[math-fun] Fun math I've been doing lately
Brice Due made a 2048x2048 Life pattern that simulates the Life rules. All the machinery is in a thin layer around the edge; the center is an empty field that gets flooded with LWSS's when it's turned on. Since the size of the pattern is a power of 2, Golly can memoize its internal states efficiently and can run it as fast as a single pixel. There's a "metafier" script in Golly that takes any pattern and constructs a grid of metapixels running that pattern. I took part of the metapixel itself, a stream of LWSSs, and then made a small video that zooms out and speeds up, only to return to the image at the beginning of the video: http://www.youtube.com/watch?v=QtJ77qsLrpw I then did a version of Escher's "Print Gallery" http://media.cleveland.com/ent_impact_arts/photo/ax192-7f8a-9jpg-b7073d105f6... but using the LWSSs: http://reperiendi.wordpress.com/2011/03/10/print-gallery-metapixel/ Here are some alternate versions involving doubled or reversed spirals: http://reperiendi.wordpress.com/2011/03/10/more-views-of-the-metapixel/ I made a stereographic projection of the 16-cell and 24-cell polytopes out of hula hoops: http://www.youtube.com/watch?v=-0rFECk-uRg http://reperiendi.wordpress.com/2011/03/01/hooped-up-24-cell/ My brother and I made this image from the famous "Powers of 10" video: http://reperiendi.wordpress.com/2011/03/10/powers-of-10/ Can you figure out how? -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com
Mike, I love your logarithmic universe image. I created one by hand when I was 10 years old, shortly after seeing the Charles and Ray Eames short film (1968 version). I used a roll of blank adding machine tape and the scale was approximately one power of ten per foot of adding-machine tape. Thus I did not show the full 360 degrees. The drawing included a human figure whose head appeared smaller than his big toe. I’m pretty sure I used a slide rule to aid in measurement and placement. You may be interested in similar Mandelbrot set views, see mrob.com/pub/muency/exponentialmap.html for one example (-: On Thu, Mar 10, 2011 at 18:12, Mike Stay <metaweta@gmail.com> wrote:
http://reperiendi.wordpress.com/2011/03/10/powers-of-10/ [...]
-- Robert Munafo -- mrob.com Follow me at: fb.com/mrob27 - twitter.com/mrob_27 - mrob27.wordpress.com- youtube.com/user/mrob143 - rilybot.blogspot.com
On Fri, Mar 11, 2011 at 6:03 PM, Robert Munafo <mrob27@gmail.com> wrote:
Mike, I love your logarithmic universe image. I created one by hand when I was 10 years old, shortly after seeing the Charles and Ray Eames short film (1968 version). I used a roll of blank adding machine tape and the scale was approximately one power of ten per foot of adding-machine tape. Thus I did not show the full 360 degrees. The drawing included a human figure whose head appeared smaller than his big toe. I’m pretty sure I used a slide rule to aid in measurement and placement.
The picture was also created using Eames' movie.
You may be interested in similar Mandelbrot set views, see mrob.com/pub/muency/exponentialmap.html for one example (-:
Yeah, that's nice! -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com
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Robert Munafo