[math-fun] Jeanine Mosely's snowflake sponge
... made of ~49000 business cards. Neat! Congratulations! http://www.nytimes.com/2013/01/22/science/usc-exhibit-shows-fractals-built-f...
Yes, very neat! That story mentioned something other than the Menger sponge, called the Mosely snowflake sponge (I think), which Jeannine Mosely also organized the construction of at USC. I would love to learn what this is, mathematically. But I haven't been able to find any such description on the Web. There is a webpage about how it is constructed out of business cards. (I'd rather not try to reverse engineer it from that.) Anyone know what it is? Sounds like a 3D version of the Sierpinski (?) snowflake curve. The most obvious version of this has been well studied (and has convex hull equal to a cube). So I suspect it's something else. --Dan On 2013-01-22, at 5:11 PM, Michael Beeler wrote:
... made of ~49000 business cards. Neat! Congratulations!
http://www.nytimes.com/2013/01/22/science/usc-exhibit-shows-fractals-built-f...
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On Tue, Jan 22, 2013 at 8:49 PM, Dan Asimov <dasimov@earthlink.net> wrote:
That story mentioned something other than the Menger sponge, called the Mosely snowflake sponge (I think), which Jeannine Mosely also organized the construction of at USC.
I would love to learn what this is, mathematically. But I haven't been able to find any such description on the Web.
It's like the Menger sponge, in that it involves dividing a cube up into 3x3 sub-cubes, removing some of them, and recursing. While Menger removes the six face centers and the one central cube, Jeannine's snowflake removes the eight corners and the center. (With one iteration, you can't tell that the central cubbie was removed, but at higher depth you can.) Pictures at http://www.gizmag.com/mosely-snowflake-3d-fractal/24088/pictures, for example. --Michael
On 2013-01-22, at 5:11 PM, Michael Beeler wrote:
... made of ~49000 business cards. Neat! Congratulations!
http://www.nytimes.com/2013/01/22/science/usc-exhibit-shows-fractals-built-f...
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participants (3)
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Dan Asimov -
Michael Beeler -
Michael Kleber