More images from an oddball coordinate system

Three months ago I posted some images created by graphing equations in circular coordinates. Not polar coordinates as you might expect, but a strange coordinate system based on circles in another way. The most interesting thing about this coordinate system is that familiar functions product unfamiliar graphs.

This morning I played around with the code from that earlier post and made some new images.

The following image was based on exp(x+7)/10 + 10*tan(x/5).

This image was based on the same function over a different range.

And this hummingbird-line images was based on exp(x) – x.

Here are a few more blog posts that have interesting images.

• Mystery curve
• Fractal-like phase plots
• At the next prime, turn right
• Newton’s method spirals