Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2023; 38(3): 695-704

Online first article July 24, 2023      Printed July 31, 2023

https://doi.org/10.4134/CKMS.c220245

Copyright © The Korean Mathematical Society.

Areas of polygons with vertices from Lucas sequences on a plane

SeokJun Hong, SiHyun Moon, Ho Park, SeoYeon Park, SoYoung Seo

Korea Science Academy of KAIST; Unjeong High School; Dongguk University; Jeohyeon High School; Daegu Science High School

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Area problems for triangles and polygons whose vertices have Fibonacci numbers on a plane were presented by A. Shriki, O. Liba, and S. Edwards et al. In 2017, V. P. Johnson and C. K. Cook addressed problems of the areas of triangles and polygons whose vertices have various sequences. This paper examines the conditions of triangles and polygons whose vertices have Lucas sequences and presents a formula for their areas.

Keywords: Fibonacci numbers, Lucas numbers, area of polygon

MSC numbers: 11B39

Supported by: H. Park was supported by the National Research Foundation of Korea (NRF-2019 R1C1C1010211). This research was partially supported by the Global Institute For Talented Education of KAIST and Dongguk University funded by the Ministry of Science and ICT and the Ministry of Economy and Finance.

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