Title

The V-Flex, Triangle Orientation, and Catalan Numbers in Hexaflexagons

Document Type

Contribution to Book

Publication Date

2012

Publication Title

Martin Gardner in the Twenty-First Century

DOI

10.5948/UPO9781614448013.014

ISBN

9781614448013

Abstract

Regular hexaflexagons mysteriously change faces as you pinch flex them. This paper describes a different flex, the V-flex, which allows the hexahexaflexagon (with only 9 faces under the pinch flex) to have 3420 faces. The article goes on to explain the classification of triangle orientations in a hexaflexagon and to give an example of flexagon combinatorics.

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