The sierpinski triangle page to end most sierpinski triangle pages
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Re: The sierpinski triangle page to end most sierpinski triangle pages
#2This is certainly more detailed than mine but I also have a blog post (http://lifebeyondfife.com/87-beauty-html/) documenting three different methods and the JavaScript code to make these in an HTML5 canvas on GitHub: https://github.com/lifebeyondfife/Sierpinski.
EDIT: After going back for a further look, saying that the original link is more detailed than mine doesn't do justice to the amount of content (images, animations, code, explanations) there actually is.
Re: The sierpinski triangle page to end most sierpinski triangle pages
#3My favorite part of the article:
>From what I can tell, one of the settings used to deal with division by 0 is the so-called Riemann sphere, which is where we take a space shuttle and use it to fly over and drop a cow on top of a biodome, and then have the cow indiscriminately fire laser beams at the grass inside and around the biodome. That's my intuitive understanding of it anyway.
also:
>Our cow isn't staring into infinity. It's looking down at infinity, observing infinity with detached understanding. If our cow were not so enlightened, and also had the facial muscles, it might betray the subtlest of smiles at infinity's infinity face, for infinity's turbid fractal whirlpools and vast lethargic swamps are but swathes of data like any other to this cow.
Re: The sierpinski triangle page to end most sierpinski triangle pages
#4I could only think of the triforce the whole time.
Re: The sierpinski triangle page to end most sierpinski triangle pages
#5I could only think of the triforce the whole time.
But this is a rad project
Re: The sierpinski triangle page to end most sierpinski triangle pages
#6Previous thread : https://news.ycombinator.com/item?id=6516114
Re: The sierpinski triangle page to end most sierpinski triangle pages
#7For some good hands-on intuition of the Sierpinski Triangle check out this tutorial on using some open-source (research) software to build a tile-set which will self-assemble the Sierpinski triangle: http://self-assembly.net/wiki/index.php?title=Sierpinski_tri...
Last summer I received an undergraduate research grant to work on ISU TAS (the above linked software). So I'd love to see more people using it outside of the research community!
For more information on algorithmic self-assembly in general http://self-assembly.net
Re: The sierpinski triangle page to end most sierpinski triangle pages
#8I first saw this when I happened to be struggling with the early Project Euler problems. The deeper insights and analysis it offered, combined with the sense of humour, really helped me understand and solve the simple problems where a straightforward "Intro to X Concept" failed.
Re: The sierpinski triangle page to end most sierpinski triangle pages
#9My favorite part of the article: >From what I can tell, one of the settings used to deal with division by 0 is the so-called Riemann sphere, which is where we take a space shuttle and use it to fly over and drop a cow on top of a biodome, and then have the cow indiscriminately fire laser beams at the grass inside and around the biodome. That's my intuitive understanding of it anyway. also: >Our cow isn't staring into…
What may not be obvious without (or, actually, even with) reading the actual article is that that stuff about cows on biodomes actually is a (rather facetious) way of describing what the Riemann sphere is.
Re: The sierpinski triangle page to end most sierpinski triangle pages
#10My favorite part of the article: >From what I can tell, one of the settings used to deal with division by 0 is the so-called Riemann sphere, which is where we take a space shuttle and use it to fly over and drop a cow on top of a biodome, and then have the cow indiscriminately fire laser beams at the grass inside and around the biodome. That's my intuitive understanding of it anyway. also: >Our cow isn't staring into…
One of the coolest parts of the article is at the very end when he algorithmically constructs music with the sierpinski triangle. http://www.oftenpaper.net/img/sierzrp1.mp3