Флексагон

Флексагон - головоломка, сложенная из бумаги; обладает занимательными математическими свойствами и эстетически привлекательна. Головоломка (гексафлексагон) была создана в 1939 году математиком Стоуном, который привлёк к ней внимание Тьюки и Фейнмана.

История

Открытие и первые шаги

Литература

• Les Pook Serious Fun with Flexagons, A Compendium and Guide. — Springer, 2009. — ISBN 9048125022^{о книге}
• Pook, Les, Flexagons Inside Out, Cambridge University Press (2006), ISBN 0-521-81970-9 [1]
• Martin Gardner has written an excellent introduction to hexaflexagons in one of his Mathematical Games column in Scientific American. It also appears in:
  • The "Scientific American" Book of Mathematical Puzzles and Diversions (Simon & Schuster, 1959).
  • Hexaflexagons and Other Mathematical Diversions: The First "Scientific American" Book of Puzzles and Games (University of Chicago Press, 1988; ISBN 0226282546)
  • Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi: Martin Gardner's First Book of Mathematical Puzzles and Games (Cambridge University Press, 2008; ISBN 0521735254)

См. также

• Geometric group theory
• Cayley tree
• Octahedron: two identically formed nonplanar flexagons: one octahedron

Внешние ссылки

На английском языке

Flexagons:

• My Flexagon Experiences by Harold V. McIntosh — contains valuable historical information and theory; the author's site has several flexagon related papers listed in [2] and even boasts some flexagon videos in [3].
• The Flexagon Portal — Robin Moseley's site has patterns for a large variety of flexagons.
• Flexagons is a good introduction, including a large number of links.
• Flexagons — Scott Sherman's site, with a bewildering array of flexagons of different shapes.

Tetraflexagons:

• MathWorld's page on tetraflexagons, including three nets
• Folding User Interfaces - A mobile phone design concept based on a tetraflexagon; Folding the design gives access to different user interfaces.
• Flexifier - a simple online tetraflexagon generator
• Instructions for making cyclic hexa-tetraflexagon from just one piece of paper.

Hexaflexagons:

• Flexagons — 1962 paper by Antony S. Conrad and Daniel K. Hartline (RIAS)
• MathWorld entry on Hexaflexagons
• Hexaflexagon Toolkit software for printing flexagons from your own pictures
• Hexaflexagons — a catalog compiled by Antonio Carlos M. de Queiroz (c.1973).
  Includes a program named HexaFind that finds all the possible Tuckerman traverses for given orders of hexaflexagons.