One Thousand and One Conjectures

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…

Joins web-graph topology to hadith science: when Broder and colleagues mapped the early web, they found a bowtie — a small strongly-connected core through which most hyperlink paths route. This conjecture claims the isnad network of the canonical hadith collections has the…

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…

This connects two transmission systems that used the same certificate instrument, the ijaza, to opposite network topologies. A hadith ijaza cost an afternoon of audition, so students accumulated links by the hundred and the network is a dense mesh. A calligraphy ijaza…

In the Palaiologan period, Greek scholars adapted Persian and Islamic astronomical tables — a famous east-to-west transfer. This conjecture says the transfer moved in diplomatic luggage: each Greek adaptation clusters within a generation after a documented Byzantine embassy to or from the…

West African languages first took Arabic script — the practice called Ajami — not, on this conjecture, as free-standing literature but as classroom apparatus: interlinear glosses translating the hard words of Arabic law and grammar texts for students in the teaching circle.…

Timbuktu and Djenné sit on the same river system a few hundred kilometres apart, yet this conjecture claims their manuscript cultures are structurally different regimes: Timbuktu's collections formed around scholarly lineages and commercial book production, while Djenné's — as revealed when digitization…

Sexagesimal digits were written in Arabic abjad letter-numerals, in Hindu-Arabic ciphers, and in various Latin conventions, and each system has its own characteristic confusions — which letter melts into which when a diacritic drops, which cipher flips into which under a tired…

Provençal and Iberian Hebrew astronomical tables and neighbouring Latin tables drew on the same Andalusi Arabic heritage. The surprising connection is that the Hebrew line functioned as a parameter refrigerator: it preserved Andalusi parameter vintages in working circulation for a century or…