  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.
