ERIC Number: EJ1113005
Record Type: Journal
Publication Date: 2016-Sep
Pages: 6
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0025-5769
EISSN: N/A
Closed Circular Chains
Caglayan, Günhan
Mathematics Teacher, v110 n2 p92-97 Sep 2016
A Steiner chain is defined as the sequence of n circles that are all tangent to two given non-intersecting 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 "n"th 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.
Descriptors: Geometric Concepts, Geometry, Plane Geometry, Mathematical Concepts, Comparative Analysis, Foreign Countries, Equations (Mathematics)
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: NCTM@nctm.org; Web site: http://www.nctm.org/publications/mathematics-teacher/
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Norway; Sweden (Stockholm); Turkey (Istanbul)
Grant or Contract Numbers: N/A