Notice that if you magnify any of the small triangles, you get back to the original big triangle! In other words, this object is self similar. Self similarity is an important property of fractal objects. Check this out by zooming into the picture below.
You can go on zooming in to an infinite number of levels, and the object will still look the same!
Thank you to the person that sent me this. I beg your pardon, but I have lost your website to point to. If you email it to me again, I will acknowledge. Much thanks.