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Mathematics of classical mechanics, including Hamiltonian mechanics, Lagrangian mechanics, applications of symplectic geometry to mechanics, deterministic chaos, resonance etc.
5
votes
To what extent does trajectory determine gravity sources?
For a bounded trajectory, then one can imagine placing the entire region inside a uniform spherical shell, which has no net gravitational effect on what happens inside (see wikipedia, also hyperphysic …
16
votes
Accepted
Is there a sideways-walking rolling convex body?
The answer is yes, and you can play with them at MoMath. Specifically, the Twist and Roll exhibit has several convex shapes, which will roll arbitrarily far sideways when started at an angle that is n …
11
votes
Does there exist a shot in ideal pocket billiards?
This isn't the answer you seek, but let me observe merely
that if you allow extra balls and if the table width is an
integer number of balls in each direction, then we may
imagine a cross pattern with …
4
votes
The rain hull and the rain ridge
Since you've explicitly welcomed half-baked ideas...
Regarding question 1, can't we just simulate the rain in polynomial time?
I am thinking of the same-connected-component problem in graph theory. …