The Tower of Hanoi puzzle was introduced to the public in 1883 by Édouard Lucas, who marketed the game under the pseudonym N. Claus de Siam, an anagram of his name. This creation highlights the French mathematician's dual focus on deep number theory and the development of recreational mathematics throughout his relatively short professional life.
Academic Career and Early Life
Born in Amiens in 1842, Lucas pursued his education at the École Normale Supérieure from 1861 to 1864. His career involved several teaching and research positions across France. He served at the Paris Observatory between 1864 and 1869, followed by faculty roles at Lycée Théodore-de-Banville, Lycée Charlemagne, and Lycée Saint-Louis. During the Franco-Prussian War of 1870–1871, he stepped away from academia to serve as an artillery officer in the French Army.
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Take the IQ test →Contributions to Number Theory
Lucas made substantial advances in the study of prime numbers and sequences. He developed the Lucas sequence and the Lucas primality test, providing methods to verify the primality of large numbers. In 1857, while only 15 years old, he began a manual investigation of the Mersenne number 2^127 - 1. He successfully confirmed its primality in 1876, establishing a record for the largest prime number proved by hand that stood for over seventy years.
Mathematical Challenges and Puzzles
Beyond his formal research, Lucas engaged with complex challenges like the cannonball problem, which explores the Diophantine equation relating the sum of squares to a square integer. He also pioneered recreational mathematics by publishing descriptions of the dots and boxes game in 1889 and devising a binary solution for the Baguenaudier puzzle. His scholarly output included works such as Théorie des nombres, published in 1891.
Circumstances of Death
Lucas died in Paris in 1891 at the age of 49. His death followed a freak accident at an annual congress banquet for the Association française pour l'avancement des sciences. A waiter dropped glassware, and a shard from a broken plate caused a facial wound. The injury led to a severe inflammation, likely sepsis, which proved fatal within days. He is buried at Montmartre Cemetery.
Fast facts
- Born: 1842, Amiens, France
- Died: 1891, Paris, France
- Education: École Normale Supérieure (1861–1864)
- Notable Invention: Tower of Hanoi (1883)
- Primary Field: Number Theory
- Military Service: French Army, Franco-Prussian War
- Burial Site: Montmartre Cemetery
Questions readers ask
What is the cannonball problem?
It is a mathematical challenge posed by Lucas in 1875 concerning the arrangement of cannonballs into a square pyramid, which only yields a solution when N equals 24 and M equals 70.
Did Lucas invent the Tower of Hanoi?
Yes, he created and released the puzzle in 1883 under the name N. Claus de Siam, which is an anagram of his surname.
Achievements
- Notable work: Théorie des Fonctions Numériques Simplement Périodiques
- Notable work: Lucas sequence
- Notable work: Lucas number
- Notable work: Lucas primality test
- Held posts at Paris Observatory, PSL University, Lycée Saint-Louis and Lycée Charlemagne
- Fields: number theory, mathematics and Fibonacci sequence
