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generative modeling for Rhino

giancarlo tonoli
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## giancarlo tonoli's Discussions

### geodesic! I have a doubt...10 Replies

Hi,If the mathematical definition of a geodesic curve is: the shortest path between two points on a surface, why the geodesic component returns a curve like this? that's a longer curve compared with…Continue

Started this discussion. Last reply by giancarlo tonoli Oct 20, 2011.

# giancarlo tonoli's Page

## Latest Activity

giancarlo tonoli is now a member of Grasshopper
May 9
"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
"Create a mesh for your surface and try Giulio's Shortest Walk routine."
Oct 19, 2011
""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
"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
"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
"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

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