geep opened this issue on Feb 17, 2006 ยท 37 posts
lmacken posted Mon, 20 February 2006 at 4:03 AM
Attached Link: http://en.wikipedia.org/wiki/Sierpinski_triangle
This is a very cool figure. I could go on at length; but it's 2am on Monday morning (oh, noes). Two quick points:"The tetrix is the three-dimensional analog of the Sierpinski triangle." As it gets more complex (you're up to a frequecy of 4) the surface approaches infinity, as the volume approaches 0.
http://en.wikipedia.org/wiki/Sierpinski_triangle
As Bucky Fuller (RIP these 20 years!) would have called it; "Our good friend the tetrahedron" is the basis of his Synergetic geometry.
http://www.netaxs.com/people/cjf/fuller-faq-2.html
"The minimal system with the fewest possible points is a tetrahedron -- four points make a primitive volume with an inside and an outside. The canonical tetrahedron has a volume of one."
Message edited on: 02/20/2006 04:06