Rona Gurkewitz' Modular Origami Polyhedra Systems Page

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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


Contents

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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.

References

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Books

Email me for help or with questions. [email protected]
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Gallery of Selected Models(more photos to come)


Sonobe System model
Stellated icosahedron, 30 basic Sonobe modules


Sonobe System models
Stellated icosahedron, 30 modules
Cube, 6 modules
Hexahedron, 3 modules
Stellated octahedron, 12 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"


Sunkated' square gyroscope
module
by Rona Gurkewitz
Rhombicosidodecahedron, 60 modules
Icosidodecahedron, 30 modules
Octahedron, 6 modules




Super Spike Ball
Based on rhombicuboctahedron from
24 spike ball modules
Gurkewitz


Equilateral stellation of icosahedron
30 chain of 4 equilateral triangle modules
Simon, Arnstein


Stellation of the icosahedron
with 30, 36 degree isosceles triangle modules, view 1
Arnstein


Stellation of the icosahedron
with 30, 36 degree isosceles triangle modules, view 2
Arnstein


Stellation of the icosahedron
with 30, 45 degree isosceles triangle modules, view 1
Gurkewitz"


Stellation of the icosahedron
with 30, 45 degree isosceles triangle modules, view 2
Gurkewitz"




Slinky by Gay Merrill Gross
Adapted to dollar bills by
Rona Gurkewitz"




Modular Origami Polyhedra Cover 3D Geometric Origami:Modular Polyhedra Cover
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This page transfered to http://www.make-origami.com/RonaGurkewitz/home.php in May, 2017 with permission from Rona Gurkewitz.
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