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Math is beautiful…

107,846 次观看 • 9 个月前 •via X (Twitter)

36 条评论

We Live to Serve 的头像
We Live to Serve9 个月前

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

Kate Spelman, R.N. 的头像
Kate Spelman, R.N.9 个月前

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 的头像
Brian Roemmele9 个月前

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. 的头像
Kate Spelman, R.N.8 个月前

Thank you!

EsoRosae 的头像
EsoRosae9 个月前

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

𝐞𝐜𝐤𝐦𝐚𝐲𝐫.𝐭𝐞𝐳 /.𝐞𝐭𝐡 的头像
𝐞𝐜𝐤𝐦𝐚𝐲𝐫.𝐭𝐞𝐳 /.𝐞𝐭𝐡9 个月前

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 的头像
Laurent Hh9 个月前

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

@UnseenNorth 的头像
@UnseenNorth9 个月前

Math is Divine.

Mentis 🇦🇺 的头像
Mentis 🇦🇺9 个月前

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

Lady White Eagle 的头像
Lady White Eagle9 个月前

Math is a student of #nature 🌱

Individuator 的头像
Individuator9 个月前

Yes sir. Elevation of His creation.

Her Majesty The Keen 的头像
Her Majesty The Keen9 个月前

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

The Mad Stoic 的头像
The Mad Stoic9 个月前

Infinitely fascinating!

marianne young 的头像
marianne young9 个月前

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 的头像
Dark Cosmos9 个月前

Hilbert Space

Daily Smelly 的头像
Daily Smelly9 个月前

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

platochi 的头像
platochi9 个月前

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

Gemsmakers 的头像
Gemsmakers9 个月前

I hate maths

RC 🪬 的头像
RC 🪬9 个月前

Visual learner reporting in 🫡

Queen Beach 🐚 的头像
Queen Beach 🐚9 个月前

I never thought math was beautiful. This is though.

Johann Wegmann 的头像
Johann Wegmann9 个月前

Is the fingerprint of God

Telios 🍊💊´d 的头像
Telios 🍊💊´d9 个月前

Yes

Sinh Nguyen 的头像
Sinh Nguyen9 个月前

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

Phdmemes 的头像
Phdmemes9 个月前

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

LoreleiAH 的头像
LoreleiAH9 个月前

Yes, it is!

Els 的头像
Els9 个月前

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

moe 的头像
moe9 个月前

The creator is so great.

Cartridge Culture Magazine 的头像
Cartridge Culture Magazine9 个月前

is this the fermi paradox in action?

Tyler 🇺🇸 的头像
Tyler 🇺🇸9 个月前

Designed by God himself.

Wayne M 的头像
Wayne M9 个月前

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 的头像
AI & ML Ops9 个月前

😍

Aza Walker 的头像
Aza Walker9 个月前

Your posts are the best, really 🙏

J 的头像
J9 个月前

Sacred geometry is goated

Sam 的头像
Sam9 个月前

In awe of our Universe

Suzanne Perich 的头像
Suzanne Perich9 个月前

beauty🫠

surendra kumar patel 的头像
surendra kumar patel9 个月前

#grok is it true or fake...?

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