Exploring the Steiner-Soddy Porism
Ronaldo Garcia, Liliana Gheorghe, Dan Reznik
TL;DR
This paper investigates the properties and geometric loci of a special family of polygons called Steiner-Soddy, which are related to circle centers in Steiner porism, revealing conserved quantities and connections to Poncelet families.
Contribution
It introduces a detailed analysis of Steiner-Soddy polygons, highlighting their properties, conserved quantities, and relationships to other Poncelet families, expanding understanding of circle configurations.
Findings
Identification of conserved quantities in Steiner-Soddy polygons
Characterization of loci associated with these polygons
Relationship established between Steiner-Soddy and other Poncelet families
Abstract
We explore properties and loci of a Poncelet family of polygons -- called here Steiner-Soddy -- whose vertices are centers of circles in the Steiner porism, including conserved quantities, loci, and its relationship to other Poncelet families.
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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics · Advanced Mathematical Theories and Applications