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


12part
Modular Designs 

Cubes 



Name: The 1Fold
Cube  a design that can be loosely
constructed on a flat surface but is not
sufficiently stable to be picked up. It is
therefore more of a multiplepiece than a modular
design, but I include it here for the sake of
completeness. Modules / Paper shape / Folding
geometry: 12 minimalist modules from squares
using standard folding geometry.
Designer /
Date: Kenneth Kawamura, 1977.
Diagrams:
Diagrams were published in Kenneth Kawamura's
booklet 'Meditations on a Waterbomb' in 1977.





Name: The 12part
Cornerpocket Sonobe Cube Modules / Paper
shape / Folding geometry: 12 modules from squares
using standard folding geometry.
Designer /
Date: Not known.
Diagrams:
Online diagrams are available on the Modular Designs page of this site.





Name: The Mondrian
Cube Modules / Paper shape / Folding
geometry: 12 assymetric cornerpocket Sonobe
modules from squares using standard folding
geometry.
Designer /
Date: David Mitchell, 1995.
Diagrams:
Online diagrams are available on the Modular Designs page of this site.





Name: The Cockeyed
Cube Modules / Paper shape / Folding
geometry: 8 Mondrian modules (assymetric
cornerpocket Sonobe modules) in two sets of four
of different proportions combined with four
standard Cornerpocket Sonobe modules. All from
squares using standard folding geometry.
Designer /
Date: David Mitchell, 2017.
Diagrams:
Online diagrams are available on the Modular Designs page of this site.





Name: The Diagonally
Banded Cube Modules / Paper
shape / Folding geometry: 12 modules from
symmetric, asymmetric or doubly assymetric banded
modules folded from various paper shapes.
Designer /
Date: David Mitchell, 2001.
Diagrams:
Online diagrams are available on the Modular Designs page of this site.





Name: The Broken
Star Cube Modules / Paper shape / Folding
geometry: 12 Decorative Skew Sonobe modules from
squares using sqrt5 folding geometry.
Designer /
Date: David Mitchell, 1990.
Diagrams:
Online diagrams are available on the Modular Designs page of this site.





Name: The Letterbox
Tiled Diablo Cube Modules / Paper
shape / Folding geometry: 12 Double Rotor
Letterbox modules from squares using standard
folding geometry.
Designer /
Date: David Mitchell, 2001.
Diagrams:
Online diagrams are available on the Modular Designs page of this site.





Name: The Whirlpool
Cube Modules / Paper shape / Folding
geometry: 12 modules from squares using standard
folding geometry.
Designer /
Date: David Mitchell, 2001.
Diagrams:
Online diagrams are available on the Modular Designs page of this site.



8point
Stubby Stars 



Name: The Sonobe Alpha
12part 8point Stubby Star  many
decorative variants are possible. Modules / Paper
shape / Folding geometry: 12 modules from squares
using standard folding geometry.
Designer /
Date: Mitsonobu Sonobe, mid to late 1960s.
Diagrams:
Online diagrams are available on the Modular Designs page of this site.





Name: The Sonobe Beta
12part 8point Stubby Star  many
decorative variants are possible. Modules / Paper
shape / Folding geometry: 12 modules from squares
using standard folding geometry.
Designer /
Date: David Mitchell, 2012.
Diagrams:
Online diagrams are available on the Modular Designs page of this site.





Name: The Sonobe
Cornerpocket module 12part 8point Stubby Star
/ Convertible Cube Modules / Paper
shape / Folding geometry: 12 modules from squares
using standard folding geometry.
Designer /
Date: .
Diagrams:
Online diagrams are available on the Modular Designs page of this site.





Name: The Letterbox Alpha
8point Stubby Star  many decorative
variants are possible. Modules / Paper
shape / Folding geometry: 12 modules from squares
using standard folding geometry.
Designer /
Date: David Mitchell, 1987
Diagrams:
Online diagrams are available on the Modular Designs page of this site.





