Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-12-04T19:53:06.652Z Has data issue: false hasContentIssue false
  • English
  • Français

The Flexagon Family

Published online by Cambridge University Press:  03 November 2016

R. F. Wheeler
R. F. Wheeler*
Affiliation:
Hymers College, Hull
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.