Mathematical Animation Engine

AI Video Lesson Studio

Transforms mathematical proofs and theorems into animated visual storyboards with voiceover narration, geometric physics, and synchronized KaTeX subtitles.

Vector Canvas Physics 5 Dynamic Animation Modes Real-time Speech Synthesis

Choose Concept or Enter Custom Theorem:

Geometric Proof: Area of a Circle = πr²

Interactive Animation Stage • 3 Scenes

C = 2\pi r, \quad \text{Radius } = r

Scene 1 / 3

“Imagine cutting a solid circle from the center outward and unrolling each concentric ring.”

0:00 / 0:27

Tap any scene keyframe to jump directly: 27s Total

Scene 1

$C = 2\pi r, \quad \text{Radius } = r$

A circle of radius r is dissected into fine concentric rings.

“Imagine cutting a solid circle from the center outward and unrolling each concentric ring.”

Scene 2

$\text{Base} = 2\pi r, \quad \text{Height} = r$

The unrolled concentric strips straighten into a right triangle.

“The outermost ring forms the base of length 2 pi r, while the radial strips stack to height r.”

Scene 3

$\text{Area} = \frac{1}{2} \times (2\pi r) \times r = \pi r^2$

Area of the straightened triangle computes to half base times height.

“Computing half base times height directly proves that the circle's area is pi times r squared.”