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The
Sonobe Cube was discovered in about 1965 by the
Japanese paperfolder Mitsonobu Sonobe and is one
of the two pillars on which the development of
modular origami rests (the other being Robert
Neale's Octahedron). The Sonobe Cube is the base
form of the Sonobe module sub-set of the
centre-pocket modular family. In its
construction, it is very similar to the Mystery
Box On-line
diagrams
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The
PJ Tetracube is developed by inverting four
corners of Paul Jackson's Cube (which must be
chosen to correspond to the vertices of a
tetrahedron inscribed within the cube) to the
mid-point of the adjacent edges. The PJ Tetracube
will function as a macro-module in a similar way
to the Columbus Cube. The Tetracube form was
independently originated by several paperfolders.
It is not known who got there first. Ref: M1048 / Diagrams can
be found in Building with Butterflies - David
Mitchell - Water Trade 1999- ISBN 095347741X
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Robert
Neale's Octahedron is one of the twin pillars of
modular origami in the modern era (the, of
course, other being the Sonobe module and cube).
The design has also yielded an impressive array
of variations and developments. Ref: XM1041 / Diagrams can
be found in Mathematical Origami - David Mitchell
- Tarquin 1997 - ISBN 189961818X
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The
Harlequin Star is made from six modules in the
form of slightly flattened preliminary folds. It
is a very delicate construction and takes care
and patience to assemble. Once assembled however
it is sufficiently stable to stand up to careful
handling. Both Robert Neale and Kenneth Kawamura
independently discovered this design at an early
date. It is not known who got there first.
Ref: XM1040
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Robert Neale's Cube
Analogue Rhombicuboctahedron is a classic of simple
modular origami design. There are two versions of
the module, based on the 3x3 and 4x4 grids
respectively. Michael Naughton (who calls the
design the Multi-Ball) has pointed out that there
are an infinity of related cube analogues eight
of whose rectangular faces are oblong rather than
square. Ref:
XM1050 / Diagrams not yet available.
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4-Cubes is an
elegant hexoid that can be viewed either as four
cubes joined edge to edge or as a single large
cube from which four smaller cube-shaped sections
have been removed. The design is not only
aesthetically pleasing but also particularly
satisfying to fold and assemble. Ref: M1030 / Diagrams not yet
available.
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David Mitchell's Enigma
Cube
is a curious but attractive sculpture in the form
of a cube surrounded by curved collars. Several
modular methods are known but the 6-part version
shown here, developed from Ed Sullivan's XYZ, is
in many ways the most interesting, particularly
in the way that the form continues to develop
after the modules have been assembled. Ref: M1005 / Diagrams can
be found in Paper Crystals - David Mitchell -
Water Trade 2000 - ISBN 0-9534774-2-8
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David Mitchell's 6-part
Truncated Tetrahedron is made by weaving
together six extremely simple modules folded from
a bronze rectangles, although the necessary
geometry can, of course, be embedded into any
other shape of paper. Tomoko Fuse has
independently produced a similar design using
modules folded from a square. Ref: M1071 / Diagrams not
yet available.
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The Double
Kite Pattern Tetrahedron is made using six modules
each of which contributes two of the kite-shaped
regions of colour. The design can be made from
Davis Mitchell's Simplified Terada Edge modules
or by using Terada Edge modules in their original
form. Ref:
M1139 / Diagrams for ST module designs not yet
available.
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Six of the faces
of Tung Ken Lam's remarkable Pierced
Icosahedron are missing, a property which
allows the construction of the form using just
six modules. The design can function as a
mathematical model demonstrating that the
icosahedron can be seen as a snub tetrahedron,
the missing faces being those of the tetrahedron
in question. Ref: XM1145 / Diagrams not yet
available.
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David Mitchell's Icarus
Cube
is a decorative variation of Paul Jackson's Cube
in which the centre of the square is brought out
to form a transverse wing across the centre of
the face.
