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查看完整版本 : The Complement of the Menger Sponge - Cleve Moler on Mathematics and Computing


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2021-12-28, 09:00
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The complement of an evolving Menger sponge is all of the material that has been removed so far.

ContentsLevel zero (https://www.labfans.com/bbs/#9aa050cb-b758-4049-9a6a-52d5080d7712)Level one (https://www.labfans.com/bbs/#e26cc7d5-a36d-460d-b09f-20440527208d)Level one complement (https://www.labfans.com/bbs/#9ecea73d-a97e-4b3e-b096-4acc6a5c340d)The union (https://www.labfans.com/bbs/#089c2e3b-28c6-42d8-92fb-3ee5b330842a)Until next year (https://www.labfans.com/bbs/#cd6857b5-e880-474e-9b55-9b9d16efb925)Level zeroI described the Menger sponge fractal in this blog three weeks ago (https://blogs.mathworks.com/cleve/2021/12/06/the-menger-sponge-fractal/). At level zero, you begin with a solid cube of, say, gold.



Level oneTrisect the level zero cube into 3x3x3 = 27 smaller cubes, like a Rubik's cube without the labels. Remove the center cube from each of the six faces, as well as the cube at the very center. This leaves these 27 -



...read more >> (https://blogs.mathworks.com/cleve/?p=8173)



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