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Fascinating stuff. I've often thought that the nature of hallucinations - geometric or otherwise - must have lots to tell us about the workings of the brain. From a mechanistic viewpoint all our experiences (hallucinations included) supervene on brain structure, therefore these common geometric hallucinations likely reflect some fundamental structure of the brain.

On a related note, here's an interesting article from 2015 about encrypting information so that only people who are on LSD can read it: https://qualiacomputing.com/2015/05/22/how-to-secretly-commu...

"But it's not just hallucinogenic drugs like LSD, cannabis or mescaline that conjure up these geometric structures."

The article seems to be interesting, but this start turned me off a bit, as it is wrong. Cannabis is not hallucinogenic. When you get hallucinations from cannabis, then you might have a problem called psychosis...