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The most powerful tensor package suit for MMA (and arguably for any CAS) is xAct. It uses the full machinery of diff geometry (fiber bundles, connections, forms, ect) and a powerful canonicalization algorithm, both symbolically and numerically. Obviouly you can use just a fraction of this power. I am the developer of xPrint, the GUI interface to xAct. With ...


4

Actually, they are equal. Redefine s = First@Solve[pt[t] == qt[t], {a, b}] (* {a -> 1/2 (-3 Csc[t] + 3 Sec[t] - 2 Tan[t]), b -> 1/2 (3 Csc[t] + 3 Sec[t] - 2 Tan[t])} *) to eliminate the extra set of brackets. Then, for any value of t FullSimplify[(pt[t] /. s) - (qt[t] /. s)] (* {0, 0} *)


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Let me update Simon's code for Mathematica 10. We no longer need to explicitly load TetGenLink. tetrahedra = Level[MeshPrimitives[DelaunayMesh[data3D], 3], {-3}]; radius[p_] := Sqrt[Area[Circumsphere[p]]/(4 Pi)]; radii = radius /@ tetrahedra; alphashape[rmax_] := Pick[tetrahedra, radii, r_ /; r < rmax] faces[tetras_] := Flatten[ tetras /. {a_, b_, c_, ...



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