Knowledge Visualization Examples & Ideas
Explore knowledge visuals that help you visualize knowledge with clear Manim animations.
Start CreatingTrigonometry
Sine Wave Animation
Animate a sine wave showing the relationship between circular motion and wave patterns. Great for teaching periodic functions.
Cosine and Sine Relationship
Show how cosine and sine relate to each other as phase-shifted functions on a coordinate plane.
Unit Circle Knowledge Visualization
Visualize knowledge of angles, sine, and cosine as a point moves around the unit circle.
Geometry
Pythagorean Theorem Proof
Visual proof of the Pythagorean theorem using area rearrangement. One of the most elegant proofs in mathematics.
Circle Area Derivation
Show how the area of a circle (πr²) can be derived by unwrapping it into triangles.
Triangle Area Knowledge Visualization
Visualize knowledge of triangle area by showing base, height, and area relationships step by step.
Calculus
Derivative as Tangent Slope
Visualize how the derivative represents the slope of the tangent line at any point on a curve.
Riemann Sum Integration
Animate Riemann sums converging to the area under a curve as the number of rectangles increases.
Fundamental Theorem of Calculus
Show the connection between differentiation and integration visually.
Linear Algebra
Matrix Transformation
Visualize how 2x2 matrices transform vectors and shapes in the plane.
Eigenvectors Visualization
Show how eigenvectors remain on their span during a linear transformation.
Dot Product Geometric Meaning
Illustrate the geometric interpretation of the dot product as projection.
Advanced Topics
Fourier Series Visualization
Demonstrate how complex periodic waves can be built from simple sine waves.
Complex Number Multiplication
Show how multiplying complex numbers corresponds to rotation and scaling.
Taylor Series Approximation
Visualize how Taylor polynomials approximate functions near a point.
Have Your Own Idea?
AnimG can create any mathematical animation you describe. Just type what you want to see and our AI will generate it for you.