List of things named after Pythagoras

This is a list of things named after Pythagoras, the ancient Greek philosopher, mystic, mathematician, and music theorist.

Philosophy and mysticism

• Pythagoreanism – the system of philosophy of Pythagoras and his followers
• Neopythagoreanism – a later philosophical system
• Pythagorean cup – a drinking cup that forces its user to imbibe only in moderation
• Pythagorean letter – the Greek letter upsilon, used as a symbol by the Pythagoreans
• Pythagorean diet – vegetarianism
• Pythagorean symbol – the tetractys
• Pythagorean system – the distinctive system of numerology used by the Pythagoreans

Mathematics

• Pythagorean theorem – the statement that the sum of the areas of the squares on the sides of a right triangle is the area of the square on the hypotenuse
• Pythagorean triple – a set of three positive integers that can occur in the Pythagorean theorem
• Pythagorean quadruple - a set of four positive integers that describes the space diagonal of a cuboid. Also known as a Pythagorean box.
• Pythagorean expectation – a method of statistical analysis inspired by the Pythagorean theorem
• Pythagorean field – in algebra, a field in which the sum of two squares is in every case itself a square
• Pythagorean prime – a prime number of the form 4n + 1
• Pythagorean trigonometric identity – any of several trigonometric identities
• Pythagorean means – the arithmetic mean, the geometric mean, and the harmonic mean
• Pythagorean addition – an arithmetic operation arising from the Pythagorean theorem
• Pythagoras's constant – the square root of 2
• Lute of Pythagoras – a geometric figure
• Pythagoras tree – a fractal geometric figure
• Table of Pythagoras, another name for the Multiplication table

Music

• Pythagorean comma
• Pythagorean tuning
• Pythagorean hammers
• Pythagorean interval

Other

• Pythagoras' Cave, where Pythagoras is said to have hidden from the tyrant Polycrates on Mount Kerkis on Samos
• Pythagoreion, a town on Samos
• Pythagoras (crater) – a lunar crater
• PythagoraSwitch – a Japanese educational TV program, which also features sequences showing . Pythagorean Devices are known in the US as "Rube Goldberg machines", or in Great Britain as "Heath Robinson" contraptions.
• Pythagoras Mechanical Workshop Museum – a building—a former factory—in Sweden
• School of Pythagoras – the oldest building in St John's College, Cambridge
• Pythagoras ABM – an agent-based software model
• Knights of Pythagoras – a Masonic body for boys