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

Article

Publication Date

1-2012

Publication Title

College Mathematics Journal

DOI

10.4169/college.math.j.43.1.006

ISSN

1931-1346

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." College Mathematics Journal, 43 (1): 6-10. doi: 10.4169/college.math.j.43.1.006
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/62