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The Flexagon Family

Published online by Cambridge University Press:  03 November 2016

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

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
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.