r/manim

▲ 299 r/manim+5 crossposts

Taylor Series Visualized with Manim

Recently got my script-to-manim animation platform (tensorframes.co) to handle long form videos. Feedback welcomed.

Check out more animations @tensor_frames

u/tensorframes — 3 days ago
▲ 25 r/manim

Visualizing 3D Gradient Vector Fields and Polynomial Surfaces using Manim (GL & CE)

Hi r/manim,

I wanted to share my project where I pushed Manim's 3D capabilities to explain Machine Learning mathematics.

This is a sequel to my previous gradient video, but this time I focused on transitioning from flat linear hyperplanes to complex multivariate polynomial surfaces.

You can watch the full video here:

https://youtu.be/xFF6IgU9eCw

Key animation milestones in the video:

  • 0:00 Multivariate Linear Regression Made Simple
  • 0:47 Visualizing Multivariate Polynomials and Nonlinear Separation
  • 2:09 Intro to Gradients: Visualizing Gradients on a Bowl-Shaped Surface
  • 3:29 Quick Intuition: Gradients in Linear vs. Polynomial Regression
  • 4:52 Partial Derivatives Made Visual — Paraboloid Gradient (Slicing effect)
  • 6:32 Comparing Linear and Polynomial (Perpendicular and Fastest)
  • 7:53 Visual Proof: Gradient $\perp$ Contour Lines
  • 9:55 Intuition from Partial Derivatives: The Gradient & Steepest Ascent
  • 10:58 Does Gradient Always Show the Fastest Increase?

I would absolutely love to hear your feedback on the camera movements, the 3D surface rendering, or how I could optimize the rendering times for these dense vector fields.

If anyone is curious about how a specific part was coded, feel free to ask!

u/AI_Highschool — 3 days ago
▲ 220 r/manim+4 crossposts

The Higgs Mechanism - Inspired by Feynman Diagrams

The Higgs Mechanism, electroweak symmetry breaking, and key particle physics concepts inspired by Feynman Diagrams.

Concepts visualized are:

The Higgs Field
Spontaneous Symmetry Breaking
Gluon Fusion
Higgs Decay to Photons (H → ̳̳)
The Golden Channel (H → ZZ → 4ℓ)
Electroweak Symmetry Breaking

For more animations click www.instagram.com/craftsandengineering

For code and more click https://github.com/zombimann/Mathematical-video-animations-and-visualization/blob/main/Quantum_Physics_Higgs_Mechanism_Feynman_Diagrams.ipynb

Music attribution: Quantum - PHNKR PHONK & Donovan on TikTok music library

u/Fluffy-Selection2940 — 4 days ago
▲ 112 r/manim+4 crossposts

Visualization of the Feynman Path Integral and Principle of Stationary action

u/Fluffy-Selection2940 — 5 days ago
▲ 37 r/manim+2 crossposts

I made a visual guide to decode the Z-Transform

Hey everyone,

I just published a quick, 5-minute animated guide breaking down the Z-Transform. Instead of just throwing a wall of math at you, I tried to make the concepts actually click.

In the video, I cover:

  • How the Z-Transform compares to the Laplace transform

  • Deriving the simplest signals (Unit Impulse & Unit Step)

  • Crucial properties: Linearity, Time-Shifting, and Value Theorems

  • A mechanical 3-step engine to solve any difference equation using Partial Fraction Expansion.

Let me know what you think, or if there are any other DSP topics you'd like to see visualized!

youtu.be
u/Ki-Chao — 6 days ago
▲ 102 r/manim+4 crossposts

Why Newton's 3rd Law is Incomplete

Newton's 3rd Law is one of the first things you learn in physics. But what if it's not actually a law it's a consequence of something much deeper?
In this video we derive Newton's 3rd Law from scratch using momentum conservation, then ask the question nobody asks in school: where does momentum conservation even come from?
The answer takes us to Emmy Noether's theorem one of the most profound results in all of physics and reveals that every conservation law you've ever learned is secretly a symmetry of the universe in disguise.
But here's the thing. Noether's theorem is only as strong as the symmetries it assumes. And the universe doesn't always cooperate.
What we cover:

Deriving Newton's 3rd Law from momentum conservation
Why momentum is conserved the real reason
Noether's theorem: symmetry to conservation law
Translational, rotational and time translation symmetry
Why Newton's 1st Law and Noether's theorem have the exact same problem
Where time translation symmetry actually breaks and what that means for energy conservation globally

This is the rabbit hole behind the law your textbook treats as obvious.

u/soggytime07 — 7 days ago
▲ 29 r/manim+3 crossposts

The Spiral of Theodorus: Geometric Animation

A high-quality animation of the Spiral of Theodorus (also known as the Pythagorean Spiral).

