Saturday, June 18, 2016

[ontfqsow] Find the geodesic

A player races through a manifold, seeking the shortest path.  Unlike most racing games, speed does not matter.  Animation could depict where other past racers were for your current distance.

Perhaps race through a tube of varying curvature and width.  The racecar travels "in a straight line" if given no input, though that might be a tricky concept on curved manifolds.

Even finding the shortest path between two points on the surface of a cube is nontrivial.

Perhaps different skill classes for corresponding to the minimum speed permitted.  Higher minimum speed is harder.

2D and 3D manifolds.

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