17 Chained 45 strafes - Minecraft's most precise jump

Описание: Featuring laggy clips, no bgm and ugly text- because i'm lazy to edit something, i might do it when i find 18.

Precision here is 2.4E-12. A month ago, no one believed we could ever go beyond E-8, but here it is, the 17 chained 45.

As many players are still confused because they think there is a "cap", here's something to clear things up.

Mathematically speaking, it should never cap; there is however a limit we can calculate. Unfortunately numbers can't be infinitely precise, because they would need infinite space to be stored in (we don't have that sadly).

However in minecraft, your position is a double floating point number and will have a maximum precision of about E-16. At some point, it becomes exactly the same to do n strafes or 1 jump and n-1 strafes. Knowing this, the ""limit"" turns out to be 21. So 4 more to go.

As for why I used water:
1. It looks cool
2. It showcases how we can actually make 4 times more jumps than what we would guess at first glance:
Normal jump: px + 0
Ladder catch: px + 0.05
Walled landing: px + 0.0375
Water/lava landing: px + 0.001

This notably speeds up the jump-finding process.