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Pentomino (1965) — How Solomon Golomb's Five-Square Shape Became Tetris
In 1965, American mathematician Solomon W. Golomb published Polyominoes, a book that gathered the theory of the twelve five-square shapes known as pentominoes. The naming traces back to a 1953 Harvard lecture; Martin Gardner's column carried it to general readers in 1957; a Russian translation appeared in 1975. Then in 1984, a young Moscow computer scientist named Alexey Pajitnov, drawing on his own childhood memories of pentominoes, moved shapes on an experimental computer, and Tetris was born. This piece traces the more than thirty years it took a five-square shape to travel the world.
Henry Dudeney (1907) — Four Hinged Pieces That Turn a Triangle Into a Square
In 1907, English puzzle maker Henry Dudeney published, within The Canterbury Puzzles, the Haberdasher's Puzzle: cutting an equilateral triangle into just four pieces that reform into a square. Hinged together, the pieces could transform with a single fold, and the dissection drew attention in its day -- yet the proof that four pieces were truly minimal remained unresolved for a surprisingly long time, settled only by a 2024 computational-geometry paper. Tracing Dudeney's rivalry with Sam Loyd and his rediscovery through Martin Gardner, this piece rereads how a paper puzzle took 117 years to reach computer science.
Tower of Hanoi (1883) — The 64 Disks That Never End, and the Legacy of Recursion
In 1883 the French mathematician Édouard Lucas released a small wooden toy under the pseudonym 'N. Claus (de Siam).' Three pegs, disks of differing size, and just two rules. Yet beneath that plain surface lay the mathematics of recursion: moving n disks demands a minimum of 2^n−1 moves. This essay revisits the toy's true origin, the fabricated Benares legend in which the world ends when 64 disks are moved, and what the ideas of 'recursion' and 'state space' bequeathed to later computer science and to puzzle design today.
Rubik's Cube (1974) — A Labyrinth of 43 Quintillion States, and a Single Solution
In 1974, the Budapest architect Ernő Rubik carved a small cube as a teaching aid—and ended up placing an entire 'state space,' some 43 quintillion configurations with exactly one solved form, into the palm of a hand. This piece traces the object's precise provenance through primary and secondary sources—its 1974 invention, its 1980 global debut, and the 2010 proof that 'God's Number is 20'—and reads, as history, how an object with no screen and no power supply embodied half a century early the vocabulary modern puzzle designers now take for granted: reversibility, a unique solution, and a space to be searched.
The 15 Puzzle (1880) — The Unsolvable Move with Which Sam Loyd Fooled the World
In early 1880 a craze for the '15 Puzzle' swept America and Europe. But Sam Loyd, whom the world believed to be its inventor, was an impostor who only claimed authorship sixteen years after the craze had ended. This essay traces the box's true origin and the 1879 proof that the 'swapped 14-and-15' board Loyd staked his prize on is mathematically unsolvable, and rereads the legacy sliding puzzles left to modern digital puzzle design: the guarantee of solvability.
