One Thousand and One Conjectures

An astrolabe only works at the latitude its plate is engraved for, so every surviving instrument silently records where its maker expected it to be used. That turns the corpus of surviving astrolabes into medieval market-research data: the set of latitudes engraved…

The modern capital campaign — where a museum or university secures a headline anchor gift or star acquisition just before asking everyone else for money — is here read back into the medieval church. Relic translations, the ceremonial installation of a saint's…

The Polya urn — the classic mathematical model of path dependence, in which each ball drawn adds another of its color so that early luck compounds forever — is here applied to the medieval pilgrimage market. Pilgrims bought cheap metal badges at…

Gothic churches were built in successive campaigns over decades, and masons could watch how earlier bays and earlier buildings cracked, leaned, or stood. Modern limit analysis can compute, for any buttress geometry, how far it sits from the thrust-line optimum — the…

This joins Gothic cathedral construction to the economics of competitive escalation — the same arms-race dynamics seen in armament races and advertising wars. A cathedral's height was a prestige signal aimed at specific rivals, and the relevant rivals were local: the sees…

This joins medieval craft practice to modern acoustics. An organ builder must decide how pipe diameter should vary with pipe length across a rank — too narrow and the trebles turn thin and stringy, too wide and the basses go dull —…

This joins historical linguistics to campanology. Dialectologists map isoglosses — the boundary lines where one regional speech feature gives way to another — and those lines famously follow the channels of contact: rivers, roads, trade routes. Bell founding, the conjecture claims, worked…

This joins Viking shipbuilding to modern fracture mechanics. A clinker hull is a shell of overlapping oak planks, and its worst enemy is a running split: a crack that starts at a fastening and propagates along the grain. Fracture mechanics says such…

This joins medieval pilgrimage history to tribology, the physics of wear. Every pilgrim who crossed a church threshold removed a microscopic layer of stone, and centuries of feet turned steps into shallow basins; the missing volume is a footfall counter that no…

This joins medieval fiscal instruments to information theory. An Exchequer tally was a wooden stick notched with a debt's value and then split lengthwise, creditor and debtor each keeping half; the split's matching grain already authenticated the pair. The conjecture claims the…

This joins medieval church archaeology to geomagnetism. Churches were meant to face east, yet surveyed orientations scatter by several degrees, and the scatter is usually written off as sloppy surveying. But once the magnetic compass entered the building trades — plausibly around…

The Swahili stone towns of the East African coast — Kilwa above all — were built of coral rag set in lime mortar, and construction there was governed by the monsoon: the rains halt building and lime-burning, so work proceeds in an…

RT60 — the time a sound takes to decay by sixty decibels — is the basic figure of architectural acoustics, and a great stone nave can hold a note for many seconds; a fast syllabic melody blurs into mud in such a…

The Norse thing — the open-air assembly at which law was recited, cases were pled and decisions proclaimed — was above all an exercise in unamplified speech before a crowd, and sites like Thingvellir have long invited the suspicion that their cliffs…

Muqarnas — the honeycomb vaulting of Islamic architecture, thousands of small stepped niches filling domes and squinches — is usually read as pure geometry made ornament. But a surface of many differently sized and angled cells is exactly what a modern acoustician…

Medieval masons cut personal marks into the blocks they dressed — piece-work signatures for the paymaster — and a cathedral wall therefore carries, frozen in stone, a record of who cut what. Work organisation leaves statistical fingerprints: if masons produced blocks in…

The deep blue of medieval stained glass comes from cobalt, and medieval Europe mined very little of it: the colorant travelled along long-distance routes whose ultimate sources lay far to the east. Every ore body carries a trace-element fingerprint — the ratios…

Joins process-engineering labor accounting to Viking naval history. Tally the person-hours in a longship and the surprise is that the hull is the cheap part: replication labor budgets show a large woolen sail — the wool sorted, spun thread by thread, woven,…

Joins the cognitive psychology of recall to the stemmatics of oral law. The serial-position curve is among psychology's oldest findings: in reproducing a fixed sequence, people hold the beginning and end best and blur the middle. Iceland's law was exactly such a…

Joins experience-curve economics to Islamic mathematical geography. In manufacturing, quality improves as a power law of cumulative output — the experience curve — because every unit produced teaches its producers. Every mosque is such a unit: it must face Mecca, its measurable…

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…

The contents-statistics of Cave 17 should betray the ritual economics of sacred waste. Sacred text cannot be discarded like paper: damaged or superseded scripture requires reverent deposit, while secular paper is simply reused until it disappears. If the cave functioned even partly…

Bibliographers use the block-carvers' names cut into margin strips merely to date and localize editions; read the same names as careers and they become labor-market data. Official printing projects paid better and audited harder, and recruited proven hands from the commercial sector…

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…

Pattern sheets travelled as outline drawings with colour given verbally — the Göttingen Model Book literally writes out its recipes — while copying from a finished exemplar transmits paint by eye but forces a freehand redraw. Two transmission channels, opposite bandwidths: model-book…

Insular interlace obeys strict under-over alternation, and its rare violations are treated as random lapses. The conjecture: the slips are structural — they concentrate where the drawing process broke off, at panel joins, pigment-field boundaries, and day-work seams — so error positions…

Romanesque corbel tables read as carnivalesque miscellany, but carving proceeded bay by bay from scaffolds, one carver working consecutive blocks with whatever type he was fluent in that week. Subject types should therefore show strong serial autocorrelation around the eaves — runs…

Gothic Passion diptychs were serial products of Parisian workshops. If scene selection were devotionally bespoke, observed combinations would spread across the combinatorial space of available scenes; if workshop-standardized, they collapse into a few fixed menus, and menu identity should track workshop groups…

Ornament in stained glass — border types, diaper grounds, grisaille foliage — is studied inside glass scholarship, but glaziers stocked their cartoon chests from painters' books. Ornament families should therefore appear in dated manuscripts before dated glass of the same region, with…

Sheets and scrolls of stamped Buddhas look like space-filling repetition, but the devotional act was arithmetic: vows specified counts. If the count, not the sheet, was the unit of work, totals should cluster at canonical numbers and their multiples, and completed items…

At Dunhuang, painted banners and woodblock prints of the same deities circulated in the same decades. Prints from one matrix are identical trivially; the conjecture is cross-matrix: variance across different woodblocks of one deity should still be far below painted variance, because…