7 Factorial #2

I've been fascinated with the idea of using the Computer to visually enumerate all possible states in a system. Typically, a long-form art collection has 100s of mints, chosen from billions of billions of possible outputs. However, it is totally possible and (in my opinion) fascinating to explore much more constrained systems, ones where we can express and appreciate each item of the enumeration in the context of all possible outputs.

This series, "7 Factorial", represents one of the simplest possible enumerations, namely all of the ways to permute (order) a set of items. The permutations are drawn as sorting networks, visualizing each permutation as the displacement of its constituent elements. With 7 items, there are 5040 possible permutations. Yet despite such a simple formulation, the range of outputs is both surprising and beautiful.

In celebration of this minimal, structured, yet spontaneously-arising diversity of forms, each of the 19 mints available in “7 Factorial” will be a randomly chosen permutation of 5040. To properly appreciate the full parameter space, and contextualize each of the 19 chosen mints within it, each minter will later be airdropped the full 5040 permutations with the 19 “realized” editions highlighted.