A Web of Confocal Parabolas in a Grid of Hexagons

Autor:	Moses, Peter, Reznik, Dan
Rok vydání:	2021
Předmět:	Mathematics - Metric Geometry Computer Science - Computational Geometry Computer Science - Graphics Computer Science - Robotics Mathematics - Dynamical Systems 51M04 51N20 51N35 68T20
Druh dokumentu:	Working Paper
Popis:	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, forming an infinite grid of regular hexagons and flank triangles, (iii) a web of confocal parabolas with only three distinct foci interweaves the vertices of hexagons in the grid. Finally, (iv) said foci are the vertices of an equilateral triangle. Comment: 18 pages, 21 figures, 3 video links
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2112.02157 Zobrazit plný text záznamu View this record from Arxiv