The Complement of the Menger Sponge - Cleve Moler on Mathematics and Computing
 

[IMG]https://www.labfans.com/bbs/[/IMG]
The complement of an evolving Menger sponge is all of the material that has been removed so far.

Contents[URL="https://www.labfans.com/bbs/#9aa050cb-b758-4049-9a6a-52d5080d7712"]Level zero[/URL][URL="https://www.labfans.com/bbs/#e26cc7d5-a36d-460d-b09f-20440527208d"]Level one[/URL][URL="https://www.labfans.com/bbs/#9ecea73d-a97e-4b3e-b096-4acc6a5c340d"]Level one complement[/URL][URL="https://www.labfans.com/bbs/#089c2e3b-28c6-42d8-92fb-3ee5b330842a"]The union[/URL][URL="https://www.labfans.com/bbs/#cd6857b5-e880-474e-9b55-9b9d16efb925"]Until next year[/URL]Level zeroI described the Menger sponge fractal in this blog [URL="https://blogs.mathworks.com/cleve/2021/12/06/the-menger-sponge-fractal/"]three weeks ago[/URL]. 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 -



...[URL="https://blogs.mathworks.com/cleve/?p=8173"]read more >>[/URL]



[url=https://blogs.mathworks.com/cleve/2021/12/27/the-complement-of-the-menger-sponge/?s_tid=feedtopost]More...[/url]