I was waiting for the new spaghetti cowboys to arrive. Good luck guys, but keep in mind that a 1000 cores can do a lot more damage than 3 people can fix.
Can someone explain what d(3)=(|x|^3+|y|^3)^(1/3) would actually mean as the blog seems to suggest something more profound than the below?
If d=|x|+abs|y} is moving in 2 dimensions, one dimension at a time and d(2)=(x^2+y^2)^(1/2) is moving in 2 dimensions at the same time, d(3)=(|x|^3+|y|^3)^(1/3) would have to mean moving 3 dimensions at once in two dimensional space (as it is missing the 3th position z) and for all n moving n dimensions at once in two dimensional space.
Now pi comes down to the constant calculating circumference. The blog shows we can approximate it best ignoring all other dimensions but those two in two dimensional space. Seems obvious, but that has everything to do with the nature of pi, not with the math.
d=(|x|^3+|y|^3+|z|^3)^(1/3) would approximate pi better in 3 dimensional space than in any other, etc.