I hope the formulation was understandable. I would like to keep the mesh coming from polar coordinates in the second case and combine it with the cartesian texture from the first case. As an example, set up a grid in polar coordinates and convert the coordinates to Cartesian. WolframAlpha can also handle more complicated inputs, like r () exp (cos () 2 cos (4) + sin (. You can contour data defined in the polar coordinate system. So the only Mathematica commands you need are Abs and Arg. By clicking the dog-ear in the bottom left of the images and then Copyable plaintext, you can see the Mathematica code used to generate the plots. You can express a complex number z in polar form r(cos theta + i sin theta) where r Absz and theta Argz. If the inputs are matrices, then polarplot plots columns of rho versus columns of theta. Polar plots can be drawn in the Wolfram Language using PolarPlot r, t, tmin, tmax. Mathematica: I am working with an external number-crunching application that generates radiation patterns for antennas. polarplot(theta,rho) plots a line in polar coordinates, with theta indicating the angle in radians and rho indicating the radius value for each point.The inputs must be vectors of equal length or matrices of equal size. This code now gives the following picture (note that the only difference lies in the parametrization). We can easily extract the Mathematica code for this plot right from WolframAlpha. A plot of a function expressed in polar coordinates, with radius as a function of angle. Is there any way to use Cartesian Coordinates for the texture of the plot? Here is my code: n = 6 The above plot can also be generated with SectorChart although this plot is primarily intended to show varying width and height of the data, and isnt fine-tuned for plots where you have fixed-width sectors and you want to highlight directions and data counts in those directions. The problem for me is, that if I parametrize the plot by polar coordinates, Mathematica uses the x- and y-axis of the image as angle/modulus-axes. I want to see the images of a mesh with respect to polar coordinates in the unit circle AND I want to map a picture embedded in the unit circle as a texture for the plot. Here theta value is the angle in radians format and radius is the radius value for each point. Hourly temperatures (☏) at Washington, DC for January 10 through Decemare presented in a polar plot as radial lines or points. Please find the below syntaxes which explain the different properties of the polar plot: Ppolarplot (theta value, radius): This is used to plot the line in polar coordinates. Of course you only do that loop once in this application, but I thought it's worth pointing out for the benefit of more complex applications.I try to create a parametric plot which maps from the complex unit circle to a different region in the complex plane. In Matlab, polar plots can be plotted by using the function polarplot (). One final remark, related to your setup with BesselJZeros: instead of preparing them in a table, you may want to use the fact that BesselJZeros threads over lists! That makes the initial calculation faster than with a table. (there was an unnecessary z argument in the RegionFunction of your example) Wolfram Community forum discussion about Plot a function in polar coordinates, not PolarPlot.
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