giancarlo tonoli's Page

giancarlo tonoli is now a member of Grasshopper

May 9

Welcome Them!

Chris Tietjen replied to giancarlo tonoli's discussion geodesic! I have a doubt...

"Here's a link that might help. http://www.rdrop.com/~half/Creations/Puzzles/cone.geodesics/index.html The circle on the cone in your definition is not a geodesic as a circle will not unroll into a straight line but rather an arc or on a cone of…"

Oct 19, 2011

Danny Boyes replied to giancarlo tonoli's discussion geodesic! I have a doubt...

"Create a mesh for your surface and try Giulio's Shortest Walk routine."

Oct 19, 2011

Chris Tietjen replied to giancarlo tonoli's discussion geodesic! I have a doubt...

""Although defining a geodesic as the shortest arc between two points on a surface gives the main idea of a geodesic, there is a problem with it as a definition. Not every geodesic is a shortest path in the large, as can be seen by noting that…"

Oct 13, 2011

Daniel Piker replied to giancarlo tonoli's discussion geodesic! I have a doubt...

"Hi Chris, The distinction between locally shortest and globally shortest paths is not limited to closed surfaces. As an example : Here the red path is clearly shorter, but the blue path is the geodesic - because if you unrolled the surface it would…"

Oct 13, 2011

Chris Tietjen replied to giancarlo tonoli's discussion geodesic! I have a doubt...

"Hi Daniel, I think that your response is addressing the issue of a geodesic on a closed surface. Giancarlo's example is an open surface so it won't have a closed curve for a geodesic at any time. I wonder if his surface has…"

Oct 13, 2011

Daniel Piker replied to giancarlo tonoli's discussion geodesic! I have a doubt...

"A geodesic is not actually defined as the shortest path between two points on a surface - it is only locally the shortest. So for any 2 points close together on the path it is the shortest route between them, but the whole path may not be the…"

Oct 13, 2011