arXiv:2112.02157
A Web of Confocal Parabolas in a Grid of Hexagons
A Web of Confocal Parabolas in a Grid of Hexagons
著者: Peter Moses, Dan Reznik
分類: math.MG, cs.CG, cs.GR, cs.RO, math.DS
原文アブストラクト
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.