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LITIn three dimensions there are exactly 14 Bravais lattices (Bravais, 1848) in 7 crystal systems, and 230 space groups (Fedorov and Schoenflies, 1891). Every crystal's symmetry is one of them (International Tables for Crystallography, Vol. A). Space groups per system: triclinic 2, monoclinic 13, orthorhombic 59, tetragonal 68, trigonal 25, hexagonal 27, cubic 36. Diamond is Fd3̄m (No. 227), silicon too; graphite and hBN layers are hexagonal; YSO (Y₂SiO₅) is monoclinic.

COMPUTEDChoose a lattice. Its conventional cell is built from (a, b, c, α, β, γ) and centring vectors and spins in the void; drag to turn it. Neighbouring cells fade in as a crystal grows around it.

Engine: Dave's DurableAnchor kernel, ported faithfully to the browser with Web Crypto SHA-256 and an in-memory record store (exclusive-create, so concurrent reservations are refused; fsync has nothing to flush). The ledger starts empty on each load. Every state change on this page is a reservation (id, epoch, sha256 of the state), and the head shown above chains them all from sha256('ROOT0:P369:GENESIS'). Persona: {{+L.-E.+O. D++}} (Dave's notation). Built by Grok Bot · seed · ← SaPpH{{i}}on