https://teddyrookbook.com/math/gallery/Recent content in Math Gallery on Teddy Rook Bookhttps://teddyrookbook.com/img/share.jpghttps://teddyrookbook.com/img/share.jpgHugoenhttps://teddyrookbook.com/math/gallery/mandelbrot/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/mandelbrot/One tiny rule, repeated, draws a shape with endless detail. Zoom in as far as you like.https://teddyrookbook.com/math/gallery/julia-sets/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/julia-sets/Every point of the Mandelbrot set has a Julia set of its own. Move the point and watch the shape change.https://teddyrookbook.com/math/gallery/double-pendulum/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/double-pendulum/Two pendulums start a millionth of a radian apart. Within seconds they go their own ways.https://teddyrookbook.com/math/gallery/lorenz/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/lorenz/Three simple equations from a weather model trace a looping, never-repeating path. Turn it around in 3D.https://teddyrookbook.com/math/gallery/logistic-map/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/logistic-map/A one-line population model settles down, then splits in two, then four, then turns to chaos.https://teddyrookbook.com/math/gallery/galton-board/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/galton-board/Each ball bounces left or right at random, yet together they always build the same bell-shaped pile.https://teddyrookbook.com/math/gallery/buffons-needle/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/buffons-needle/Drop needles on a striped floor and count how many cross a line. Out comes π.https://teddyrookbook.com/math/gallery/monty-hall/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/monty-hall/Three doors, one car, and a host who opens a door with a goat. Should you switch? Play it, then run 1,000 games.https://teddyrookbook.com/math/gallery/random-walks/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/random-walks/Take steps in random directions. On a line or a flat grid you are sure to get back home. In space, you might not.https://teddyrookbook.com/math/gallery/birthday-problem/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/birthday-problem/In a room of just 23 people, it’s more likely than not that two share a birthday. See why.https://teddyrookbook.com/math/gallery/koch-sierpinski/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/koch-sierpinski/A shape with an endless edge around a finite area, and a triangle with holes all the way down. Plus: what is a fractal dimension?https://teddyrookbook.com/math/gallery/golden-angle/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/golden-angle/Turn by 137.5° before placing each new seed, and the seeds pack perfectly. Turn by a tidy fraction, and they don’t.https://teddyrookbook.com/math/gallery/space-filling-curves/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/space-filling-curves/A single line, folded again and again, that ends up passing through every point of a square.https://teddyrookbook.com/math/gallery/hypercube/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/hypercube/We can’t build a four-dimensional cube, but we can draw its shadow, the same way a drawing of a cube is a shadow of a 3D shape.https://teddyrookbook.com/math/gallery/mobius-klein/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/mobius-klein/A strip of paper with only one side, and its closed-up cousin, a bottle with no inside.https://teddyrookbook.com/math/gallery/penrose-tiling/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/penrose-tiling/Two diamond-shaped tiles that cover the whole floor with a pattern that never repeats.https://teddyrookbook.com/math/gallery/ulam-spiral/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/ulam-spiral/Write the counting numbers in a spiral and mark the primes. Diagonal lines appear, and nobody can fully explain them.https://teddyrookbook.com/math/gallery/collatz/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/collatz/Halve it if it’s even; triple it and add one if it’s odd. Every number tried so far falls to 1, but no one can prove they all do.https://teddyrookbook.com/math/gallery/fourier-epicycles/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/fourier-epicycles/Draw any loop. A chain of spinning circles, each turning at a whole-number speed, can trace it.https://teddyrookbook.com/math/gallery/konigsberg-bridges/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/konigsberg-bridges/Can you walk across all seven bridges, crossing each one exactly once? Euler showed why you can’t, and invented graph theory doing it.https://teddyrookbook.com/math/gallery/four-color/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/four-color/Any map can be colored with just four colors so that neighbors never match. Proving it took 124 years and a computer.https://teddyrookbook.com/math/gallery/brachistochrone/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/brachistochrone/What is the fastest slide from A down to B? Not the straight line. The winner is a curve called a cycloid.https://teddyrookbook.com/math/gallery/game-of-life/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/game-of-life/A grid of cells and three short rules. Out come blinkers, gliders and even a gun that fires gliders forever.https://teddyrookbook.com/math/gallery/still-unsolved/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/gallery/still-unsolved/Four questions about whole numbers that anyone can understand and no one has answered: twin primes, Goldbach, Collatz and the Riemann hypothesis.