Monday, 12 January 2015

dg.differential geometry - Walking around Santa Cruz, track around the soccer field

This may be enough to get you started.



In building a model railroad track, to make a complete circle, I need 12 curved pieces.
Assuming I want a more elaborate layout, but want to keep things on the same level and
allow no branches or crossovers ( i.e. I have only straight and curved pieces and no
risers to lift track off my flat building surface), I need many curved pieces. If
I start at one place, go counterclockwise around the track, and count pieces that
curve left and pieces that curve right, I get 12 more pieces that curve left than curve
right after I complete one loop and return to my starting place.



Is your scenario similar to building railroad track?



Gerhard "Ask Me About System Design" Paseman, 2010.08.15

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