Name: The Letterbox Alpha
8point Stubby Star  many decorative
variants are possible. Modules / Paper
shape / Folding geometry: 12 modules from squares
using standard folding geometry.
Designer /
Date: David Mitchell, 1987
Diagrams:
Online diagrams are available on the Modular Designs page of this site.





Name: The Banded
8point Star Modules / Paper
shape / Folding geometry: 12 modules from
symmetric, asymmetric or doubly assymetric banded
modules folded from various paper shapes.
Designer /
Date: David Mitchell, 2001.
Diagrams:
Online diagrams are available on the Modular Designs page of this site.



Other
designs 



Name: Gyroscope
 a skeletal octahedron with a small hole in the
centre. As the name implies, the Gyroscope can be
used as an action toy. Modules / Paper
shape / Folding geometry: 12 modules in two sets
of six from squares using standard folding
geometry.
Designer /
Date: Lewis Simon, c1970s
Diagrams:
Not yet available.





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: Dodecahedron Modules / Paper
shape / Folding geometry: 12 modules from silver
rectangles.
Designer /
Date: David Brill, 1980s.
Diagrams:
In Brilliant Origami  David Brill  Japan
Publications 1996  ISBN 0870408968.





Name: Dodecahedron
 not particularly robust. Modules / Paper
shape / Folding geometry: 12 modules in sets of
male/female pairs from squares using mock
platinum folding geometry.
Designer /
Date: David Mitchell, 1996.
Diagrams:
In Mathematical Origami  Tarquin Publications 
ISBN 189961818X.





Name: Great
Dodecahedron Modules / Paper
shape / Folding geometry: 12 modules in sets of
male/female pairs from pentagons, each of which
contributes a single vertex to the form.
Designer /
Date: David Mitchell, 1990.
Diagrams:
Not yet available.





Name: Equilateral
Pattern Tetrahedron Modules / Paper
shape / Folding geometry: 12 modules from silver
rectangles using both standard and 60/30 degree
folding geometry (though other rectangles of
similar proportions could be used since the
natural geometry of the silver rectangle is not
utilised).
Designer /
Date: David Mitchell, 1992.
Diagrams:
British Origami Society Convention Pack Spring
1992.





Name: Reptile
Kitepattern Tetrahedron Modules / Paper
shape / Folding geometry: 12 Reptile modules from
squares using 60/30 degree folding geometry.
Designer /
Date: David Mitchell, 1997.
Diagrams:
Online diagrams are available on the Modular Designs page of this site.





Name: Rhombic
Dodecahedron Modules / Paper
shape / Folding geometry: 12 parallelogram
modules from silver rectangles .
Designer /
Date: Nick Robinson, 1986.
Diagrams:
In Mathematical Origami  David Mitchell 
Tarquin 1997  ISBN 189961818X.





Name: Rhombic
Dodecahedron Modules / Paper
shape / Folding geometry: 12 triangle modules
from silver rectangles .
Designer /
Date: David Mitchell, 2004.
Diagrams:
Not yet available.





Name: Skeletal
Cube or Nolid Cube Modules / Paper
shape / Folding geometry: 12 modules from silver
rectangles .
Designer /
Date: David Brill, 1980s.
Diagrams:
In Mathematical Origami  David Mitchell 
Tarquin 1997  ISBN 189961818X





Name: XYZ
(12part)  a twelve module
version of Ed Sullivan's classic 6part XYZ
design. Modules / Paper shape / Folding
geometry: 12 modules using standard folding
geometry.
Designer /
Date: Independently discovered by at least Robert
Neale, Michael Naughton and David Mitchell in the
late 1980s. I do not know who has creative
priority.
Diagrams:
Diagrams can be found in Paper Crystals (2nd Edition) 
Water Trade  ISBN 9780953477494.





Name: Omega
Star (12part)  developed from the
12part XYZ in exactly the same way as the
original 6part Omega Star was developed from the
original 6part XYZ. Modules / Paper
shape / Folding geometry: 12 modules using
standard folding geometry.
Designer /
Date: Independently discovered by at least Robert
Neale, Michael Naughton and David Mitchell in the
late 1980s. I do not know who has creative
priority.
Diagrams:
In Paper Crystals (2nd Edition) 
Water Trade  ISBN 9780953477494.





