DOIONLINE 
DOIONLINE Publish In |
International Journal of Advances in Science, Engineering and Technology(IJASEAT)-IJASEAT |
 Journal Home Volume Issue |
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Issue |
Volume-9,Issue-4 ( Oct, 2021 ) | |||||||||
Paper Title |
Finding Unique Triangulations of a Polygon using Frieze Patterns | |||||||||
Author Name |
Vani Gupta | |||||||||
Affilition |
University of Massachusetts, Amherst, MA, USA | |||||||||
Pages |
1-4 | |||||||||
Abstract |
A Wallpaper group is a mathematical pattern that repeats or has translations in two directions in the plane. Frieze patterns, similarly, are mathematical patterns that repeat or have translations in one direction. These kinds of patterns often occur in art and architecture such as in the immortals’ archers in Persepolis, wall decorations in Alhambra, intriguing drawings of Maurits Cornelis Escher and many more. Frieze patterns are generally determined using triangulated polygons. This paper reverses the approach and establishes solution to find triangulated polygons belonging to a particular frieze pattern. Furthermore, this paper contrives a new way to calculate the number of unique triangulations of a polygon using frieze patterns. Keywords - Frieze Pattern, Triangulated Polygons | |||||||||
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