A* pathfinding explained in 3D — watch the algorithm explore cells using f = g + h to find the shortest path through obstacles. Interactive animation on Unseel.

Computer Science

Big O Notation

How Big O notation measures algorithm efficiency — see O(1), O(log n), O(n), O(n²), and O(2ⁿ) growth rates compared in 3D.

Algorithms

Binary Search

Step-by-step visualization of binary search on a sorted array — halving the search space with each comparison.

Algorithms

Binary Search Tree

3D tree of floating nodes with glowing edges. Keys travel down to find their position with in-order traversal.

Data Structures

Chain Rule

When functions are nested, the derivative is the product of outer and inner derivatives. The foundation of backpropagation in neural networks.

Calculus

Conic Sections

Slice a double cone with a plane at different angles to produce four curves. Horizontal cut → circle. Tilted cut → ellipse. Cut parallel to the cone\'s side → parabola. Cut steeper than the side → hype

Geometry

Euler\'s Identity

Euler\'s identity e^(iπ) + 1 = 0 links five fundamental constants in one equation. Show the complex plane with the unit circle, Euler\'s formula e^(iθ) = cos θ + i sin θ tracing the circle, and the spec

Analysis

Fibonacci Sequence

The Fibonacci sequence visualized — watch 1, 1, 2, 3, 5, 8, 13, 21 build into the golden spiral. See how the ratio converges to phi (1.618).

Number Theory