M1099
/ Diagrams can be found in Building with
Butterflies - David Mitchell - Water Trade 1999-
ISBN 095347741X
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Natale Fietta's 3-Way
Joint
is an unusual hexoid worthy of a better name. The
proportions of the design can easily be varied by
folding the modules from 6x4 or 7x5 etc
rectangles, or from a square divided into a 5x5,
6x6 or 7x7 etc grid and beginning by folding two
opposite edges inwards to achieve the rectangle
required. Diagrams
can be found in the British Origami Society
convention pack for Spring 1989.
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David
Mitchell's Omicron is a
simple but attractive hexoid in the form of a
large cube with one eighth size cubes removed
from each corner. It can also be seen as composed
of six 4x2x1 cuboids. Versions with other proportions are
possible. M1098 / Diagrams not yet available.
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David
Mitchell's Upsilon is a
simple but attractive hexoid in the form of a
cube each of whose sides has been extended to a
point in two opposite directions. M1120 /
Diagrams not yet available.
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David Mitchell's Semi-Star is a strange twelve
pointed star developed from Robert Neale's
Octahedron by folding the outer layers of the
form outwards to create the points. The name
arises from the fact that only half of each point
is present in the design. This form was
subsequently developed into Andromeda, in which
the points are complete. M1121 / Diagrams not yet available.
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David Mitchell's Combination
Silverhedron 2 is an unusual hexoid made by
combining six modules developed from the
traditional fold known as the Pinwheel. The
square and silver triangle faces are flat while
the equilateral faces are dimpled. In this form
the edges of the square faces are shorter than
the edges of the equilateral faces. Left and
right-handed versions are possible. Ref: M1128 / Diagrams not
yet available.
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The form of David
Mitchell's Waterbomb Star is achieved by adding a
waterbomb base to each face of a cube (in such a
way that the tips of the arms of the waterbomb
base meet each other at the corners of the
underlying cube). The module is particularly
elegant and pleasing to fold. M1027 / Diagrams not yet
available.
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David Mitchell's Ethereal is a hanging sculpture
that will delight modular aficionados with the
delicate elegance of its design. The overall form
is that of an octahedron (each of whose faces has
been divided into four equal regions, then
dimpled). The original form of the module was
provided with tabs and pockets, but in this form
it proved impossible to assemble the design.
Ref: M1028 /
Diagrams not yet available.
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David Mitchell's Gaia is a decorative pierced
rhombicuboctahedron assembled from six modules
derived from the Enigma Fold. The complex final
form is largely developed after the modules have
been assembled. Ref: M1006 / Diagrams can be found
in British Origami Society Convention Pack Spring
1996 (module only) and Origami Munchen Convention
Pack July 1995
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The angles
required to model David Mitchell's Rotating
Ring of Six Tetrahedra are not those normally
required for modular origami designs. It is
therefore somewhat surprising that they come so
easily from the natural folding geometry of the
square. Ref:
M1111 / Diagrams not yet available.
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Jun
Maekawa's Dodecahedron is a wonderful example of
a hexoid. Each of the six modules contributes two
complete linked pentagonal faces to the design,
which are are then assembled using a clever flap
and pocket system. Ref: M1097 / Diagrams can be found
in Origami for the Connoisseur - Kunihiko
Kasahara and Toshie Takahama - Japan Publications
1987 - ISBN 087040670.
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Although
discovered entirely independently, David
Mitchell's Artifact is closely related to
David Brill's Waterbombic Dodecahedron. The form
is identical and the modules are essentially
similar, except that in Artifact six,rather than
just three, modules are required. Artifact is
used as a macro-module in David Mitchell's
Stargate and Nexus designs. Ref: M1061 / Diagrams not
yet available.
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Thought by many
to be David Mitchell's greatest modular design,
the 6-part Stellated Rhombic
Dodecahedron is remarkable for the way in which
every detail of the module comes so naturally
from the folding geometry of the silver
rectangle. Ref:
M1010 / Diagrams can be found in Wonderful
World of Modulars - Tomoko Fuse - ISBN 4-405-07553-0
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This complex
seeming sculpture, known as Darkstar, is in fact a simple
hexoid. The
modules are folded from silver rectangles using
the natural folding geometry of the shape.The
sculpture has narrow slits in the sides of the
points where two raw edges of the paper meet and
therefore works much better in black than in any
other colour. Ref: M1033 / Diagrams not yet
available.
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