Riddle: jumping spiders in a square

A riddle about 4 jumping spiders arranged in a square.

[aristotlekaporis]

Have you considered if they just believed in themselves hard enough

[tm-qicr]

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

[hps]

This was such a satisfying one to solve.

[paxaq]

A different explanation: the parity of each coordinate of each spider is invariant. But it is different for the smaller and the larger squares.

[nightcaller]

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

[dekucake]

You never said they could jump diagonally, or over multiple spiders.

[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 ?

[silascosta]

my answer was right!! should have spent this shot in a casino :, )

[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-xphl]

I didn't understand this video. am I stupid?