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Euclid

Two of my all time favorite books are “Measurement” by Lockheart and “The Elements of Euclid” by Byrne. Both take nontraditional approaches to exploring geometry. Part of what is magical about them is the way that they build an intuitive depth that doesn’t rely on formalism. This project came to me while trying to fall asleep one night. The code is here. The premise is (I think) much more aptly described by showing intermediate results.
A path drawn by drawing arcs on two circles that connect at a point along the segment between the two circles' centers.
More of that, but filled in and with colors.
More of that, but filled in and with colors.
More of that, but filled in and with colors.
More of that, but filled in and with colors.
More of that, but filled in and with colors.
More of that, but filled in and with colors.
More of that, but filled in and with colors.
More of that, but filled in and with colors.
More of that, but filled in and with colors.
More of that, but filled in and with colors.
This (along with CINDI) is a project I expect will continue to yield fruit for many years.
UPDATE (2023): You can now play around with many derivative algorithms (and see the many beautiful images created through them) at ABOUND.art.