Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Gábor Gévay"'
Publikováno v:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 63:459-475
In this paper we introduce point-ellipse configurations and point-conic configurations. We study some of their basic properties, illustrated by properly chosen examples, and describe two interesting infinite families of balanced point-ellipse, respec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a612efd9a19d2ab24d0a976f4199176
https://doi.org/10.1007/s13366-021-00587-y
https://doi.org/10.1007/s13366-021-00587-y
Autor:
Gábor Gévay, Piotr Pokora
In this paper we construct several arrangements of lines and/or conics that are derived from the geometry of the Klein arrangement of $21$ lines in the complex projective plane.
Comment: 20 pages, 11 figures. This is the final version, revised i
Comment: 20 pages, 11 figures. This is the final version, revised i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dfe1c44df44177112526a187eab1681d
The "Grünbaum Incidence Calculus" is the common name of a collection of operations introduced by Branko Grünbaum to produce new $(n_{4})$ configurations from various input configurations. In a previous paper, we generalized two of these operations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8a0d63bcc44e66cdc374f11f1a09f6b
Autor:
Gábor Gévay
Publikováno v:
Discrete Applied Mathematics. 266:319-330
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::31f863fa271f3545aae252c24dd8245d
https://doi.org/10.1016/j.dam.2019.02.019
https://doi.org/10.1016/j.dam.2019.02.019
Publikováno v:
The Art of Discrete and Applied Mathematics.
In a series of papers and in his 2009 book on configurations Branko Grunbaum described a sequence of operations to produce new (n4) configurations from various input configurations. These operations were later called the “Grunbaum Incidence Calculu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc01f128395edfd851fbf811b9140d77
https://doi.org/10.26493/2590-9770.1408.f90
https://doi.org/10.26493/2590-9770.1408.f90
Autor:
Gábor Gévay, Jürgen Bokowski
Publikováno v:
The Art of Discrete and Applied Mathematics.
In 2017 a first selfintersection-free polyhedral realization of Hurwitz’s regular map {3, 7}18 of genus 7 was found by Michael Cuntz and the first author. For any regular map which had previously been realized as a polyhedron without self-intersect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6226e250e03dc5219b8c09c99f0136fb
https://doi.org/10.26493/2590-9770.1362.6f4
https://doi.org/10.26493/2590-9770.1362.6f4
Autor:
Gábor Gévay, Egon Schulte
Publikováno v:
The Art of Discrete and Applied Mathematics.
The Petrie-Coxeter polyhedra naturally give rise to several infi nite families of finite regular maps on closed surfaces embedded into the 3-torus. For the dual pair of Petrie-Coxeter polyhedra {4, 6 | 4} and {6, 4 | 4}, we describe highly-symmetric
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78cd795401add61f2325632db14f14e7
https://doi.org/10.26493/2590-9770.1358.428
https://doi.org/10.26493/2590-9770.1358.428
Publikováno v:
Advances in Geometry. 15:393-408
We revisit the configuration DCD(4) of Danzer, a great inspiration for our work. This configuration of type (354) falls into an in_nite series of geometric point-line configurations DCD(n). Each DCD(n) is characterized combinatorially by having the K
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab7d7b90d0d1e8ebe9ab238bbc1a9c03
https://doi.org/10.1515/advgeom-2015-0019
https://doi.org/10.1515/advgeom-2015-0019
Autor:
Gábor Gévay
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783319784335
We introduce an infinite class of configurations which we call Desargues–Cayley–Danzer configurations. The term is motivated by the fact that they generalize the classical \((10_3)\) Desargues configuration and Danzer’s \((35_4)\) configuration
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a8c0feecb38c5deccbf11877710ade3
https://doi.org/10.1007/978-3-319-78434-2_10
https://doi.org/10.1007/978-3-319-78434-2_10
Publikováno v:
Advances in Geometry. 14:465-482
We discuss a polyhedral embedding of the classical Fricke-Klein regular map of genus 5 in ordinary space E3. This polyhedron was originally discovered by Grünbaum in 1999, but was recently rediscovered by Brehm andWills. We establish isomorphism of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::89a9f87b76be2e4c29ba77308bafa86e
https://doi.org/10.1515/advgeom-2013-0033
https://doi.org/10.1515/advgeom-2013-0033