Evaluating the exact infinitesimal values of area of Sierpinski's carpet and volume of Menger's sponge — mentioned by mcherm

Mon, 19 Mar 2012 14:32:42 GMT

This article in Technology Review shows a disturbing lack of comprehension of how math works. It is not worth reading. As for the article itself[1], Wikipedia claims[2] that Fractal dimension has been studied since 1975 and Cantor's transfinite numbers[3] since the late 1800's. Perhaps someone else can find insights in this paper, but my own impression is that the authors have not advanced the field, but rather have failed to understand the basics of the field. [1] http://arxiv.org/pdf/1203.3150v1.pdf [2] http://en.wikipedia.org/wiki/Fractal_dimension [3]…

Paper and discussion history. A mention is not an endorsement.

Evaluating the exact infinitesimal values of area of Sierpinski's carpet and volume of Menger's sponge · HackerPapers discussions

Evaluating the exact infinitesimal values of area of Sierpinski's carpet and volume of Menger's sponge — mentioned by mcherm