Thursday, March 26, 2015

hereeeeee's the sausage!

i keep drawing "existence/sausages." sometimes you laugh, "there, crazy triff goes again."

well, i have a surprise for you:

here is a fractal curve: 


the number of segments after the nth iteration of the evolving figure is:



and the length of each segment is given by:


the capacity dimension is: 

 approx 1.36521

(Mandelbrot 1983, p. 48).

what are you looking at?

a minkowski sausage! also referred to as the minkowski cover of a curve.

so, next time you see me drawing an "existence/ sausage" on the board to make a point, you know i can back it up.   

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