Steiner's Hat: a Constant-Area Deltoid Associated with the Ellipse

Autor:	Hellmuth Stachel, Mark Helman, Ronaldo Garcia, Dan Reznik
Rok vydání:	2020
Předmět:	Mathematics - Differential Geometry Computational Geometry (cs.CG) FOS: Computer and information sciences Mathematical analysis Deltoid curve Negative pedal curve Metric Geometry (math.MG) Dynamical Systems (math.DS) Ellipse Graphics (cs.GR) Image (mathematics) 51M04 51N20 65D18 Computer Science - Graphics Mathematics - Metric Geometry Differential Geometry (math.DG) FOS: Mathematics Computer Science - Computational Geometry Mathematics::Metric Geometry Affine transformation Mathematics - Dynamical Systems Invariant (mathematics) Constant (mathematics) Mathematics
DOI:	10.48550/arxiv.2006.13166
Popis:	The Negative Pedal Curve (NPC) of the Ellipse with respect to a boundary point M is a 3-cusp closed-curve which is the affine image of the Steiner Deltoid. Over all M the family has invariant area and displays an array of interesting properties. Comment: 23 pages, 16 figures, 4 tables, 6 video links
Databáze:	OpenAIRE
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