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TripD
03-04-2012, 06:14 PM
Made a trip to Barne's and Nobles for coffee and some reading. Stumbled upon a book about Euler and found some interesting formulae. Any of you guru's of the lscript ever have use for them in your coding?

V - E + F = 2: Normal polydedra

fun stuff ;)

probiner
03-04-2012, 06:41 PM
I got a new one going on ;)

(Genus*8) - 8 = Grid Value of the mesh

Soon =P

TripD
03-05-2012, 12:58 AM
I have no idea what that is, but it looks nifty :thumbsup:

probiner
03-05-2012, 04:17 AM
Well, Euler' characteristic is like:

V - E + F = (Genus*-2)+2

since a cube is V - E + F = 2 (genus 0)
but a torus is V - E + F = 0 (genus 1)
and a T shape pipe is V - E + F = -2 (genus 2)

https://en.wikipedia.org/wiki/Euler_characteristic#Relations_to_other_invariants