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Aug 5, 2019 at 4:19 comment added user44143 Perhaps: If the random walk goes from $x$ to $y$, then dilate the walk by a factor of $b$ in that direction to get the right distance between endpoints, and dilate by a factor of $c$ in the perpendicular direction to maintain the right total arclength. I doubt that’s what you had in mind, but it might work.
Aug 4, 2019 at 14:15 comment added user44143 Can you clarify the construction? For generating a curve of length 1 connecting endpoints at distance 1/2, you take (e.g.) 1000 random steps each of length 1/1000 and....what comes next?
Feb 21, 2019 at 21:41 comment added Joseph O'Rourke @koryakinp: I just generated a random walk, unit step length, and then used Mathematica's Spline[pts,Cubic] function.
Feb 21, 2019 at 21:37 comment added koryakinp DId you generate it by urself ? If so, can you please provide a script. Thank you.
Apr 26, 2017 at 11:51 history answered Joseph O'Rourke CC BY-SA 3.0