Random space filling tiling of the plane
The following illustrates a technique of iteratively tiling the plane with non-overlapping shapes where, on each iteration, the position is determined randomly and the area is some decreasing function. Note that the shapes, when circles, are not added as "Soddy" circles as in Apollonian [3] space filling fractals, nor do they even need to touch at a single point of another shape [4]. If the area o
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help More links & stuff in full description below ↓↓↓ EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse The sum of all natural numbers (from 1 to infinity) produces an "astounding" result. ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk MORE: http://youtu.be/0Oazb7IWzbA NY Times article on this: http://
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