Closed circular chains

• Autores: Günhan Caglayan, Ron Lancaster (ed. lit.), Brigitte Bentele (ed. lit.), Christine P. Trinter (ed. lit.)
• Localización: Mathematics teacher, ISSN-e 2330-0582, ISSN 0025-5769, Vol. 110, Nº 2, 2016, págs. 92-97
• Idioma: inglés
• DOI: 10.5951/mathteacher.110.2.0092
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• Resumen

  • Steiner chain is defined as the sequence of n circles that are all tangent to two given nonintersecting circles. A closed chain, in particular, is one in which every circle in the sequence is tangent to the previous and next circles of the chain. In a closed Steiner chain the first and the nth circles of the chain are also tangent to each other. Windows of Norway's Akershus Castle and Fortress show patterns of a particular type with two concentric circles forming an annulus. The window of the Hall of Olav V depicts a closed Steiner chain made of n = 8 congruent circles within the annulus. This article focuses on such chains, also referred to as annular Steiner chains.