The animation illustrates the step-by-step construction of contiguous right triangles, providing both a visual and mathematical representation of irrational square roots.

For more videos click: www.instagram.com/craftsandengineering

For code click Mathematical-video-animations-and-visualization/Spiral_of_Theodorus_Geometric_Animation.ipynb at main · zombimann/Mathematical-video-animations-and-visualization

u/Fluffy-Selection2940 — 6 days ago
▲ 114 r/manim+4 crossposts

Sphere Construction via Triple Integrals

This project provides a visual, 3D exploration of how a sphere's volume is constructed using calculus—specifically triple integrals in spherical coordinates.

For more videos click www.instagram.com/craftsandengineering

For code and more click Mathematical-video-animations-and-visualization/Sphere_construction_with_Triple_Integrals.ipynb at main · zombimann/Mathematical-video-animations-and-visualization

u/Fluffy-Selection2940 — 10 days ago
▲ 310 r/manim+3 crossposts

Maze Solving Contest - Which Method is Fastest?

A side-by-side comparison of various pathfinding and search algorithms on a randomly generated maze. Each algorithm is visualized to demonstrate its exploration strategy and efficiency in discovering the final path.

Algorithms Included

  1. A*
  2. Dijkstra
  3. Greedy Best-First
  4. BFS (Breadth-First Search)
  5. DFS (Depth-First Search)
  6. Bidirectional BFS
  7. Weighted A*
  8. Recursive Backtrack
  9. Wall Follower

For more videos click www.instagram.com/craftsandengineering

For code and more click Mathematical-video-animations-and-visualization/maze_solvers_competition.ipynb at d39ad7e4143932582ce4cccdc89e3f5b7d69f417 · zombimann/Mathematical-video-animations-and-visualization

u/Fluffy-Selection2940 — 12 days ago
▲ 68 r/manim+13 crossposts

Quantum Electrodynamics visualization using Feynman Diagrams

Quantum Physics Series

Video 1 of 6: Quantum Electrodynamics visualization using Feynman Diagrams

Author: Mugambi Ndwiga
In: www.instagram.com/craftsandengineering

This animation visualizes the fundamental interactions of Quantum Electrodynamics (QED) using Feynman diagram conventions. QED is the relativistic quantum field theory of electrodynamics, describing how light and matter interact.

Visualized Phenomena

The animation cycles through six key physical processes:

  1. Compton Scattering: A photon hits an electron, resulting in an energy shift and change in direction.
  2. Electron-Positron Annihilation: An electron and its antiparticle (positron) collide to produce high-energy photons ().
  3. Pair Production: A high-energy photon interacts with the electric field of an atomic nucleus to create an electron-positron pair.
  4. Bremsstrahlung (Braking Radiation): A charged particle (electron) is deflected by a nucleus and radiates energy as a photon.
  5. Møller Scattering: The interaction and repulsion between two electrons via the exchange of a virtual photon.
  6. Vacuum Polarization: A process where a photon temporarily fluctuates into a virtual electron-positron pair, affecting the vacuum's permittivity.

For code and more click Mathematical-video-animations-and-visualization/QED_Feynman_Diagrams_Animations.ipynb at main · zombimann/Mathematical-video-animations-and-visualization

u/Fluffy-Selection2940 — 10 days ago
▲ 17 r/manim+4 crossposts

i think i should stop ?

I’ve been obsessed with math my whole life. There is something so beautiful about how a complex identity like $(a+b)^2$ or the Pythagorean Theorem can be explained with just a few moving shapes. That’s why I started my channel—I wanted to create those "lightbulb moments" for other people using Manim.

I spend days, sometimes a week, coding a single animation. I’m out here debugging C++ Qt editors and writing Python scripts until 3 AM just to make sure a proof looks perfect, minimalist, and clear (very much inspired by 3Blue1Brown).

But I feel like I’m shouting into a void.

I put so much effort into the aesthetics—the dark backgrounds, the cyan highlights, the algebraic precision—but the views just aren't there. It’s starting to feel like the algorithm doesn't have room for a small creator doing educational math.

I’m at a crossroads. Is it my content? Is it the niche? I really don't want to give up because I love this subject, but it’s hard to keep spending 40+ hours on a video that gets 10 views.

If you appreciate clean, visual math proofs or just want to see if my content is actually worth saving, I’d really appreciate it if you could take a look and give me some honest feedback. I’m just trying to improve, but I need a reason to keep going.

https://www.youtube.com/channel/UCOTA-6VB9DzCziVC3M7R_dQ

u/Adventurous_Rub_1777 — 12 days ago