| Origami Heaven A paperfolding
paradise
The website of
writer and paperfolding designer David Mitchell
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| Unmathematical Forms |
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Unmathematical
forms is the name I give to a group of modular and
macro-modular designs which are not mathematically
accurate but are sufficiently good approximations of
mathematical forms to work as origami designs.
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Name: The Ring
of Cubes can either be made by glueing
five Columbus Cubes together or by linking
together five Ring of Cubes macromodules, which
are provided with the necessary tabs and pockets
to make this possible without needing to use
glue. The unmathematical geometry of the design
was analysed in passing by Jeannine Mosely in an
article in Origami3 - A K Peters Ltd - ISBN
1568811810 entitled 'The Validity of the Orb, An
Origami Model'. Modules / Paper shape / Folding
geometry: 30 modules from squares using standard
folding geometry.
Designer /
Date: David Mitchell, 1990 (both versions).
Diagrams
for the pure origami version can be found in
Building with Butterflies - David Mitchell -
Water Trade - ISBN 978-0-9534774-7-0.
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Name: The Ring of
Cubes design can be extended, using either
method, to create a Ball of Cubes.
Further macromodules can be added to produce more
complex forms. Modules / Paper shape / Folding
geometry: 120 modules from squares using standard
folding geometry.
Designer /
Date: David Mitchell, 1990 (both versions).
Diagrams
for the pure origami version can be found in
Building with Butterflies - David Mitchell -
Water Trade - ISBN 978-0-9534774-7-0.
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Name: Ring
of Elites - 5 Elites linked by joining
pieces. A ball of 20 Elites is also possible. Modules / Paper
shape / Folding geometry: All modules from silver
rectangles.
Designer /
Date: David Mitchell, 1993.
Diagrams:
Not yet available.
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Name: Ring
of Elite 2s - 5 Elite 2s linked by
joining pieces. A ball of 20 Elite 2s is also
possible. Modules / Paper shape / Folding
geometry: All modules from silver rectangles.
Designer /
Date: David Mitchell, 1993.
Diagrams:
Not yet available.
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Name: 12
Interpetrating Pentagonal Rings Modules / Paper
shape / Folding geometry: Developed from the
60-part Corner-pocket Sonobe Spiky Star by the
addition of 30 extra modules to link the vertexes
together into rings. All modules from squares
using standard folding geometry.
Designer /
Date: David Mitchell, 1995.
Diagrams:
Not yet available.
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Name: Odyssey Modules / Paper
shape / Folding geometry: Made by adding 30
strengtheners to a 30 module Cube-Corner
Dodecahedron. Strengtheners from silver
rectangles, other modules from squares using
standard folding geometry.
Designer /
Date: David Mitchell, 2015.
Diagrams:
In Paper Crystals (2nd Edition) -
Water Trade - ISBN 978-0-9534774-9-4.
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