Exploration & Epiphany
A guest video about Sol LeWitt's incomplete open cubes, and the group theory behind it.
This is the fourth of five guest videos before I’m back with my own, and I have to say, I absolutely love it. Next time you have 50 minutes to spare, here is the full piece —a wonderful problem-solving saga centered around a piece of modern art and the combinatorial question underlying it.
If you don’t have the time right now, and just want to whet the appetite, here is a short preview.
Unlike the other guest videos, this one does not come from another YouTuber. Instead, it’s from a friend of mine, Paul Dancstep. He’s collaborated with me on a few projects in the last year, including the ones on holograms and cosmic distances, and I think you’ll agree he has a great eye for visual exposition and pedagogical storytelling.
For anyone curious about who he is and the process behind this piece, I recorded a short interview with him.


This was a triumph of pedagogy. Grant, you really outdid yourself here. Great, how you walked through, as patiently as you could, stepped through the thinking and the logical alternatives. This set of problems reminds me of knot theory, with a lot of hidden constraints that have to be considered. Now with computers, I believe they are up to about 24 crossovers, and possibly trillions of knots needing to be classified. I guess someone will pick up the gauntlet and strive forward to solve for Archimedean solids, and so forth. Quite the challenge here.
Great interview. A real sleeper well worth the time