#math

Showing 18 experiments.

How to Make Math Animation Videos With AI (No Code)

To make math animations with AI, describe the concept in a prompt and QuantumSketch renders a narrated Manim video — no Python, no setup.

Jun 32 min read

#math#animation#calculus

How to Animate the Derivative | QuantumSketch

Animate the derivative by drawing a secant line on a curve and shrinking the gap h toward zero until it becomes the tangent. Here's the visual and the prompt.

Jun 32 min read

#math#animation#linear-algebra

Visualize Matrix Multiplication | QuantumSketch

Visualize matrix multiplication as a transformation of space: the matrix moves the basis vectors î and ĵ, and the whole grid follows. Here's the animation.

May 312 min read

#math#animation#statistics

How to Animate the Central Limit Theorem | QuantumSketch

Animate the central limit theorem by drawing sample means for growing n and watching their histogram converge to a bell curve, even from a skewed source.

May 282 min read

#math#animation#fourier

How to Visualize the Fourier Transform | QuantumSketch

Visualize the Fourier transform by wrapping a signal around a circle and watching its center of mass spike at the signal's frequencies. Here's the animation.

May 252 min read

#math#animation#algorithms

How to Animate Merge Sort Step by Step | QuantumSketch

Animate merge sort by splitting an array into halves until single elements, then merging sorted pairs back up. The recursion tree makes O(n log n) visible.

May 222 min read

#math#animation#linear-algebra

Visualize Eigenvectors & Eigenvalues | QuantumSketch

Visualize eigenvectors as the vectors that don't change direction under a matrix — they only stretch by the eigenvalue. Watch the grid transform around them.

May 192 min read

#math#animation#geometry

Animate a Pythagorean Theorem Proof | QuantumSketch

Animate the Pythagorean theorem with the rearrangement proof: squares on the legs slide and recombine into the square on the hypotenuse, showing a²+b²=c².

May 162 min read

#math#animation#machine-learning

How to Visualize Gradient Descent | QuantumSketch

Visualize gradient descent as a ball rolling downhill on a loss surface, taking steps proportional to the slope until it settles in a minimum. Here's the animation.

May 132 min read

#math#animation#calculus

How to Animate Riemann Sums | QuantumSketch

Animate Riemann sums by filling the area under a curve with rectangles, then increasing their count so the staircase converges to the exact integral.

May 102 min read

#math#animation#machine-learning

How to Visualize a Neural Network | QuantumSketch

Visualize a neural network as layers of nodes connected by weighted edges, with data flowing left to right and brightening connections showing what it learned.

May 72 min read

#math#animation#trigonometry

Animate Sine & Cosine From the Unit Circle | QuantumSketch

Animate sine and cosine by spinning a point around the unit circle: its height traces the sine wave and its shadow traces cosine. Here's the animation.

May 42 min read

#math#animation#algorithms

Visualize Sorting Algorithms Compared | QuantumSketch

Visualize sorting algorithms as bars that swap and settle: bubble sort crawls, quicksort partitions, merge sort divides. Side-by-side animation shows why speed differs.

May 12 min read

#math#animation#statistics

How to Animate Bayes' Theorem | QuantumSketch

Animate Bayes' theorem with a shrinking population grid: start with everyone, filter by the test result, and the surviving squares reveal the true probability.

Apr 282 min read

#math#animation#linear-algebra

How to Visualize Vectors in 2D and 3D | QuantumSketch

Visualize vectors as arrows with length and direction: animate addition tip-to-tail, scaling, and the dot product as projection. Works in 2D and 3D.

Apr 252 min read

#physics#animation#math

Animate a Pendulum & Phase Space | QuantumSketch

Animate a pendulum alongside its phase-space portrait: the swing on the left, a point tracing angle vs angular velocity on the right, revealing the orbit.

Apr 222 min read

#math#animation#algorithms

How to Animate Binary Search | QuantumSketch

Animate binary search by halving a sorted array each step: check the middle, discard the wrong half, repeat. The shrinking window shows the O(log n) speed.

Apr 192 min read

#manim#math#animation

What Is Manim? A Plain-English Guide | QuantumSketch

Manim is a Python animation engine, built by 3Blue1Brown's Grant Sanderson, that renders precise mathematical animations from code. Here's how it works.

Mar 262 min read