131k views

Where can I find examples of good Mathematica programming practice?

I consider myself a pretty good Mathematica programmer, but I'm always looking out for ways to either improve my way of doing things in Mathematica, or to see if there's something nifty that I haven't ...
8k views

How can this image (optical illusion) be created with Mathematica?

I came across this image the other day: and liked the sensation of it pulsing. I was wondering if anyone would know how to create something similar with Mathematica (without the Pink Floyd Dark Side ...
3k views

How do I draw a Circular Graph colored like this in Mathematica?

I must plot some data in radians and would like to use this image as a background to that graph. Although it looks good, the lines are degraded in image form; thus, the reason for this question. Can ...
12k views

How can I plot the complex graph of $x^x$ in Mathematica?

For example, this Wolfram Alpha query shows this graph: But it does not show the code for plotting it in Mathematica. Plot[x^x, {x, -1, 1}] only plots the real ...
2k views

Domain Coloring

My next project I'd like to start working on is Domain Coloring. I am aware of the beautiful discussion at: How can I generate this "domain coloring" plot? And I am studying it. However, a ...
639 views

Implementing a compilable Faddeeva function of complex argument

For those, who are looking at Halirutan's answer and thinking "gee, I wish I was that good at LibraryLink, then I could really speed up my code!" I leave here the ...
1k views

Fractal basins of attraction in a Magnetic Pendulum

I am trying to write a Mathematica program that realizes a graphical approximation of the basins of attraction in a Magnetic pendulum subject to friction and gravity, in which the three magnets are ...
1k views

Making an application based on user input

I purchased Mathematica a few days ago, and although I am a mathematician, my programming and Mathematica knowledge is close to zero. So please help and point me to some resources for the following ...
2k views

Visualizing the Riemann zeta function

How to visualize in a nice geometric way (e.g., like in this YT video) the Riemann zeta function, $\zeta (z)$?
2k views

Draw the image of a complex region

I'm working on a complex question that asks that I determine a function that maps the complement of the region $D=\{z:|z+1|\le 1\}\cup\{z: |z-1|\le 1\}$ onto the upper half plane. That is, $f$ must ...
457 views

How to create a checkerboard pattern?

I would like to write a generalized function to create a checkerboard pattern of any size (width of each square and frequency of repetition). How can I do so? Edit 1 This is what I tried. ...
187 views

ContourPlot code that worked in 9 does not work in Mathematica 10

I updated to Mathematica 10 from Mathematica 9. I am trying to create contour plots. I have a saved file with some output that I made using Mathematica 9, with the following equation ...
533 views

How to draw the plot of a function in the complex plane? [duplicate]

I'm new to Mathematica, and I was wondering how to plot $x^n$ in the complex plane. Is there a dedicated function for this purpose?
305 views

ColorFunction -> Hue not respected?

I am encountering a bizarre problem. I'm trying to generate the complex phase plot of the (principal branch of) the square root function by using DensityPlot on ...