Hm. That 16% difference reminds me of the 60% point Miles Mathis makes in his infamous 'pi'='4' [single quotes INTENTIONAL.] paper (which ISN'T what people think. Numerous people tried to debunk it and I would absolutely LOVE to see a proper debunking of it, but each 'debunker' actually only skimmed his writing, or only read one of his papers on it instead of all of them, and constructed bad counter arguments as a consequence.)
http://milesmathis.com/pi.html http://milesmathis.com/pi2.html http://milesmathis.com/pi3.html https://sagacityssentinel.wordpress.com/ (the debunk reply there is from 2011 and doesn't factor in the fact that Mathis indeed didn't realized the rather obvious link to the Hilbert/Taxicab metric until 2012, see the pi2.html page there.)
Re:Steinhaus Longimeter
by mannykannot on Saturday March 24, 2018 @11:13AM
(#16666977)
The short version has a simple but fundamental error in the use of limits, and so as long as the author claims that this contains the essence of his argument, there seems little point in wading through the full work, especially as it is written in an extremely discursive manner, to put it charitably.
To do a real test, you could print out a curve with a mathematically calculated length, say a sine curve, then measure with both methods (and other methods like placing a string on top) to find out what works best in practice.