Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Dan Reznik"'
Autor:
Ronaldo Alves Garcia, Dan Reznik
Publikováno v:
European Journal of Mathematics. 8:308-329
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38a70e5dcdffe2d4b0596a38a39b73dd
https://doi.org/10.1007/s40879-022-00529-5
https://doi.org/10.1007/s40879-022-00529-5
Publikováno v:
KoG. :16-32
We revisit constructions based on triads of conics with foci at pairs of vertices of a reference triangle. We find that their 6 vertices lie on well-known conics, whose type we analyze. We give conditions for these to be circles and/or degenerate. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18ed5ea9eca8ec536bbf61df2ee59033
https://doi.org/10.31896/k.26.2
https://doi.org/10.31896/k.26.2
Publikováno v:
Journal of Dynamical and Control Systems. 29:157-184
We study center power with respect to circles derived from Poncelet 3-periodics (triangles) in a generic pair of ellipses as well as loci of their triangle centers. We show that (i) for any concentric pair, the power of the center with respect to eit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea3b4cd727e854363d7a00fea059c675
https://doi.org/10.1007/s10883-021-09580-z
https://doi.org/10.1007/s10883-021-09580-z
Publikováno v:
Lecture Notes on Data Engineering and Communications Technologies ISBN: 9783031135873
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc6c25c547896d91cfd00b2fe7080b9e
https://doi.org/10.1007/978-3-031-13588-0_3
https://doi.org/10.1007/978-3-031-13588-0_3
Autor:
Dan Reznik
Publikováno v:
Lecture Notes on Data Engineering and Communications Technologies ISBN: 9783031135873
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9078a2ede92ab6ba568b320a14aa7630
https://doi.org/10.1007/978-3-031-13588-0_21
https://doi.org/10.1007/978-3-031-13588-0_21
Autor:
Dan Reznik, Boris Odehnal
Publikováno v:
Lecture Notes on Data Engineering and Communications Technologies ISBN: 9783031135873
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93487ec32406031231a2465056b213cf
https://doi.org/10.1007/978-3-031-13588-0_4
https://doi.org/10.1007/978-3-031-13588-0_4
Publikováno v:
Journal of Dynamical and Control Systems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8363ee53c1ad54841f76beb58777c4d4
https://doi.org/10.1007/s10883-022-09608-y
https://doi.org/10.1007/s10883-022-09608-y
Autor:
Peter Moses, Dan Reznik
Publikováno v:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry.
If one erects regular hexagons upon the sides of a triangle $T$, several surprising properties emerge, including: (i) the triangles which flank said hexagons have an isodynamic point common with $T$, (ii) the construction can be extended iteratively,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::654183a27a1af5124b44e5895c566b69
https://doi.org/10.1007/s13366-022-00651-1
https://doi.org/10.1007/s13366-022-00651-1
Using experimental techniques, we study properties of the "circumcenter map", which, upon $n$ iterations sends an $n$-gon to a scaled and rotated copy of itself. We also explore the topology of area-expanding and area-contracting regions induced by t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49205078bfeb3475af988e97fd17bab7
We study loci and properties of a Parabola-inscribed family of Poncelet polygons whose caustic is a focus-centered circle. This family is the polar image of a special case of the bicentric family with respect to its circumcircle. We describe closure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd8ed2681993845f0eeff3bc6e454ebe
http://arxiv.org/abs/2111.00979
http://arxiv.org/abs/2111.00979