Archaeologists have identified a specific Maya mathematician-astronomer named Sak Tahn Waax, or “White-Chested Fox,” after analyzing a complex mathematical formula inscribed on the walls of a chamber in Xultun, Guatemala. Published in the journal Antiquity, the findings confirm that Maya scholars were recognized for their intellectual contributions in the mid-eighth century AD, using advanced astronomical calculations to track Venus, solar cycles, and Mars.
The Discovery of Sak Tahn Waax
The identification of Sak Tahn Waax stems from a detailed analysis of “Text 19,” a small, L-shaped sequence of eleven hieroglyphs located within a workspace for ancient scribes. According to Heather Hurst, an archaeologist at Skidmore College, the text includes a phrase translated as “so says,” which precedes the mathematician’s name. This placement suggests the scribe was formally claiming credit for the complex astronomical data presented on the wall.
Gerardo Aldana, an anthropologist at the University of California, Santa Barbara, notes that the explicit naming of a mathematician is significant. It indicates that these scholars were recognized in Maya society as much as artists were.
Did you know?
The mathematical calculations at Xultun were not merely for record-keeping. They functioned as a “mathematical flex,” according to Heather Hurst, who suggests the scribes were showcasing their ability to synthesize complex calendar patterns in a playful, sophisticated manner.
Mathematical Precision in Maya Astronomy
The formula found in Text 19 demonstrates how the Maya synchronized disparate astronomical and calendar systems. The calculations center on a 2,920-day cycle, which effectively bridges the gap between five Venus cycles—each lasting 584 days—and eight solar years of 365 days each.
Beyond solar and Venusian cycles, the inscriptions integrate several other foundational units of the Maya timekeeping system:
- Uinal: 20-day months.
- Tzolkin: The 260-day sacred calendar.
- Tun: A 360-day year.
- Mars cycles: 780-day periods.
Hurst describes the work as “super nerdy math,” noting that the scribes often used an abbreviated shorthand. The glyphs provide only partial data, implying that the reader was expected to know the remaining figures, suggesting a high level of mathematical literacy among the scribes working in the Xultun chamber.
Future Trends in Maya Archaeological Research
Eric Heller, an archaeologist at the University of Southern California Dornsife, emphasizes that this discovery highlights the Maya as deeply creative and intellectually curious people who pursued mathematics for its own sake.

Frequently Asked Questions
Who was Sak Tahn Waax?
Sak Tahn Waax, or “White-Chested Fox,” was a Maya mathematician-astronomer identified from hieroglyphic inscriptions at Xultun, Guatemala. He is believed to have worked in the mid-eighth century AD.
Why is the discovery of Text 19 important?
It provides evidence that individual mathematicians were credited for their work in Maya society and reveals the sophisticated, shorthand methods they used to reconcile complex astronomical cycles.
How did the Maya use these calculations?
These formulas were used to track astronomical events, which informed the timing of critical societal events, including the inaugurations of kings.
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