Name: Enigma Cube (12part ) Modules / Paper
shape / Folding geometry: 12 modules from squares
using standard folding geometry.
Designer /
Date: David Brill, 1988.
Diagrams:
In Paper Crystals  David Mitchell  Water Trade
 ISBN 9780953477494.





Name: ZYX
(because of the similarity of the form to Ed
Sullivan's XYZ) Modules / Paper shape / Folding
geometry: 12 modules from silver rectangles or
similar using standrad folding geometry.
Designer /
Date: David Mitchell, 1993.
Diagrams:
Not yet available.





Name: Alternative
Artifact Modules / Paper shape / Folding
geometry: 12 in two sets of 6 modules, one set
from squares using standard folding geometry and
the other set from silver rectangles.
Designer /
Date: David Mitchell, 1995.
Diagrams:
Not yet available.





Name: ThreeWay
Brick  can be linked into other similar
bricks in all three directions. A rhombic
dodecahedron from which twelve small rhombic
pyramids have been removed. Modules / Paper
shape / Folding geometry: 12 modules in two sets
of six from silver rectangles.
Designer /
Date: David Mitchell, 1996.
Diagrams:
Not yet available.





Name: Proteus12 Modules / Paper
shape / Folding geometry: 12 modules from squares
using 60/30 degree folding geometry.
Designer /
Date: David Mitchell, 1992
Diagrams:
In Paper Crystals (2nd Edition) 
Water Trade  ISBN 9780953477494.





Name: Jitterbug
 a modular origami version of the well known
flexible toy of the same name (made from metal
rods and rubber joints) which was designed by
Buckminster Fuller. By twisting the pierced
square faces of the form it is possible to
collapse the cuboctahedron into an octahedron. Modules / Paper
shape / Folding geometry: 12 modules from squares
using 60/30 degree folding geometry.
Designer /
Date: Tung Ken Lam, 1990s.
Diagrams:





Name: Skeletal
Cuboctahedron (12part) or Nolid
Cuboctahedron (12part) Modules / Paper
shape / Folding geometry: 12 modules from squares
using 60/30 degree geometry.
Designer /
Date: Tung Ken Lam
Diagrams:





Name: Borromean
Links Modules / Paper shape / Folding
geometry: 12 modules in 2 sets of 6 using
standard folding geometry, based on division into
fifths.
Designer /
Date: David Mitchell, 1999. A version of Thoki
Yenn's Umulius Rectangulum.
Diagrams:
Not yet available.





Name: Rhombicuboctahedron
(12part)  requires stiff paper. Modules / Paper
shape / Folding geometry: 12 modules from squares
using standard folding geometry.
Designer /
Date: David Mitchell, 1989.
Diagrams:
Not yet available.





Name: Pierced
Snub Cube Modules / Paper shape / Folding
geometry: 12 modules folded from bronze
rectangles using 60/30 degree folding geometry
Designer /
Date: Tung Ken Lam
Diagrams:
Not yet available.





Name: Duality Modules / Paper
shape / Folding geometry: 12 modules in 2 sets of
6 from squares using standard folding geometry.
Designer /
Date: David Mitchell, 2016.
Diagrams:
Not yet available.





Name: Compound
of Cube and Octahedron  made by adding
hats to the Photoframe Cube. Modules / Paper
shape / Folding geometry: 12 modules in 2 sets of
6 from squares using standard folding geometry.
Designer /
Date: David Mitchell, 2016.
Diagrams:
Not yet available.





Name: Andromeda
is a skeletal octahedron whose edges
have been developed into a twelve point star. Modules / Paper
shape / Folding geometry: 12 modules folded from
squares using mock platinum folding geometry. 6
extra 'end cap' modules folded from squares using
standrad folding geometry can be added to clad
the central skeletal octahedron and produce the
result shown in the photo.
Designer /
Date: David Mitchell, 2012.
Diagrams:
In Paper Crystals (2nd Edition) 
Water Trade  ISBN 9780953477494.



