Pappus's theorem and the modular group
Richard Evan Schwartz (1993)
Publications Mathématiques de l'IHÉS
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Displaying similar documents to “The pentagram map is recurrent.”
Pappus's theorem and the modular group
Convex sets in projective space
J. de Groot, H. de Vries (1956-1958)
Compositio Mathematica
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Flags in Euclidean three-space.
Odenhal, Boris (2006)
Mathematica Pannonica
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The centers of gravity of the associahedron and of the permutahedron are the same.
Hohlweg, Christophe, Lortie, Jonathan, Raymond, Annie (2010)
The Electronic Journal of Combinatorics [electronic only]
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Polyhedra with specified links
Alina Vdovina (2002-2003)
Séminaire de théorie spectrale et géométrie
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An alternative definition of the notion valuation in the theory of near polygons.
De Bruyn, Bart (2009)
The Electronic Journal of Combinatorics [electronic only]
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The Gergonne point generalized through convex coordinates.
Boyd, J.N., Raychowdhury, P.N. (1999)
International Journal of Mathematics and Mathematical Sciences
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General projections in spaces of pencils.
Prażmowski, Krzysztof, Żynel, Mariusz (2005)
Beiträge zur Algebra und Geometrie
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Erdős-Mordell inequality for space n-gons.
Pech, P. (1994)
Mathematica Pannonica
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2-frieze patterns and the cluster structure of the space of polygons
Sophie Morier-Genoud, Valentin Ovsienko, Serge Tabachnikov (2012)
Annales de l’institut Fourier
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We study 2-frieze patterns generalizing that of the classical Coxeter-Conway frieze patterns. The geometric realization of this space is the space of -gons (in the projective plane and in 3-dimensional vector space) which is a close relative of the moduli space of genus curves with marked points. We show that the space of 2-frieze patterns is a cluster manifold and study its algebraic and arithmetic properties.
Does any convex quadrilateral have circumscribed ellipses?
Jia Hui Li, Zhuo Qun Wang, Yi Xi Shen, Zhong Yuan Dai (2017)
Open Mathematics
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The past decades have witnessed several well-known beautiful conclusions on four con-cyclic points. With highly promising research value, we profoundly studied circumscribed ellipses of convex quadrilaterals in this paper. Using tools of parallel projective transformation and analytic geometry, we derived several theorems including the proof of the existence of circumscribed ellipses of convex quadrilaterals, the properties of its minimal coverage area, and locus center, respectively....