On a polygon whose side lengths form a geometric sequence

• Victor Oxman ^[1]
  1. [1] Western Galilee College

     Western Galilee College

     Israel

     
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 57, Nº. 3, 2026, págs. 591-597
• Idioma: inglés
• DOI: 10.1080/0020739X.2024.2404416
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this article, we discuss the necessary and sufficient conditions for the existence of a polygon whose side lengths form a geometric sequence. We prove that such a polygon exists if and only if the common ratio r of the geometric sequence satisfies the condition 0.5 < r < 2. A formula has been obtained to determine the minimum number of the polygon sides for a given r. The article illustrates the relation between various branches of mathematics (geometry, sequences, limits) and can be used by university and college students specialising in mathematics and its teaching.