Origami Heaven Origami Heaven is the website of paperfolding designer and author David Mitchell x 



Suggestions for additions to this bibliography are always welcome.  
Martin Gardner  Hexaflexagons  chapter found in 'Mathematical Puzzles and Diversions'  Penguin books  also published in the USA as The Scientific American book of Mathematical Puzzles and Dversions  contains the story of the discovery of the hexaflexagon by Arthur Stone and details of how to make more complex hexaflexagons. It contains the fascinating sentence 'A complete mathematical theory of flexigation was worked out in 1940 by Tukey and Feynman'. Martin Gardner  Tetraflexagons  chapter found in 'More Mathematical Puzzles and Diversions'  Penguin books  also published in the USA as The Second Scientific American book of Mathematical Puzzles and Dversions  contains details of how to construct the Tritetraflexagon and various slightly more complex forms. This chapter also contains details of the Flexatube puzzle (variously also Flexotube or Flexitube) and gives the Central Line solution. Peter Hilton and Jean Pederson  Constructing Flexagons  chapter in the author's book Build Your own Polyhedra  Menlo Park: CA AddisonWesley  1994  describes how to build and flex (in a very basic way) two silverflexagons which are described here as the 48=flexagon and the 88flexagon. Paul Jackson  Flexagons  British Origami Society  38 pages  is a miscellany of material relating to flexagons and other flexagonlike forms such as rotating rings and hinged cubes etc. It contains a version of Arthur Stone's theory of hexaflexagons (probably indirectly based on the work of Sidney H Scott published by J S Madachy (see below) although no acknowledgement of this is given). The booklet also includes details of Robert E Neale's remarkable Cross Flexagon. J S Madachy  Flexagons  chapter found in 'Mathematics on Vacation'  Scribners / Nelson 1968  contains a simplification of Arthur Stone's theory of hexaflexagons developed by the British puzzlist Sidney H Scott. T B McLean  VFlexing the Hexahexaflexagon  article in American Mathematical Monthly 86, 457466  1979  describes how to use the Vflex technique to find new faces of the hexahexaflexagon and analyses the possibilities mathematically. David Mitchell  Flexagons and Flexigation  Water Trade publications  2002 but now available online on the Flexagons page of this site  is intended to provide a simple but sound introduction to flexagons and flexigation by looking at how to construct, flex, explore, map and vary the simplest of all flexagons, the TriTetraflexagon (though it also provides detailed information about methods of mapping flexagons that can be applied to much more complex examples). This booklet sets out to entertain as well as inform and several puzzles and magical effects based on the tritetraflexagon and its variations are explained. David Mitchell The Magic of Flexagons  Tarquin Publications  ISBN 1899618287  is a fullcolour cutout and gluetogether book primarily aimed at older children and younger adults. The bulk of the book consists of vividly decorated templates for eleven different flexagons, which are structured to present a series of increasingly difficult manipulative challenges. This book also contains a template for the Flexatube puzzle and gives the Easy Street solution. David Mitchell  Silverflexagons and the Flexatube  ISBN 9780953477487  Water Trade publications  2016 combines into one volume David Mitchell's previous series of leaflets on silverflexagons (published in 2002), material about the Flexatube puzzle and its many solutions previously published in the first edition Lesof his Paperfolding Puzzles in 1998 and additional material on compound Flexatubes. It contains detailed explanations and maps on how to access all the known states of the Zigzag Silverflexagon, the Woven Flexitube, the First SlitSquare Silverflexagon and it's nontwisted variants, and the Labyrinth Silverflexagon. Robert E Neale  SelfDesigning Tetraflexagons  article found in 'The Mathemagician and Pied Puzzler  a collection in tribute to Martin Gardner'  Edited by Elwyn Berkelkamp and Tom Rodgers  A R Peters  ISBN 156881075X  considers various ways in which nontwisted flexagons can be constructed from a square divided into a grid of sixteen smaller squares by cutting slits or holes in the centre and/or by removing squares from the corners etc. C O Oakley and R J Wisner  Flexagons  article in American Mathematical Monthly 64, 143154  1957  is a mathematical discussion of and analysis of hexaflexagons. Les Pook  Flexagons Inside Out  Cambridge University Press  2003  169 pages  contains a detailed analysis aand nets for many of the hexaflexagon and tetraflexagon (somewhat mosleadingly called square flexagons here) families and an introduction to several other less well known types of flexagon such as convex polygon flexagons and star flexagons. This is quite a technical book and some understanding of flexagon mathematics is required to follow all its arguments. Les Pook  Serious Fun with Flexagons  A Compendium and Guide  Springer  2009  9789048125029  is an unfortunately very expensive, but excellent, follow up to, and in many ways updating of, the author's previous book, Flexagons Inside Out. It concentrates on edge ring flexagons made from polygons of various shapes frrom a solid mechanics linkage perspective and shows how silver flexagons and bronze flexagons relate to these designs. 
