Folding Curves Robert Geretschläger Graz, Austria presented at 4OSME Pasadena, CA Sep.9th, 2006
Folding Curves Robert Geretschläger f(u)=(1/π)cos πu
Folding Curves Robert Geretschläger from Computational Line Geometry H. Pottman and J. Wallner, Springer Verlag, 2001 κg = κcos α ρ = ρplane cos α
Folding Curves Robert Geretschläger p=0.8 f(u)=pcos πu p = 0.5
Folding Curves Robert Geretschläger f(u) = 0.5 - 2u²
Folding Curves Robert Geretschläger curve c=P(u) on developable surface tangent plane in P(u) is given as with generator in P(u) has direction (g‘(u)h(u)-g(u)h‘(u), h‘(u)f(u)-h(u)f‘(u), f‘(u)g(u)-f(u)g‘(u))
Folding Curves Robert Geretschläger
Folding Curves Robert Geretschläger
Folding Curves Robert Geretschläger
Folding Curves Robert Geretschläger
Folding Curves Robert Geretschläger
Folding Curves Robert Geretschläger THANX 4 U-R A-10-TION! robert.geretschlaeger@brgkepler.at http://geretschlaeger.brgkepler.at