Imprecise Birds

A rainbow of birds is flying in a hyperbolic manifold. Each one flies in a straight line, and initially, they form a tight single file.
However, because of numerical precision errors, they quickly end up flying all over the place.
This is because of negative curvature: when two birds fly "parallel" with a short distance between them, new space grows exponentially between them.
0:00 The video start 20s after the start of the simulation -- you need only this much time for the birds to scatter (in the current implementation of RogueViz engine).
0:20 the same animation on a "hypersian rug" (which shows the negative curvature)
0:40 a three-dimesional version -- unfortunately it is more difficult to see what's going on here
Discuss this stuff and non-Euclidean geometry in general in the #geometry channel in the HyperRogue discord: / discord
Music: "Caribbean" by Will Savino, from the HyperRogue soundtrack (CC BY-SA 3.0)

[@ollllj]

still waiting for the competetive noneuclidean real-Time-Strategy game, where most units just get lost in space forever.

[@legendgames128]

Hyperbolic planetside 2 when?

[@user-gr1vv4pk2i]

This could actually work if spawn rate was ridiculously high. Kind of morbid too, you send out tons of units knowing 95% of them will get lost and die alone, stranded. But that's just warfare in that world.

[@roaringdragon2628]

Beautiful. I really like how the 3d version starts to look like complete chaos.

[@thebishopoldchannel76]

god i love music sync

[@blockmath_2048]

It's amazing how they go from "all together" to "chaos" in a few seconds

[@trymbruset3868]

I would love to see an implementation of boids in a hyperbolic manifold like this. I'm curious to see if the negative curvature prevents the formation of flocks or not!

[@ZenoRogue]

We have actually tried this in Nov 2018, look for "hyperbolic boids" or "birds in hyperbolic space". It should be also playable in zenorogue.itch.io/rogueviz

[@johnathanegbert9277]

I guess you could call it...
HyperBOIDs!

[@miners_haven]

Chaos videos seem to be a trend among some math youtubers now (or maybe I'm just getting a lot of recommended videos about it)
An idea for the next video could be a Mandelbrot zoom inside a hyperbolic cylinder, because moving in hyperbolic geometry looks like zooming.

[@glitchy9613]

ç

[@TomtheMagician21]

Lol the music goes so well with it

[@j.thomas1420]

Application of the chaos theory.

[@zacozacoify]

Very nice

[@scottsarchive5714]

Your vids are Amazing >>> Thank You!

[@theskinegg9168]

why is the music so good though

[@creature2322]

Still fun to watch. Looks like a nice firework.

[@einekartoffel2490]

Nice.

[@TherealLaserdog]

when the birds is weird

[@squishygreen9027]

my adhd brain likes this

[@ninjacat230]

this seems like more of a bug than a feature

[@legendgames128]

Well in hyperbolic space, being even a short distance away from someone would cause you to go farther away exponentially.

[@sperenity5883]

God bless.

[@melwugon3687]

The music is almost synced.

[@vehicleboi5598]

birds of non precision

[@chasemarangu]

You should add music to videos more often!

[@antirogue825]

are the birds ACTUALLY microscopic distances from each other, or is it just 'rounding errors' or something?

[@ZenoRogue]

No "microscopic distances" are intentionally programmed, but they appear because of rounding errors.

[@angelmonteagudo650]

Those birds ate a Mario's superstar.

[@johnathanegbert9277]

*invincible candy starts playing* wait. That's the wrong song.

[@glitchy9613]

what foolish birds