Experiments with moduli of quadrilaterals
Antti Rasila, Matti Vuorinen
TL;DR
This paper reviews conformal moduli of rings and quadrilaterals, discusses computational methods, presents recent results for polygonal-sided quadrilaterals, and shares numerical experiments to illustrate these concepts.
Contribution
It provides a comprehensive overview of computational techniques and recent findings related to conformal moduli of quadrilaterals with polygonal sides.
Findings
Review of computational methods for conformal moduli
Recent results on polygonal-sided quadrilaterals
Numerical experiments demonstrating theoretical concepts
Abstract
Basic facts and definitions of conformal moduli of rings and quadrilaterals are recalled. Some computational methods are reviewed. For the case of quadrilaterals with polygonal sides, some recent results are given. Some numerical experiments are presented.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Mathematics and Applications · Matrix Theory and Algorithms