AnglePath

AnglePath[{θ1, θ2, θ3, ...}] gives the list of 2D coordinates corresponding to a path that starts at {0,0}, then takes a series of steps of unit length at successive relative angles θi.

AnglePath[{{r1, θ1}, {r2, θ2}, ...}] takes successive steps of lengths ri.

AnglePath[θ0, {step1, step2, ...}] starts at angle θ0 with respect to the x axis.

Examples

Create a simple angle path:

AnglePath[{0, Pi/4, Pi/4, Pi/4}]

Plot the path:

Graphics[Line[AnglePath[Table[Pi/6, 12]]]]

Please visit the official Wolfram Language Reference for more details.