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

Authors

Ionut E. Iacob, Georgia Southern UniversityFollow
T. Bruce McLean, Georgia Southern UniversityFollow
Hua Wang, Georgia Southern UniversityFollow

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.

Recommended Citation

Iacob, Ionut E., T. Bruce McLean, Hua Wang. 2012. "The V-Flex, Triangle Orientation, and Catalan Numbers in Hexaflexagons." Martin Gardner in the Twenty-First Century, Michael Henle and Brian Hopkins (Ed.): 103-108: Mathematical Association of America (MAA). doi: 10.5948/UPO9781614448013.014 isbn: 9781614448013
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/61