Karl131058
Forums Freshman
Posts: 18
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« on: June 27, 2008, 05:26:39 PM » |
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Hi people, me again, and there is this polish mathematician in the subject line, too. This time it's 2d, even simpler, and NO theory question. Sierpinskis triangle is defined by "ifs" : take three copies, halve the size, and move them towards the corners of a triangle.
For reasons I can't remember any more (and it was only the beginning of april, talk about loss of memory here) I changed that into: take three copies, halve the size, rotate n degrees, and move them towards the corners of a triangle.
When n is 0, 120, 240 degrees the well known figure appears! For n = 60, 180, 300 there is some snowflaky thingie looking like the attached picture. I had found one or two instances of that thing on the net - can't seem to find it again, but it was only shown, not given a name. Since for any other angles than those mentioned the result seem to be disconnected (see second attachment, tiny animated gif), you got exactly two connected sets in that series: sierpinski triangle and "TheFlake".
Does anybody know if "TheFlake" has been given an official name?
Thank you for your time Karl
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