The V-flex, triangle orientation, and catalan numbers in hexaflexagons

Ionut E. Iacob; T. Bruce Mclean; Hua Wang

doi:10.4169/college.math.j.43.1.006

The V-flex, triangle orientation, and catalan numbers in hexaflexagons

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	6-10
Number of pages	5
Journal	College Mathematics Journal
Volume	43
Issue number	1
DOIs	https://doi.org/10.4169/college.math.j.43.1.006
State	Published - Jan 2012

Scopus Subject Areas

General Mathematics
Education

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10.4169/college.math.j.43.1.006

Cite this

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title = "The V-flex, triangle orientation, and catalan numbers in hexaflexagons",

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.",

author = "Iacob, \{Ionut E.\} and Mclean, \{T. Bruce\} and Hua Wang",

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AU - Wang, Hua

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84863229869

U2 - 10.4169/college.math.j.43.1.006

DO - 10.4169/college.math.j.43.1.006

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SP - 6

EP - 10

JO - College Mathematics Journal

JF - College Mathematics Journal

IS - 1

ER -

The V-flex, triangle orientation, and catalan numbers in hexaflexagons

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