Apropos 1+2+3+4+5+...=<img src="http://latex.codecogs.com/gif.latex?-\frac{1}{12}" title="-\frac{1}{12}" />: Mapping Infinity in Light of the Number Circle (or Cycle), in L. Euler’s Footsteps and with the Aid of Two Dimensional Infinite Series, and Replacing Negative Infinity and Positive Infinity with Just Infinity

Abstract

The number circle-that is, the notion that the largest possible positive numbers are followed by infinity and then by the smallest possible negative numbers-is not new.