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This is really awesome, I love it.

I wonder whether we could procedurally generate novel writing systems that are maximally information-dense while still being legible.

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Huffman-code the input alphabet into glyphs such that the length of coding takes advantage of the normal complexity/size correlation, improving density. For legibility, (a) choose features that are topologically robust to handwriting noise, and (b) it may be worth using redundancy, allowing single-feature correction at the cost of losing parts of the glyph constellation but with the benefit of allowing smaller glyphs.

The latin alphabet can probably be improved, as it clearly has insufficient redundancy in some areas:

https://vistapointe.net/images/minimum-2.jpg

and too much in others:

https://www.google.com/search?q=ambigrams&tbm=isch

(optimising for speed over space leads to https://en.wikipedia.org/wiki/Shorthand )

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