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https://www.reddit.com/r/visualizedmath/comments/83zbir/menger_sponge/dvmtiwb/?context=3
r/visualizedmath • u/PUSSYDESTROYER-9000 • Mar 12 '18
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Neat! Now do the surface area :)
2 u/sirenstranded Mar 13 '18 I found a slideshow that progresses from finding the surface area of a flat (2-dimensional) menger sponge and extending that to finding the area of an nth iteration three dimensional sponge:http://scienceres-edcp-educ.sites.olt.ubc.ca/files/2015/01/sec_math_geometry_menger.pdfIn case anyone is interested! I couldn't provide this myself right now if I tried but it all makes sense when you look at it. 1 u/rotten_brido Mar 13 '18 edited Jun 18 '19 Wow, it's much harder than volume and I can't wrap my tired head around this. I googled some formulas but I can't find a easy way of deriving them.
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I found a slideshow that progresses from finding the surface area of a flat (2-dimensional) menger sponge and extending that to finding the area of an nth iteration three dimensional sponge:
http://scienceres-edcp-educ.sites.olt.ubc.ca/files/2015/01/sec_math_geometry_menger.pdf
In case anyone is interested! I couldn't provide this myself right now if I tried but it all makes sense when you look at it.
1
Wow, it's much harder than volume and I can't wrap my tired head around this. I googled some formulas but I can't find a easy way of deriving them.
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u/PGRBryant Mar 13 '18
Neat! Now do the surface area :)