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
Recently got my script-to-manim animation platform (tensorframes.co) to handle long form videos. Feedback welcomed.
Check out more animations @tensor_frames
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:
Key animation milestones in the video:
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!
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
Join me on Patreon and claim your free trial lesson: https://www.patreon.com/cw/Hyperbolic_Math_Chamber
dm me if u would like to work on our project of making lectures for highschool trignomentry
An animation of the Feynman Path Integral, visualizing the Principle of Stationary Action.
For more videos click www.instagram.com/craftsandengineering
Inspired by this post on X https://x.com/scievision369/status/2055314591270436884?s=20
A high-fidelity, visually engaging animation illustrating the mathematical beauty and symmetry of inverse functions across the identity line
For more videos click www.instagram.com/craftsandengineering
For code click https://github.com/zombimann/Mathematical-video-animations-and-visualization/blob/main/Symmetry_of_Powers_and_Roots.ipynb
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!
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.
A high-fidelity 3D animation illustrating the fundamental geometric principles of Einstein's General Theory of Relativity.
For more videos click: www.instagram.com/craftsandengineering
For code click: https://github.com/zombimann/Mathematical-video-animations-and-visualization/blob/main/General_Relativity_Visualization.ipynb
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
An accurate 3D visualization of electromagnetic energy flow around a current-carrying conductor
For more videos click instagram.com/craftsandengineering/
A visually stunning animation of Harmonograph patterns—geometric drawings created by combining perpendicular oscillations.
For more click www.instagram.com/craftsandengineering
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
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
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
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.
The animation cycles through six key physical processes:
For code and more click Mathematical-video-animations-and-visualization/QED_Feynman_Diagrams_Animations.ipynb at main · zombimann/Mathematical-video-animations-and-visualization
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.