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Israeli study finds math in ancient Mesopotamian flower art

By JNS Staff

Researchers at Israel’s Hebrew University have identified the world’s earliest systematic botanical art, dating back more than 8,000 years, that demonstrates sophisticated mathematical reasoning.

Professor Yosef Garfinkel and Sarah Krulwich analyzed pottery from the Halafian culture of northern Mesopotamia (circa 6200-5500 BCE) across 29 archaeological sites. Their study, published in the Journal of World Prehistory, found that flowers, shrubs and trees painted on vessels displayed precise numerical patterns—particularly petal counts following geometric progressions of 4, 8, 16, 32 and 64.

Pottery from the Max Mallowan excavation at Arpachiyah, Iraq, now held in the collections of the British Museum and University College London. Photo courtesy of Yosef Garfinkel.

The researchers argue these sequences weren’t decorative accidents but reflected intentional mathematical thinking about dividing space and quantities, likely tied to practical needs such as sharing harvests from communal fields…

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