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A reference article on Map Projections contains the following figure:

I think the images are created using Geocart, listed in Additional Resources section. I'm interested in trying to create visualizations like this--particularly the areal distortion and angular distortion visualizations--using open source tools. Either desktop GIS or code (Python, R, etc.) would be helpful.

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    You could use the coordinate system and open source GIS tags together to come up with some candidates to test. Asking the community to come up with a list of candidates for you is what makes this too broad. Once you are testing a candidate and get stuck you will have a question suitable for focused Q&A. – PolyGeo Apr 11 '19 at 20:01