Dynamic geometry of polygons

DOI10.1007/s000170050086zbMath1004.51022OpenAlexW2159116171MaRDI QIDQ5945673

Xin-Min Zhang, L. Richard Hitt

Publication date: 26 January 2003

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000170050086

zbMATH Keywords

isoperimetric inequalitiescyclic polygonspolygon sequences

Mathematics Subject Classification ID

Isoperimetric problems for polytopes (52B60) Elementary problems in Euclidean geometries (51M04)

Related Items (2)

Markov chains and dynamic geometry of polygons ⋮ On the dynamic geometry of Kasner triangles with complex parameter

Cites Work

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• Bonnesen-style inequalities and pseudo-perimeters for polygons
• Iterative Processes in Elementary Geometry
• The Ergodic Character of Sequences of Pedal Triangles
• The Sequence of Pedal Triangles
• Sequences of Polygons
• Cyclic polygons and related questions
• Mixing Property of the Pedal Mapping
• Cyclic Transformations of Polygons and the Generalized Inverse
• The Symbolic Dynamics of the Sequence of Pedal Triangles
• Schur-convex functions and isoperimetric inequalities
• A Polygon Problem
• Inequalities: theory of majorization and its applications

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