Hi has somebody experience with the Archimedean Spiral? In general it is quite simple to create an Archimedean Spiral by e.g. a line function. I rather want to create a spiral with equidistant points. The amount of the “sampling” points should be adjustable. I saw some examples, but I could not …

How about simply PolarPlot[t, {t, 0, 20 Pi}]? It uses adaptive sampling to give you a high quality output. Or are the specific sampling points important to you?

[ew32asdfrterwt3trgew.gif] Something like that? There is a built in sampling option that produces equidistant mesh points in 2D and 3D plots. The options is: MeshFunctions->{"ArcLength"} This is code you can hopefully start from (for animation above): Manipulate[ ParametricPlot[ {u Sin[u],u C…

MeshFunctions->{"ArcLength"} Vey nice! Is this documented?

I am actually not sure, I simply knew it :wink:

There’s the MeshFunction setting "ArcLength: ParametricPlot[{x1[t, 0], y1[t, 0]}, {t, 0, K*2 \[Pi]}, PlotStyle -> None, Mesh -> K*Sample - 2, MeshFunctions -> {"ArcLength"}, MeshStyle -> Blue, Epilog -> {Blue, Point[{x1[#, 0], y1[#, 0]} & /@ {0, K*2 Pi}]}] Note that K is used internally by M…

Vitaliy, Oops, when I started my answer, yours had not appeared. I got drawn away by a hurricane-related problem for a few hours, and when I returned to finish my post, I thought there was just Szabolcs’ answer. (I had left the old page up with a half-finished answer.)

This MeshFunctions specification is mentioned here (along with "CurveLength"): [image] Computing arch length of a spline curve Questions I have a project where I need to color spline curves according to their arch length. How can I find spline arch length…

Hi, many thanks for your replies!! The “Arclength” function is really very interesting. But I have not yet reached my target, unfortunately. I need beside the plot also each x and y value of the specific points (here the content of my “dataflat1”) for my further calculation. That’s why I have sta…

The function f = nInvArcLength[param, {t, a, b}] returns a function f (an InterpolatingFunction) that computes the value of t = f[s] for a point that is a given arclength distance s along the parametrization param from the initial point at t == a. (This function works for parametrizations of curves…

[?] Plot an Archimedean Spiral with equidistant points?

Questions

szhorvat (Szabolcs Horvát) September 12, 2017, 9:03am 9

This MeshFunctions specification is mentioned here (along with "CurveLength"):

It would be nice to add this to the documentation.

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[?] Plot an Archimedean Spiral with equidistant points?

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