NeoTar

37 ms·

1. 481.▲
   by NeoTar 5y ago

   There is at least one way to tile 3D space using two different nets - The Math overflow answer which provides tilings for all possible nets ( https://mathoverflow.net/questions/199097/which-unfoldings-o... ) gives t
2. 482.▲
   by NeoTar 5y ago

   It appears that someone has posted this as a MO question: https://mathoverflow.net/questions/392890/which-unfoldings-o... As of yet (17.05.2021) there is not an accepted answer.
3. 483.▲
   by NeoTar 5y ago

   They do! I haven't been able to find a good diagram of it in a few minutes of searching, but there is a video at: https://etudes.ru/etudes/cubic-parquet/ I can imagine it might be a fun task for a school math
4. 484.▲
   by NeoTar 5y ago

   Yes; I wonder if the same result applies in even higher dimensions? Do all nets of the 5-cube tile 4-space, etc. There is a proof on WHUTS that all 261 nets of the 4-cube can, but is a proof by exhaustion (i.e. try every net in an automated