version 10 - Implementing AnglePath in Mathematica 10.0

Does anyone have an implementation for AnglePath (see AnglePath Documentation and example usage) in Mathematica 10.0?

Answer

For the first usage, with an input list t of angles, I used:

anglePath[t_?VectorQ] := 
   With[{a = Accumulate[t]}, 
        Join[{{0., 0.}}, Accumulate[Transpose[{Cos[a], Sin[a]}]]]]

For the second usage, with an input matrix of {r,t} pairs, I used:

anglePath[t_?MatrixQ] :=
   With[{a = Accumulate[t[[All, 2]]]}, 
        Join[{{0., 0.}},
             Accumulate[t[[All, 1]]*Transpose[{Cos[a], Sin[a]}]]]
   ]

Borrowing from the blog post:

Graphics[
  {Thick,
   MapIndexed[{ColorData["SandyTerrain", First[#2]/110], Line[#]} &, 
      Partition[anglePath[Table[{r,119.4*Degree},{r,0,1.1,0.01}]],
                2, 1]]},
   Background -> Black]

angle path graphic

Comments

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