Visualize 3D Space and Simulate SpaceTime Curvature with Parametric Surfaces | Manim Tutorial 09

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In this tutorial, we'll dive into the world of 3D visualization and explore the concepts of parametric surfaces, from basic definitions to advanced applications.

From simulating 1 million particles to generating amazing 3D Surfaces

We'll also explore a way to visualize the Spacetime Curvature

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Chapters:

00:00 Intro
00:29 Simulation 1 Million Particles
- 01:41 DotCloud in Manim
- 02:22 Coding Lorenz Evolution
04:21 Aizawa Attractor Simulation
05:08 Curve vs Surface
05:56 Parametric Surface
10:14 Simulate Spacetime Curvature
16:27 Thanks & Outro

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This video is animated using Manim library (based on Python).
Manim is an engine for precise programmatic animations, designed for creating explanatory math videos.

Code for this video:

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Amazing! Never thought that astronomy videos can be made using manim. BTW Can you make a video on 3d vectors (like how to project a vector on another vector or on xy plane, or how to show the plane spanned by two independent vectors moving on the tip of a third vector {as 3b1b explained in his video about span}, and the code for 3b1b's "cross product in the light of linear transformation", etc)?

MathsSciencePhilosophy
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Wonderful codes and videos! Thank you very much.

amateurMathian
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Hi, thank you for your sharing.But how to run your code?

carltonliu