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107,846 views • 9 months ago •via X (Twitter)

36 Comments

We Live to Serve's profile picture
We Live to Serve9 months ago

@colbyserpa behold the next 5-7 minutes of your life 👇

Kate Spelman, R.N.'s profile picture
Kate Spelman, R.N.9 months ago

That is wild and beautiful! Can you provide a brief explanation of the equation for non-mathematicians out here like myself? Thank you.

Brian Roemmele's profile picture
Brian Roemmele9 months ago

Kate, thank you! The equation, like F(n, t) = sin(0.1 * n * sin(85.333 * t)), is a mathematical formula used to create animated visual patterns, such as spirals or flower-like shapes (similar to polar rose curves). Here's a simple step-by-step breakdown of what it does: 1. Basic Building Block - Sine Function: Sine (sin) is a wave-making math tool. It takes an input (like an angle) and outputs a value between -1 and 1, creating smooth up-and-down oscillations. Think of it like a heartbeat monitor line—repeating waves. 2. Nesting Sines: The formula nests one sine inside another. The inner sin(85.333 * t) creates a fast-oscillating wave based on time (t), which changes over time to animate the pattern. This inner wave's output becomes part of the input for the outer sine, making the overall result more complex and wiggly. 3. Role of 'n': This is like a multiplier for detail. For different values of n (e.g., 1, 2, 3...), it scales the inner wave's effect, controlling how many "petals" or loops appear in the pattern. Higher n means more complexity, like adding more arms to a spiral. 4. Time (t) for Animation: As t increases (like frames in a video), the inner sine changes rapidly (85.333 is just a speed constant), causing the whole thing to evolve and move, creating hypnotic, swirling visuals. 5. Polar Coordinates: This output F(n, t) is often used as the radius in a polar plot (where points are defined by angle and distance from center). For each angle (based on n or other vars), the radius wobbles due to the sines, forming shapes that look like fractals, ferns, or galaxies. In short, it turns simple waves into evolving, nature-inspired art by layering math waves and animating them over time. No code needed to try it, just plug into a tool like Desmos or Python's matplotlib for visuals.

Kate Spelman, R.N.'s profile picture
Kate Spelman, R.N.8 months ago

Thank you!

EsoRosae's profile picture
EsoRosae9 months ago

We call that sacred geometry or the “mind of god”.

𝐞𝐜𝐤𝐦𝐚𝐲𝐫.𝐭𝐞𝐳 /.𝐞𝐭𝐡's profile picture
𝐞𝐜𝐤𝐦𝐚𝐲𝐫.𝐭𝐞𝐳 /.𝐞𝐭𝐡9 months ago

It is, and it is also the reason we assume the world operates according to a logical structure. We use mathematics as one of the primary mediums for describing reality and consistently prioritize it because it allows us to automate processes in the world through technology. It is both a powerful tool for organizing and automating our way of being in the world, and a veil that obscures the raw, lived experience that our object-oriented worldview often dismisses.

Laurent Hh's profile picture
Laurent Hh9 months ago

Laurent Hh on X: "Hopf + Julia = Eternal love #mathematics #Physics @Shadertoy / X

@UnseenNorth's profile picture
@UnseenNorth9 months ago

Math is Divine.

Mentis 🇦🇺's profile picture
Mentis 🇦🇺9 months ago

The math is the only part of the stack that never actually breaks.

Lady White Eagle's profile picture
Lady White Eagle9 months ago

Math is a student of #nature 🌱

Individuator's profile picture
Individuator9 months ago

Yes sir. Elevation of His creation.

Her Majesty The Keen's profile picture
Her Majesty The Keen9 months ago

Or mathematics is a notation system for what comprises beauty coordinates.

The Mad Stoic's profile picture
The Mad Stoic9 months ago

Infinitely fascinating!

marianne young's profile picture
marianne young9 months ago

Mesmerizingly beautiful Brian 🥳✨💫 It’s the harmonious melody, and symphony of the universe for which I am part of. It’s The Expression Of The Cosmic Order🌝💫

Dark Cosmos's profile picture
Dark Cosmos9 months ago

Hilbert Space

Daily Smelly's profile picture
Daily Smelly9 months ago

Yeah, this kind. Not the one on school tests.

platochi's profile picture
platochi9 months ago

Is there a program to modify this for any analytic function?

Gemsmakers's profile picture
Gemsmakers9 months ago

I hate maths

RC 🪬's profile picture
RC 🪬9 months ago

Visual learner reporting in 🫡

Queen Beach 🐚's profile picture
Queen Beach 🐚9 months ago

I never thought math was beautiful. This is though.

Johann Wegmann's profile picture
Johann Wegmann9 months ago

Is the fingerprint of God

Telios 🍊💊´d's profile picture
Telios 🍊💊´d9 months ago

Yes

Sinh Nguyen's profile picture
Sinh Nguyen9 months ago

Because you're making that. I only make what you make.

Phdmemes's profile picture
Phdmemes9 months ago

beautiful things have some patterns, and maths works is to disclose those pattren.

LoreleiAH's profile picture
LoreleiAH9 months ago

Yes, it is!

Els's profile picture
Els9 months ago

Beautiful -... . .- ..- - .. ..-. ..- .-..

moe's profile picture
moe9 months ago

The creator is so great.

Cartridge Culture Magazine's profile picture
Cartridge Culture Magazine9 months ago

is this the fermi paradox in action?

Tyler 🇺🇸's profile picture
Tyler 🇺🇸9 months ago

Designed by God himself.

Wayne M's profile picture
Wayne M9 months ago

It's maths, plural...it's a shortened version of the word mathematics..plural. It's plural because there are many different facets. Math is singular!

AI & ML Ops's profile picture
AI & ML Ops9 months ago

😍

Aza Walker's profile picture
Aza Walker9 months ago

Your posts are the best, really 🙏

J's profile picture
J9 months ago

Sacred geometry is goated

Sam's profile picture
Sam9 months ago

In awe of our Universe

Suzanne Perich's profile picture
Suzanne Perich9 months ago

beauty🫠

surendra kumar patel's profile picture
surendra kumar patel9 months ago

#grok is it true or fake...?

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