Triangle Divided
There was a neat bit of mathart by someone called Delta tiling a 30-60-90 triangle rather beautifully.
http://d3lt4.tumblr.com/post/93216681774/geometric-7-art-print-also-available-as
Besides appreciating it, that almost always makes me want to dynamicize it. After thinking a bit, I wondered if it might make for a artsy visual way to look at triangle centers.
The buttons let you make particular shapes or centers, or you can drag the points to free explore.