One Thousand and One Conjectures

This joins the Dresden Codex — the finest surviving Maya astronomical manuscript — to the mathematics of best rational approximation. The codex's Venus table tracks the planet with a canonical 584-day period, but the true synodic period is close to 583.92 days,…

This joins the Classic Maya collapse to the physics of percolation — the mathematics of systems that fail not gradually but when a critical threshold is crossed. Lowland Maya cities rode out the dry season on constructed reservoirs, so each city's resilience…

Airborne LiDAR has stripped the canopy from the Maya lowlands and revealed settlement in the tens of thousands of structures, making true regional settlement hierarchies measurable for the first time; settlement-scaling theory, meanwhile, holds that integrated urban systems produce Zipfian rank-size distributions…

The Inca road system, the Qhapaq Ñan, was punctuated by tambos — state way-stations providing lodging and stores — whose spacing has usually been described loosely as a day's walk apart. But a day's walk in the Andes is not a distance:…

Spanish chroniclers report that Inca accounting was run by paired officials who kept independent records of the same stocks so that each could check the other — and the surviving corpus does contain matching khipus, cord records whose numerical content substantially overlaps.…

Joins transport-cost linear programming to the Codex Mendoza, the pictorial register of what each Aztec province owed Tenochtitlan. The empire had no draft animals and no wheels: every tribute load moved on a porter's back, so the true cost of a good…

Joins statistical process control — the control charts and capability indices of modern manufacturing — to Andean ceramics. Inca state pottery, above all the standard aryballos storage jar, was the output of an administered production system, so the tightness of its dimensional…

Early-warning theory of critical transitions says complex systems approaching a tipping point betray themselves in advance — variance and autocorrelation rise as the system loses resilience. This conjecture applies those signals to Maya epigraphy. The Classic Maya katun-ending dedication network was a…

Joins Maya vase literacy to the sociology of workshop imitation: the Primary Standard Sequence — the dedication formula rimming elite drinking vessels — was ordered, slotted, and rhythmic, and patrons wanted its look even from painters who could not read. If pseudo-glyph…

Connects Nahuatl verbal art's signature device — the difrasismo, a fixed semantic couplet such as in atl in tepetl for city — to the differential survivability of oral genres under alphabetic transcription: formal oratory (huehuetlahtolli) was memorized performance in which coupling was…

Maya polychrome cylinders pose a closed-loop composition problem, and workshop painters solved it the way a tailor does: by giving the garment a seam and placing it at the back. Because these vessels were presented and used along a principal viewing axis…

The Primary Standard Sequence on Maya vases is a fixed dedicatory formula fitted onto rims of very different circumferences; if the band was planned like piecework lettering against available length, abbreviation should be hierarchical rather than ad hoc, dropping the same expendable…

Mixtec screenfold painters worked along red guide-lined boustrophedon registers laid out before painting. If composition ran on a short planning horizon, spacing should compress as the painter approaches each register turn — the same crowding-at-the-end signature papyrologists read in line justification —…

Whether Maya codex production divided glyphic and pictorial labour is unresolved. The conjecture: it did not — each glyphically identified scribal hand painted its own deity images, so a hand's iconographic micro-habits (the drawing of God B's eye, ear-ornament forms, foot rendering)…