Pi being irrational.

Beautiful visualization. Isn't it also fascinating, the arcs NEVER overlap, and they ALWAYS intersect at the center.

Pi’s irrationality is not disorder, it’s a deeper order. What never repeats still obeys precise laws, filling space without ever closing in on itself. Mathematics shows us that creation doesn’t rely on simple loops, but on infinite harmony without redundancy. Some truths are designed not to end, but to remain inexhaustible.

That is a fantastic visual!

Didn’t we do this for hours as kids ? Lol I also did it to celebrate with my music students !

You made a digital Spirograph.

Nothing to do with irrational. Chaos equations

"This is a line that never ends... Yes it goes on and on my friends..."

Circles don't exist, change my mind.

I was so invested

Would the moving point ultimately pass through every single point on the surface of that sphere if the system continued for long enough? Is this provable and would it potentially require infinite time to do so?

The only irrational thing about Pi is how is never enough of it.

The “irrational” esiste only in your punched imaginary! The Pi isn’t concerned with your animations! What you ,fortunately, see is just the unfolding of Universal Law that have no beginning or end !

Well, it's pretty - but does not PROVE irrationality. It could be just a very VERY large ratio approximating Pi. :-) (btw "Ratio" means a quotient of two integers - hence "The Golden Ratio" is actually an incorrect term)

the universe is also irrational

Doesn't seem irrational to me, seems beautiful!

And that's only two dimensional. Try it in 3-D

Irrational and mesmerizing 🥰

I like how the video zooms in at 22/7 before speeding up, then again at 355/113 at the end

Feels like I smoked 5Meo DMT again..

@grok how does this show pi is irrational?

Yes π is irrational. Its decimal never ends or repeats, because no fraction can exactly represent the ratio of a circle’s circumference to its diameter.

『πが無理数であること』なるほど～ #スピログラフ #spirograph は歯車の組み合わせが整数比で #有理数 だから始点に戻るけど、#π は #無理数 だから始点に戻らない。アニメーションのスピードがゆっくりになったとこ！「・・・お～っと、おしい💧」と、ついつい見入ってしまった😅

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wow excellent musical accompaniment

Just round it down to 3. It'll do.