Infinite Equilateral

Like how that rolls off the tongue....

At any rate, was getting the HB on the walls sometime in the final days of Ottawa and came up with this silliness. A large equilateral triangle containing smaller shapes: namely a hexagon with three smaller equilateral triangles complementing it, filling the initial triangle.

The fun part is that both the hexagon and the smaller triangles can be continually filled with smaller and smaller equilateral triangles -- and this, seemingly ad infinitum. Then I thought about that for a while and that hurt my brain almost as much as does conceptualizing infinity. So I stopped.

Regardless, the 'infinite' scheme is not wholly real because one would eventually run out of space given the size of the initial equilateral triangle. Now where's the fun in that?

Fun times, happy days.

S*
2006.05.19