This is actually the sandwich problem, which states there is exactly one slice that will split a sandwich of 3 elements into exactly 2 halves regardless of the shape or position of those elements. We don’t need the full proof, but the problem is continuous, so any desired ratio is possible, therefore you will always be able to slice an apple into exactly 1/3 and 2/3rds “good bits”, so a single slice will always be able to do the job.

It’s been added to OEIS already https://oeis.org/A268236

It is, can tell just by looking at it it’s a Rubik’s brand.

For various math reasons you only get consistent systems with 2^n dimensions, so after complex you get quaternions with 4, then the next one that works is 8, then 16, etc. They become less useful because you lose various useful features, like you lose commutabiliy with quaternions (eg ab != ba), and every time you double you lose more things.

Somehow people always forget that Ubisoft published Trackmania (2020). (Limited) F2p, one time purchase for Standard access, yearly sub for club access, which is isn’t even worth it if your not a dedicated player.

Thus the kingkiller chronicle was born.