Rona Gurkewitz
Associate Professor of Math and Computer Science
Math and Computer Science Department
Western Connecticut State University
Danbury, Ct 06810
Phone: (203) 837-9354 [email protected]

At right: "Christmas Wreath" by Bennett Arnstein made from 10 interlocking
truncated octahedra, each made from 24 "one piece triangle modules" from
our book "3D Geometric Origami: Modular Polyhedra", Gurkewitz and
Arnstein Dover 96
This site is about modular origami polyhedra, especially what we define as
Modular Origami Polyhedra Systems, and photos of models from my books
"3D Geometric Origami:Modular Polyhedra",Gurkewitz and Arnstein, Dover 96
and "Modular Origami Polyhedra"Simon,Arnstein and Gurkewitz, Dover 99
which emphasize these systems.
Origami models were folded by Bennett Arnstein and Rona Gurkewitz.
last modified 10-9-00

Rona Gurkewitz' Definition of Modular Origami Polyhedra Systems

Definition

In the book "3-D Geometric Origami: Modular Polyhedra", Gurkewitz and Arnstein 96, a "system" of origami polyhedra models is defined as a collection of models that can be folded from different numbers of a given module or from modules that have related folding sequences. Another possibility is to vary the starting polygonal shape of the paper used for a module. A third possibility is to systematically vary an angle or angles on a modules to produce a new module that makes a different polyhedron. In the Gallery see if you can visually tell which models belong to the same system. You can check by reading the descriptions.Email me for help or with questions.

Some models from 'Modular Origami Polyhedra', Simon, Arnstein, Gurkewitz 99

photographs by Bill Quinnell
Mouseover a photo to see a larger image, a caption and credits

Decoration Box by Lewis Simon with adaptations
by Arnstein and Gurkewitz
12 modules from U.S. dollar bills

Cubes from Variations of Decoration Box
by Lewis Simon and Bennett Arnstein
12 modules per cube

Decoration Box Variations, 12 modules
Sonobe Variation Cubes, 12 and 24 modules
each module is two pieces of paper back to back

Decoration Box System Dodecahedron,
Lewis Simon (and independently Bob Neale)
30 modules(edge modules)
Triangular Gyroscope System Dodecahedron
Lewis Simon, Bennett Arnstein
20 modules(vertex modules)

Decoration Box System, variations in number
of modules and angles on modules
original module by Lewis Simon
60 degree angle module is by Jim Plank
45 degree angle is by Bennett Arnstein
90 degree angle is by Lewis Simon
Octahedron,12 modules
Cuboctahedron,24 modules
Cube, 12 modules

Decoration Box System
by Lewis Simon
Stellated Icosahedron, 60 modules, each module has
90 angle on one end and 45 degree angle on the other end
Tetrahedron,6 modules, each module has 60 angle on both ends
Icosahedron,30 modules, each module has 60 angle on both ends

Sonobe System model
Stellated icosahedron, 30 basic Sonobe modules

Decoration Box Module made into a Sonobe Shape Stellated Icosahedron
by Bennett Arnstein,60 modules, each module has 45 angle at one end and
90 angle at the other

Ninja Star variation of Decoration Box Module made into Sonobe shapes
by Lewis Simon
Stellated Icosahedron, 60 modules with 90 angle at one end, 45 angle at other
Cube, 12 modules with 90 angle at each end

Square Gyroscope, Lewis Simon, 6 modules from squares"