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Full Description
The hexaflexagon is a folded paper strip of colored triangles that has long delighted people with how it "magically" changes its appearance when "flexed". This hands-on, comprehensive book goes beyond the hexaflexagon, the standard version of this folded puzzle, exponentially expanding the barely explored field of flexagons as it brings new options and fresh insights to light.
● Learn over a dozen different flexes, and make dozens of different flexagons with the aid of step-by-step illustrated directions and templates to copy and print.
● Delve into the internal structure of flexagons and discover a universal way to describe and predict their behavior.
● Learn how to create your own custom flexagons with a special computer program.
● Understand how flexagons are connected to group theory, computer science, and topology.
● Have fun decorating flexagons and make flexagon books, puzzles, pop-ups, mazes, and more.
Written in a clear, easy-to-understand, and conversational style and enhanced with challenges and tips to broaden your flexagon skills and spark creativity, The Secret World of Flexagons: Fascinating Folded Paper Puzzles is a must for flexagon enthusiasts, teachers, students, libraries, mathematicians, and everyone who loves to solve a good puzzle.
Contents
Introduction
Part One: Symmetric Flexes
1: The Pinch Flex
2: General Tips
3: More Faces
4: Triangle Tetraflexagon and Octaflexagon
5: Different Triangles
6: Pinch Flex Variations
7: The Book Flex
8: The Box Flex
Part Two: Asymmetric Flexes9: Flex Diagrams
10: The V-Flex
11: The Tuck Flex
12: The Flip Flex
13: The Pyramid Shuffle Flex
14: Breaking Down Flexes
15: Slot Flexes
Part Three: Learning about Flexagons16: Flexagon Naming
17: State Diagrams
18: Flex Sequences
19: Pat Notation
20: Atomic Flex Theory
21: Defining Flexagon and Flex
22: Groups and Flexagons
23: Flexagon Computers
24: Conrad and Hartline's Flexagon Theory
25: Les Pook's Flexagon Theory
26: Topology
27: Templates and Labels
Part Four: Exploring Flexagons28: Square Silver Octaflexagon
29: Hexagonal Bronze Dodecaflexagon
30: Hexagonal Silver Dodecaflexagon
31: Silver Bracelet
32: Octagonal Ring 14-flexagon
33: Flexagon Inspector
Part Five: Fun with Flexagons34: Decorating Flexagons
35: Flexagon Books
36: Flexagon Puzzles and Mazes
37: Flexagon Pop-ups
38: Cutting Flexagons
Epilogue
Appendices
A: Definitions
B: Flexagon Charts
C: Flex Compendium
Bibliography
