How did Babylonian mathematics influence time and geometry?

From around 3000 BC, Mesopotamian states utilized arithmetic, algebra, and geometry for taxation, commerce, and recording time and calendars. Babylonian mathematics made use of a sexagesimal numeral system based on 60, which simplified calculations and helped trace planetary transits and geometric relations. Texts such as Plimpton 322 demonstrate early knowledge of mathematical concepts like Pythagorean triples, laying foundational methods that influenced subsequent mathematical and astronomical traditions.

What we know

• Mesopotamian states including Sumer, Akkad, and Assyria used arithmetic, algebra, and geometry starting from 3000 BC to record time, formulate calendars, and handle commerce. [3]
• The earliest available mathematical texts include the Babylonian Plimpton 322 table from around 2000 to 1900 BC, which mentions Pythagorean triples. [3]
• Babylonian astronomy used a sexagesimal (base 60) numeral system to simplify calculations and divide the sky into 360 degrees with 12 zodiacal signs. [5]

Still open

• Current knowledge of Babylonian planetary theory remains in a fragmentary state because only fragments and clay tablets have survived.

Where to go next

• how we knowWhat was Plimpton 322?
• how it workedHow did the base-60 numeral system work?
• what followedHow did Greek mathematics build upon earlier traditions?
• compared withWhat role did geometry play in ancient Egypt?
• the bigger pictureHistory of mathematics
• an unexpected connectionHow did ancient Mesopotamian record-keeping shape modern sky mapping?The Babylonian practice of dividing the sky into a 360-degree circle with 12 zodiacal signs using a base-60 system directly shapes modern astrological and astronomical coordinate systems.

Sources

• [1]history of geometry (Wikidata Q2393733) · CC0 1.0
• [2]History of geometry · CC BY-SA 4.0
• [3]History of mathematics · CC BY-SA 4.0
• [4]Geometry · CC BY-SA 4.0
• [5]Babylonian astronomy · CC BY-SA 4.0