List of things named after Pythagoras explained

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

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

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