably best made from light card.

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

Designer / Date: David Mitchell, 1997.

Diagrams: In Mathematical Origami - Tarquin Publications - ISBN 1-899618-18-X.

 
  Name: Binary

Modules / Paper shape / Folding geometry: 2 modules from squares using various folding geometries.

Designer / Date: David Mitchell, 1988.

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

 
  Name: Binary 2

Modules / Paper shape / Folding geometry: 2 modules from stars of David using 60/30 degree folding geometry.

Designer / Date: David Mitchell, 2008.

Diagrams: Not yet available.

 
  Name: Thingamy

Modules / Paper shape / Folding geometry: 2 modules from silver rectangles.

Designer / Date: David Mitchell, 1990.

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

 
  Name: Pinwheel Cubes - series of winged cubes conceived of as a modular assembly challenge.

Modules / Paper shape / Folding geometry: 2 modules from squares using standard folding geometry.

Designer / Date: David Mitchell, 1999.

Diagrams: Not yet available.

 
  Name: Enigma Cube (2-part)

Modules / Paper shape / Folding geometry: 2 modules from squares using standard folding geometry.

Designer / Date: David Mitchell, 1988.

Diagrams: In Paper Crystals (2nd Edition) - Water Trade - ISBN 978-0-9534774-9-4.

 
  Name: The Modular Flip Flop is my reconstruction of a design by the Danish paperfolder Thoki Yenn which has become lost (probably because Thoki abandoned it in favour of his one piece version of the same design). The design is a version of a well known mathematical toy with the strange property that it will squash flat in two different directions.

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

Designer / Date: David Mitchell, 1989.

Diagrams: Not yet available.

 
  Name: (Modular) 2-Way Tube - a modular version of Robert Neale's 2-Way Tube (which can be made (in several ways) from a single sheet of paper or light card).

Modules / Paper shape / Folding geometry: 2 modules from any rectangle using standard folding geometry.

Designer / Date: David Mitchell, 1997.

Diagrams: On-line diagrams are available on the Devious Devices page of this site.