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(I bought Paul Lockhart's "measurements" but gave up because I felt like I needed a sandbox to play with and little hints. Like, I don't want to be told the answer but I want to know feedback exactly like this demo. Very simple: "this is not right" or "this is right, but can be done with fewer")
(My dream is to have a little game jam where we make interactive versions of these concepts as puzzle)
Just FYI the “map of the UK” includes the Republic of Ireland, which is very much not part of the UK. There’s not a 100% great term for the collective unit of land. Generally people go with “UK & Ireland” if they’re trying to be sensitive.
Thanks for pointing this out! Switched to "British Isles" -- update should be percolating now
As a suggestion, I would dearly enjoy a follow-up rigorously connecting those visual, intuitive ideas to actual mathematics.
The final though seemed like a huge leap for me, who don’t know anything about those math mysteries (which I assume is your target audience).
First I was curious to learn how is the fast way to understand that 1, 2, or 4 colors suffice. And why finding out such a way for 3 is so hard.
The zero-knowledge proof demonstration felt like “changing the subject”. Probably I missed the connection there.
Just FYI the “map of the UK” includes the Republic of Ireland, which is very much not part of the UK. There’s not a 100% great term for the collective unit of land. Generally people go with “UK & Ireland” if they’re trying to be sensitive.
'British Isles' identify the geographic islands.
It feels like something that got detached from the things that make it work during simplification. Or it could be that I just have a misunderstanding/oversight in the zero knowledge proof :).
In an unrelated note: I colored the larger graph and it didn't even play along!
That was fun. On another note, I dislike how “Zero-Knowledge Proofs” are called proofs. It’s not a proof. You iteratively increase your belief that the result is true, like in experimentation, but that’s not a proof.
I guess you also don't like the name Proof of Work.