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The Flexagon Family

Published online by Cambridge University Press:  03 November 2016

R. F. Wheeler
R. F. Wheeler*
Affiliation:
Hymers College, Hull
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Extract

In Note 2449 (M.G. 1954, p. 213), Dr. F. G. Maunsell gave an account of two interesting figures, the flexagon (F), and a modified “hexahexaflexagram” (H). I have been prompted to investigate this subject further, and find that there is really an infinite family of such figures, whose properties become more vivid when they are studied as a group rather than in isolation.

Type
Research Article
Information
The Mathematical Gazette , Volume 42 , Issue 339 , February 1958 , pp. 1 - 6
Copyright
Copyright © Mathematical Association 1958

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References

Page 4 of note * The existence of these flexagons. F10, F 22, … was discovered independently by Edwin F Ford (now at Harvard University), who was a High School student of mine while I was on exchange in the U.S.A.

Page 6 of note * The evaluation of ϕ(n) is the subject of a forthcoming note.

Page 6 of note † In Note 2672 (Fb. 1957, p. 55), Miss Joan Crampin has described some of these. Her sequence is of the type referred to in the last paragraph as Fn 3m , with n — 1. Her note will explain clearly how the recolouring mentioned there can be accomplished when n = 1.