Congrats on the release!
Congrats on the release!
Collapsible compass is not a choice of Euclidea, but a choice of Euclid. (Although, of course, one of the first things Euclid proves is that you can simulate a rigid compass with a collapsible compass: https://en.wikipedia.org/wiki/Compass_equivalence_theorem.)
I've been trying to draw Islamic designs, and the strict methods are very involved. For example this shows a very simple design, with construction lines then the final pattern:
I personally prefer the satisfaction of finding the solutions myself, even if it sometimes takes me months to solve a given puzzle (I usually end up putting it on hold for weeks and then revisiting with a fresh perspective).
Over the years, I amassed 430/535 stars, not bad but still quite some stars to go.
I always wondered how they came up with the minimal constructions and if they ever got them wrong?
I definitely had these questions about euclidea.
I like their other games as well, Pythagorea and x section.
https://math.stackexchange.com/users/11955/ed-pegg
but yes, I suspect that when you get very familiar with the mechanics of the game, solutions become obvious. Or they construct 'backwards' from the solution to a problem, maybe.
I liked how it incentivizes finding efficient constructions, which made it competitive with friends.
I learned a lot from the game.