Episode Overview: Long before Europe adopted the concept of zero, the ancient Maya had already created one of the most sophisticated mathematical systems in the world. In this episode of Math Science History, host Gabrielle Birkjak uncovers the secrets of Mayan mathematics, from the elegance of their base-20 number system, to their revolutionary use of zero, to the celestial precision encoded in the Dresden Codex.

We explore how the Maya embedded math into everything from pyramids to calendars, and how European scholars like Ernst Förstemann helped rediscover their brilliance centuries later. This isn’t just a story about numbers, it’s a story about worldview, time, astronomy, and one of the most advanced mathematical traditions of the ancient world.

Three Things You’ll Learn in This Episode:How the ancient Maya independently invented and used zero in a positional number system.

Why their base-20 (vigesimal) system was uniquely suited for astronomy and calendar cycles.

How the Dresden Codex survived colonialism and war to become a key to understanding Mayan math and astronomy.

Resources and Further Reading:

SLUB Dresden Digital Archive: View the Dresden Codex: https://digital.slub-dresden.de/werkansicht/dlf/29691/1

Förstemann, Ernst. Commentary on the Maya Manuscript in the Royal Public Library of Dresden (1901): https://archive.org/details/commentarymaya00fruoft

Coe, Michael D., and Stephen Houston. The Maya, 9th ed. Thames & Hudson, 2015.

Ifrah, Georges. The Universal History of Numbers. Wiley, 2000.

British Museum, Maya Mathematics Learning Resource: https://www.britishmuseum.org/learn/schools/ages-7-11/maths/maya-mathematics

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How the Ancient Maya Invented Zero and Decoded the Cosmos