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

University Politehnica of Bucharest
University of Kentucky
University of North Carolina at Wilmington
Ohio Northern University
Bowling Green State University
University of South Carolina
University of Florida
Georgia Southern University

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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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.

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DO - 10.4169/college.math.j.43.1.006

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JF - College Mathematics Journal

IS - 1

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

Abstract

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