Is there a reason why a decagon is chosen as the initial geometry or is it arbitrary? If it's arbitrary, is there a shape that is more optimal for initial geometry?
Stafftancik
@gowenong It is pretty arbitrary. A common shape to use is a sphere in 3D (circle in 2D which is shown here). People have explored data dependent initial geometries.
ananthmrao
Is there a formula for the expected number of steps to get within a factor of epsilon between an initial geometry and target geometry?
haodi-zou
For the shape of the initial geometry, are there any trade-offs when we increase or decrease the number of edges of it?
Is there a reason why a decagon is chosen as the initial geometry or is it arbitrary? If it's arbitrary, is there a shape that is more optimal for initial geometry?
@gowenong It is pretty arbitrary. A common shape to use is a sphere in 3D (circle in 2D which is shown here). People have explored data dependent initial geometries.
Is there a formula for the expected number of steps to get within a factor of epsilon between an initial geometry and target geometry?
For the shape of the initial geometry, are there any trade-offs when we increase or decrease the number of edges of it?