I would like to add an enhancement to sympy.vectors. We can have default
functions for parametric representations of some basic surfaces like
cylinders, spheres, cones etc.
Something like
>>> cylinder1 = cylinder(Symbol('u'), Symbol('v'), Symbol('a'))
>>> pprint(cylinder1)
>>> (a⋅cos(u)) N_i + (a⋅sin(u)) N_j + (v) N_k
Any opinions or thoughts about it?
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