raaed
parano1a.bsky.social
raaed
@parano1a.bsky.social
computer science student, interested in math and physics (broad, theoretical), politics (for fun or out of necessity where applicable) and the arts.
this account was created primarily to engage academic interests
i believe the odds are exactly 1/2, and whether or not the surface can be tiled depends on how the coordinate squares are removed. (hypothesis) if two squares are removed in such a manner that there remains a full edge of the board, then it can be tiled.
June 13, 2024 at 10:34 PM
i’m not sure the right way to explain it, but the missing squares being on the same row or column mean that the other row/co has the space needed to tile it, but this example is a fundamentally different state than the one in your original environment
June 13, 2024 at 12:40 AM
attempting to solve this problem felt like the konigsberg bridge problem upon resolution

no, no matter how you arrange the dominoes, the removal of the two pieces at the corner means you have two odd elements in each row, meaning it is impossible to fit #31
June 12, 2024 at 12:27 AM