Mathematics in pictures
See geometry, numbers, and algebra as relationships you can reason about.
Algorithmic
Every idea has
a way in.
Explore mathematics, algorithms, and computer science through clear visual explanations. See what changes at each step, and understand why the result makes sense.
Change the shape.
Keep the area.
Slide the top of a square sideways. Its base and height stay the same, so its area does too. This transformation is a shear, with a determinant of 1.
Horizontal shear: (x, y) becomes (x + s·y, y). The starting square has side length 1.
Explore determinants and area · MIT
Area after transformation
Explore the video library.
Follow the full collection, one explanation at a time.
Newest first
More Slant, Same Area #LinearAlgebra #Determinants #Math
Watch on YouTube
Two Bit Flips Can Pass This Check #Parity #Binary #ComputerScience
Watch on YouTube
What Does a Determinant Actually Measure?
Watch on YouTube
Can Nobody's Favorite Beat Every Rival? #VotingTheory #Mathematics #Rankings
Watch on YouTube
150% Chance? Count Again. #BirthdayParadox #Probability #ExpectedValue
Watch on YouTube
Do Hash Collisions Lose Data? #HashTables #Algorithms #ComputerScience
Watch on YouTube
How Can Four Questions Find a Hidden Number?
Watch on YouTube
How Does Dijkstra Remember the Route? #Dijkstra #ShortestPath #Algorithms
Watch on YouTube
How Do Codes Work Without Spaces? #HuffmanCoding #Binary #Algorithms
Watch on YouTube
How Computers Correct a Flipped Bit
Watch on YouTube
Why the Biggest Coin Can Lose #GreedyAlgorithm #CoinChange #Algorithms
Watch on YouTube
What If Binary Search Cannot Find the Number? #BinarySearch #Algorithms #ComputerScience
Watch on YouTube
Why Majority Voting Can Go in Circles
Watch on YouTube
Why 23 People Make a Birthday Match Likely
Watch on YouTube
How Hash Tables Find Data So Quickly
Watch on YouTube
How Dijkstra Finds the Shortest Path
Watch on YouTube
How Huffman Coding Makes Files Smaller
Watch on YouTube
When Greedy Fails: The Logic of Dynamic Programming
Watch on YouTube
How Binary Search Finds One in a Million
Watch on YouTubePublic videos from YouTube, newest first.
Room for curiosity.
Algorithms at work
Follow a problem as each well-chosen step changes what remains to be solved.
Patterns & structures
Discover how graphs, transformations, and connections organize an idea.
The limits of computation
Ask what can be computed, what it costs, and where the difficult questions begin.
Keep following the idea.
Take your curiosity into the physical world. Explore physics and the universe on Continuum.