Skip to main content

Timeline for L-systems and Sierpinski Triangle

Current License: CC BY-SA 3.0

12 events
when toggle format what by license comment
Mar 10, 2017 at 9:42 history edited CommunityBot
replaced http://upload.wikimedia.org/ with https://upload.wikimedia.org/
May 10, 2013 at 15:43 vote accept Behzad
Apr 30, 2013 at 14:34 answer added Douglas Zare timeline score: 7
Apr 27, 2013 at 17:12 answer added Per Alexandersson timeline score: 3
Apr 27, 2013 at 15:47 comment added Joel David Hamkins I had just meant the self-similarity feature, which I think is widely discussed. But I added a more concrete description as an answer.
Apr 27, 2013 at 14:48 answer added Joel David Hamkins timeline score: 4
Apr 27, 2013 at 14:45 comment added Behzad @Joel Yes, that's my question. I searched but didn't find anything about "fundamental fractal symmetry". Would you kindly tell me where to read about it?
Apr 27, 2013 at 14:22 comment added Joel David Hamkins Behzad, are you asking for an explanation of how one would derive or come up with those L-systems? The generating rules express the fundamental fractal symmetries of the Sierpinski triangle.
Apr 27, 2013 at 14:18 comment added Behzad @Joel. Thanks, but my question in the essence is the same as what nvcleemp stated. Suppose that I'm going to write the rules for an L-system such that it will converge to the triangle AND I'm not aware of those two L-systems mentioned in Wikipedia. How should I think about this problem?
Apr 27, 2013 at 13:56 comment added nvcleemp As I understand it, the question is how one could predict that an L-system converges to the Sierpinski triangle.
Apr 27, 2013 at 11:16 comment added Joel David Hamkins It's very nice. But doesn't example 5 on the wikipedia page to which you link provide two different L-systems that converge to the Sierpinski triangle? The meaning of the generated words is explained there. Could you clarify exactly what is the question here?
Apr 27, 2013 at 6:37 history asked Behzad CC BY-SA 3.0