GETMe.anis: On geometric polygon transformations leading to anisotropy
Dimitris Vartziotis, Juri Merger
TL;DR
This paper analyzes linear geometric polygon transformations to understand how they can be iteratively used to shape polygons towards desired forms, focusing on the development of methods to induce anisotropy.
Contribution
It introduces a new analysis of polygon transformations that systematically lead to anisotropic shapes through iterative procedures.
Findings
Transformation methods effectively induce anisotropy.
Iterative procedures converge to desired polygon shapes.
The approach provides insights into shape control via geometry.
Abstract
This work contributes to the analysis of linear geometric polygon transformations with the aim to force a desired shape by an iterative procedure.
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Taxonomy
TopicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry · Robotic Mechanisms and Dynamics · Mathematics and Applications