Hyperbolic Tessellation Generator … M. C. Escher might have loved this!


I recently found this post on Facebook:

FaceBook post: Hyperbolic tesselations made with Python code generated by Gemini 3
FaceBook post: Hyperbolic tesselations made with Python code generated by Gemini 3

It immediately reminded me of some similar images that inspired me decades ago by M.C. Escher, such as “Circle Limit I‘ (a woodcut dated November 1958) and this image from a post earlier this year:

Fellow geometer, David Joyner, recently suggested exploring Python and Blender to make more accurate geometric images with AI and/or automation tools, so that may be my next dive into geometric experimentation, dusting off my decades-neglected programming skills; various projects and dabblings with FORTRAN, Pascal, BASIC, C, HyperTalk, Lingo, HTML, CSS, PHP, JavaScript, POVRay, MegaPOV, and a few others.

Meanwhile, to whet my interest, I googled and easily found what appears to be the source code for the first image. My to-do list now has an attempt to replicate these geometric hyperbolic tessellations and try a few of my own using this resource on GitHub. It appears that I may need to complete some preliminary Python tutorials first; I’ll try using the W3Schools Python tutorial. If you have other resources you would recommend, contact me.

Here are a couple of examples from the GitHub source page:

We will be happy to hear your thoughts

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