Interactives

All Interactives (59)

AllCards and MathContest ProblemsData StructuresDiscrete MathGamesMiscellanyPuzzlesSocial Choice

Showing 59 of 59 interactives

A Mind-Reading Effect

Twenty-five cards, one riffle shuffle and two deals into five piles, and the arrangement survives. A Gilbreath effect you can step through.

Cards and Mathcardsmagic

Akkam Pakkam

Place shared dice sums on a private grid, score equal neighbors, and play live with a classroom leaderboard.

Gamesdicestrategy

Ascending-Descending Grid Puzzle

Fill a grid with numbers that are ascending in rows and descending in columns. A constraint satisfaction puzzle!

Puzzleslogicgrid

Assisted Game of Nim

Learn the XOR strategy! Visualize how powers of 2 determine winning moves with color-coded borders.

Gamesstrategytwo-player

Baby Hummer

Four cards, a few cuts and turns, and the card you noted ends up facing the other way from the rest. Try it, then see why parity makes it unavoidable.

Cards and Mathcardsmagic

Bagchal Game

Play the traditional Nepali board game where tigers try to capture goats while goats try to block tigers.

Gamesstrategyboard-game

Balanced Ternary Representation

Explore balanced ternary using digits T (-1), 0, and 1. Add or subtract powers of three to match the target number.

Discrete Mathbalanced-ternarynumbers

Binary Number Representation

Learn how numbers are represented in binary (base-2) format through an interactive guessing game.

Discrete Mathbinarynumbers

Binary Search Magic Trick

Perform an amazing magic trick that reveals how binary numbers work. Think of a number and watch the magic happen!

Data Structuresbinarymagic

Black Hole

Play on pyramids, grids, paths, and rings with a friend, an online opponent, or AI; run and study persistent experiments with Laya and Jev.

Gamesstrategytwo-player

Bulgarian Solitaire

A mathematical card game where you repeatedly redistribute cards into piles until reaching a stable configuration.

Puzzlessolitairecard-game

CATO Target Puzzle

Reach a target arrangement of face-up and face-down cards using only cuts and turn-over-two moves. Some targets are impossible: can you tell which?

Cards and Mathcardspuzzle

Chessboard Repaint Puzzle

Repaint rows, columns, or 2x2 squares to achieve exactly one black square. A puzzle about parity and operations!

Puzzleslogicparity

Computing π from Coin Tosses

Toss a coin until heads first outnumber tails, record the fraction, and repeat.

Miscellanyprobabilitysimulation

Craps: An Exploration

Experience the classic casino dice game! Roll two dice and learn about probability as you discover the rules of the opening throw.

Gamesprobabilitydice

Cross Window Puzzle

Can a 4×4 grid give every cell a unique cross-shaped neighbourhood? Hunt for two matching crosses, or colour your own grid and watch the collision appear.

Cards and Mathde-bruijnpuzzle

Cut and Turn Over

Ten cards, cut anywhere, turn the top two over, repeat. Watch an invariant hold, then fold the packet and find exactly five face up every time.

Cards and Mathcardsmagic

de Bruijn Comb

A comb exposes four of eight positions as it slides along a 16-bit cycle. Watch all sixteen four-bit reads come out distinct.

Cards and Mathde-bruijncomb

de Bruijn Torus

Slide a 2×2 window around a 4×4 grid of bits that wraps at the edges. Every position shows a different pattern: the idea behind position-coding in robotics.

Cards and Mathde-bruijntorus

DNA and the de Bruijn Graph

Type a DNA string, see which triplets light up on the sequencing array, and watch an Euler path through the de Bruijn graph read the sequence back.

Cards and Mathde-bruijngraph
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