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On counting the physical faces of hexaflexagons

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UT-SLUC-2019-CAS-BSMATH-MinaKA-FT.pdf (13.39 MB)
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2019-05
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Don Mariano Marcos Memorial State University - South La Union Campus
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The purpose of this descriptive pure basic mathematics research is to develop an algorithm 10 generate physical faces of hexaflexagon when both pinch and tuck flex are applied. Furthermore, finding an efficient way to count the number of physical faces of a hexaflexagon composed 9n-regular triangle where n? 2 was also considered in this study. Following the developed algorithm in generating physical faces of hexaflexagon may take quite some time or even longer. There are no known short method that could lead to the termination of the algorithm. Three consecutive tuck flex is the shortest pattern observed. It was established that the number if physical faces of a hexaflexagon depends on the number of color combination and their arrangement into the faces of the hexaflexagon.
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Mina, K. A. L., Caoile, J. F. F., Lopez, C. J. D., & Ubungen, R. P. (2019) On counting the physical faces of hexaflexagons [Unpublished Undergraduate thesis]. Don Mariano Marcos Memorial State University - South La Union Campus, Agoo, La Union.
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https://lakasa.dmmmsu.edu.ph/handle/123456789/294
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