@tm-qi9cr
They will never form a square of any size except for the original one, as they clearly can’t form a smaller square and if they could form a bigger one then they would also be able to form a smaller one
@nightcaller92
I did come to the conclusion that they couldn't form the larger square, although I didn't understand that diagonal jumps would be allowed, not that it seems to have made a difference
@hps362
This was such a satisfying one to solve.
@paxaq683
A different explanation: the parity of each coordinate of each spider is invariant. But it is different for the smaller and the larger squares.
@SleepyHarryZzz
If you allow simultaneous jumps (where they jump of where the other spider is at the instant they begin the jump, then that can make a larger square (albeit rotated relative to the original, and some factor larger that I cba to calculate). This looser version works because it breaks the reversibility of each move, which is a necessary feature for the version presented
@ErsagunKuruca
Lovely proof, great visuals
@rodrigoappendino
You should have told they can move diagonally
@Anti_During
Вопрос можно иначе поставить: можно ли получить квадрат со стороной в два раза меньше ?
@jervinsevilla6677
I figured this out using a chessboard
@dekucake
You never said they could jump diagonally, or over multiple spiders.
@silascosta4750
my answer was right!! should have spent this shot in a casino :,)
@kanishksingh5146
The logic that they couldn’t have gotten from smaller square to the bigger square because they can’t go from bigger to smaller is not a good argument imo. How would you disprove the hypothesis that they can go from smaller to bigger but not from bigger to smaller.
@LitoHomol
Kinda reminds me of my math teacher
@FurryNonsense
This is wrong "They always jump the same distance and only over each other once" *Proceeds to jump across the entire map, and over two spiders*
@Arid-xp7hl
I didn't understand this video. am I stupid?
@trash_man101frfr
spider
@LocalBosnian-99
Im so intelligent 🤓
@69420lover
AHHHHHHHHHHH
@4SAKEN_XX
Am I early?
@aristotlekaporis7337