Origami and Math: Simple to Complex book cover

Origami and Math: Simple to Complex

by John Montroll

Published:
2012 by Dover Publications
Pages:
120
Binding:
Paperback
Language:
English
ISBN-13:
9780486488868
ISBN-10:
0486488861

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Skill Level Simple to complex
Clear diagrams? Yes
Tinted diagrams (to show 2 sides of paper)? Yes
Photos of completed models? No
Is there indication to the model size resulting from size of starting paper? No
Are the models "Pure" origami (From a single square - no cuts)? Yes

There are 39 Origami Designs in Origami and Math: Simple to Complex:

Design Designer Page Details Photo

Equilateral triangle

Geometric and other shapes

John Montroll11Square

Also in Origami Polyhedra Design by John Montroll

2 methods
Origami Equilateral triangle by John Montroll on giladorigami.com
Folded by Marco Abate
Pentagon

Geometric and other shapes

John Montroll12Square

Also in Origami Polyhedra Design by John Montroll
Origami Pentagon by John Montroll on giladorigami.com
Folded by Marco Abate
Hexagon

Geometric and other shapes

John Montroll13Square

Also in Origami Polyhedra Design by John Montroll

2 methods
Origami Hexagon by John Montroll on giladorigami.com
Folded by Marco Abate
Heptagon

Geometric and other shapes

John Montroll14Square

Also in Origami Polyhedra Design by John Montroll
Origami Heptagon by John Montroll on giladorigami.com
Folded by Marco Abate
Octagon

Geometric and other shapes

John Montroll15Square

Also in Origami Polyhedra Design by John Montroll
Origami Octagon by John Montroll on giladorigami.com
Folded by Marco Abate
Decagon

Geometric and other shapes

John Montroll16SquareOrigami Decagon by John Montroll on giladorigami.com
Folded by Marco Abate
Dodecagon

Geometric and other shapes

John Montroll17SquareOrigami Dodecagon by John Montroll on giladorigami.com
Folded by Marco Abate
Silver rectangle

Geometric and other shapes

John Montroll18Square

Also in Origami Polyhedra Design by John Montroll
Origami Silver rectangle by John Montroll on giladorigami.com
Folded by Marco Abate
Silver rhombus

Geometric and other shapes

John Montroll18SquareOrigami Silver rhombus by John Montroll on giladorigami.com
Folded by Marco Abate
Bronze rectangle

Geometric and other shapes

John Montroll19Square

Also in Origami Polyhedra Design by John Montroll
Origami Bronze rectangle by John Montroll on giladorigami.com
Folded by Marco Abate
Golden rectangle

Geometric and other shapes

John Montroll19Square

Also in Origami Polyhedra Design by John Montroll
Origami Golden rectangle by John Montroll on giladorigami.com
Folded by Marco Abate
Shuriken

Objects - Weapons

John Montroll23SquareOrigami Shuriken by John Montroll on giladorigami.com
Folded by Rebecca
Cubehemioctahedron

Geometric and other shapes

John Montroll25SquareOrigami Cubehemioctahedron by John Montroll on giladorigami.com
Folded by Marco Abate
Cubicles

Geometric and other shapes

John Montroll27SquareOrigami Cubicles by John Montroll on giladorigami.com
Folded by Marco Abate
Triangular troublewit

Geometric and other shapes

John Montroll31SquareOrigami Triangular troublewit by John Montroll on giladorigami.com
Folded by Marco Abate
Square troublewit

Geometric and other shapes

John Montroll34SquareOrigami Square troublewit by John Montroll on giladorigami.com
Folded by Rebecca
Pentagonal troublewit

Geometric and other shapes

John Montroll37SquareOrigami Pentagonal troublewit by John Montroll on giladorigami.com
Folded by Marco Abate
Chessboard - 1x1

Toys - Games

John Montroll41SquareOrigami Chessboard - 1x1 by John Montroll on giladorigami.com
Folded by Marco Abate
Chessboard - 2x2

Toys - Games

John Montroll41SquareOrigami Chessboard - 2x2 by John Montroll on giladorigami.com
Folded by Rebecca
Chessboard - 3x3

Toys - Games

John Montroll43SquareOrigami Chessboard - 3x3 by John Montroll on giladorigami.com
Folded by Rebecca
Chessboard - 4x4

Toys - Games

John Montroll46SquareOrigami Chessboard - 4x4 by John Montroll on giladorigami.com
Folded by Rebecca
Chessboard - 5x5 - fuzzy

Toys - Games

John Montroll50Square

Also in Tanteidan 16th convention
Also in AEP convention 2011
Origami Chessboard - 5x5 - fuzzy by John Montroll on giladorigami.com
Folded by Marco Abate
Chessboard - 6x6 and table

Toys - Games

John Montroll53SquareOrigami Chessboard - 6x6 and table by John Montroll on giladorigami.com
Folded by Marco Abate
Chessboard - 7x7 and table

Toys - Games

John Montroll57SquareOrigami Chessboard - 7x7 and table by John Montroll on giladorigami.com
Folded by Marco Abate
Chessboard and table

Toys - Games

John Montroll64Square

Also in Origami USA Convention 1991
Also in BOS Convention 1991 Autumn
Also in Origami Inside-Out by John Montroll

Reworked diagrams
Origami Chessboard and table by John Montroll on giladorigami.com
Folded by Gabriel Vong
Five-pointed star

Geometric and other shapes

John Montroll71SquareOrigami Five-pointed star by John Montroll on giladorigami.com
Folded by Marco Abate
Puffy five-pointed star

Geometric and other shapes

John Montroll74SquareOrigami Puffy five-pointed star by John Montroll on giladorigami.com
Folded by Marco Abate
Puffy diamond star

Geometric and other shapes

John Montroll78SquareOrigami Puffy diamond star by John Montroll on giladorigami.com
Folded by Marco Abate
Five-sided square

Origami bases and methods

John Montroll79SquareOrigami Five-sided square by John Montroll on giladorigami.com
Folded by Marco Abate
Five-pointed flower

Flora - Flowers

John Montroll81SquareOrigami Five-pointed flower by John Montroll on giladorigami.com
Folded by Marco Abate
Lily

Flora - Flowers

John Montroll82Square

Also in Teach Yourself Origami by John Montroll
Origami Lily by John Montroll on giladorigami.com
Folded by Marco Abate
Dromedary

Mammals - Camelidae - Camels

John Montroll87SquareOrigami Dromedary by John Montroll on giladorigami.com
Folded by Marco Abate
Camel

Mammals - Camelidae - Camels

John Montroll90SquareOrigami Camel by John Montroll on giladorigami.com
Folded by Marco Abate
Llama

Mammals - Camelidae - Llamas

John Montroll93Square
Rhinoceros

Mammals - Rhinocerotidae - Rhinoceros

John Montroll97Square
Horse

Mammals - Equidae - Horses and Donkeys

John Montroll101Square

Also in Horses in Origami by John Montroll
Also in NOA Magazine 211
Also in Origami La Era Nueva by Kunihiko Kasahara
Also in Origami Sculptures by John Montroll
Also in Origami USA Convention 1985
Also in Quarterly ORU Folding Diagrams - Vol. 1
and in other sources...
Origami Horse by John Montroll. Folded by Gilad Aharoni on giladorigami.com
Folded by Gilad Aharoni
Elephant

Mammals - Elephantidae - Elephants

John Montroll105Square

Simple
Elephant

Mammals - Elephantidae - Elephants

John Montroll107Square

Intermediate
Elephant

Mammals - Elephantidae - Elephants

John Montroll111Square

Complex