Origami Heaven A paperfolding
paradise
The website of
writer and paperfolding designer David Mitchell


2part
Modular Designs 

Flat
Designs 



Name: A Marriage of
Opposites Modules / Paper shape / Folding
geometry: 2 mirrorimage Maverick modules from
squares using standard folding geometry.
Designer /
Date: Tomoko Fuse, 1980s. David Mitchell, 1990.
Different folding method, same result.
Diagrams:
Online 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:
Online 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 windtop 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 0760733317.





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:
Online 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 2part
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: 2part 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 TwoPiece
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 3D Geometric Origami, Gurkewitz and
Arnstein, Dover, 1995 where the design is called
the TwoPiece Octahedron Skeleton and attributed
to Bennett Arnstein.





Name: Nolid Octahedron
(2part)  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:
Online 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. Online diagrams are available in
the Cushions pdf on the Modular Designs page of this site.





Name: Cushions are
a series of 2part 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:
Online diagrams are available on the Modular Designs page of this site.





Name: The Tsakman / Hosoya
Cube Modules / Paper shape / Folding
geometry: 2 modules from squares using standard
folding geometry.
Designer /
Date: Ho Tsakman, c1974 / Haruo Hosoya, c1987.
Diagrams:
Ho Tsakman'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 0870406701.





Name: The 2part 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 mirrorimage 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: MirrorImage
Tetrahedron Modules / Paper
shape / Folding geometry: 2 mirrorimage modules
/ Can be folded from many paper shapes. 60/30
degree folding geometry.
Designer /
Date: David Mitchell, 1997.
Diagrams:
From doublebronze rectangles in Mathematical
Origami  Tarquin Publications  ISBN
189961818X.





Name: Striped MirrorImage
Tetrahedron Modules / Paper
shape / Folding geometry: 2 mirrorimage 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 MirrorImage
Rhombic Tetrahedron Modules / Paper
shape / Folding geometry: 2 mirrorimage modules
folded from silver rectangles.
Designer /
Date: David Mitchell, 1996.
Diagrams:
In Mathematical Origami  Tarquin Publications 
ISBN 189961818X.





Name: The Rhombic
Tetrahedron (2part)  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
(2part)  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 (2part) Modules / Paper
shape / Folding geometry: 4 modules from silver
rectangles.
Designer /
Date: David Mitchell, 2000.
Diagrams:
Not yet available.





Name: Octahedron (2part)
 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 189961818X.





Name: Binary Modules / Paper
shape / Folding geometry: 2 modules from squares
using various folding geometries.
Designer /
Date: David Mitchell, 1988.
Diagrams:
Online 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:
Online 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 (2part) 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 9780953477494.





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) 2Way Tube
 a modular version of Robert Neale's 2Way 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:
Online diagrams are available on the Devious Devices page of this site.



