Project Origami: Activities for Exploring Mathematics, Second Edition

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CRC Press, 21 déc. 2012 - 364 pages
Project Origami: Activities for Exploring Mathematics, Second Edition presents a flexible, discovery-based approach to learning origami-math topics. It helps readers see how origami intersects a variety of mathematical topics, from the more obvious realm of geometry to the fields of algebra, number theory, and combinatorics. With over 100 new pages
 

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Table des matières

Folding Equilateral Triangles in a Square
1
Origami Trigonometry
15
Dividing a Length into Equal Nths Fujimoto Approximation
23
Dividing a Length into Equal Nths Exactly
35
Origami Helix
41
Folding a Parabola
49
Can Origami Trisect an Angle?
63
Solving Cubic Equations
69
Making Origami Tori
189
Modular Menger Sponge
201
Folding and Coloring a Crane
209
Exploring Flat Vertex Folds
215
Impossible Crease Patterns
231
Folding a Square Twist
239
Counting Flat Folds
247
SelfSimilar Wave
255

Lills Method
83
Folding Strips into Knots
95
Hagas Origamics
103
Modular Star Ring
121
Folding a Butterfly Bomb
129
Mollys Hexahedron
139
Business Card Modulars
153
Five Intersecting Tetrahedra
161
Making Origami Buckyballs
175
Matrix Model of Flat Vertex Folds
265
Matrix Model of 3D Vertex Folds
273
Origami and Homomorphisms
283
Rigid Folds 1 Gaussian Curvature
301
Rigid Folds 2 Spherical Trigonometry
321
Which Activities Go with Which Courses?
329
Bibliography
333
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