8 ms·
There are many ways to arrive at Pi which themselves are quite divorced from "a circle", since you could arrive at the conclusion in a one dimensional Universe.
by ccvannorman 10y ago
There are many ways to arrive at Pi which themselves are quite divorced from "a circle", since you could arrive at the conclusion in a one dimensional Universe.
It's true that if you were to graph these equations you would see circles, but that is besides the point - a one dimensional being wouldn't be able to understand your graph, but could still read you the digits of pi.
http://www.geom.uiuc.edu/~huberty/math5337/groupe/expresspi.html http://www.geom.uiuc.edu/~huberty/math5337/groupe/expresspi....
- sp332 10y agoThe first one there is derived from a definition of a circle: x^2 + y^2 = c. Most of the rest use an arctangent. Only the last one is not obviously related to a circle. We are in 3 dimensions but we use higher dimensional math all the time, so I don't know why a 1D creature would be so constrained.