I used to

make these on my

notebooks in high school. I'm so glad there's a node for them. The only thing I feel should be

added is that this

continuing shape (where you draw little triangles out from the middles of the sides of the big one, with their sides 1/3 the length of the original, and then

repeated that operation over and over again) is one of

few examples of an

infinite line enclosing a

finite area. If you draw a

circle around the

original triangle, the continuous figure you end up drawing will never enclose more space than that

circle, and yet the line around the outside of the figure is

infinite in length, as long as you keep

generating it by adding more

little triangles to the sides. It always

approaches the amount of

area tha the circle has, but it'll never

get there. It's

asymptotic.

Thanks for the

node; you got my vote.