Dynamic geometry of hyperbolic and spherical nested triangles

DOI10.1007/s00022-024-00728-3zbMATH Open1547.51026MaRDI QIDQ6596305

Ren Guo

Publication date: 2 September 2024

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

spherical geometryhyperbolic geometrylimitdynamic geometrynested triangles

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Geometric constructions in real or complex geometry (51M15) Low-dimensional dynamical systems (37E99) General convexity (52A99)

Cites Work

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• Markov chains and dynamic geometry of polygons
• On sequences of nested triangles
• Foundations of Hyperbolic Manifolds
• The limit of a pedal sequence of triangles
• The Sequence of Pedal Triangles
• Cyclic Properties of Miquel Polygons
• Dynamic geometry of polygons
• The sequence of generalized median triangles and a new shape function
• Plane and spherical trigonometry.

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