Poncelet Spatio-Temporal Surfaces and Tangles
Claudio Esperan\c{c}a, Ronaldo Garcia, Dan Reznik
TL;DR
This paper investigates the geometric and topological characteristics of 3D surfaces generated by Poncelet triangles and examines the tangles formed by related points, revealing new insights into their structure.
Contribution
It introduces a novel analysis of Poncelet spatio-temporal surfaces and associated tangles, combining geometric and topological methods.
Findings
Identification of unique topological properties of Poncelet surfaces
Characterization of tangles formed by Poncelet-related points
New insights into the geometry of Poncelet configurations
Abstract
We explore geometric and topological properties of 3d surfaces swept by Poncelet triangles, as well as tangles formed by associated points.
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Taxonomy
TopicsMathematics and Applications · Digital Image Processing Techniques · History and Theory of Mathematics