MSC 51/52 · Geometry

Geometry: classical, convex & discrete

Packings, polytopes, lattice arrangements — the Kepler conjecture on stacking spheres.

Founded: 1611 — Kepler's sphere-packing conjecture, posed after Raleigh asked Harriot about stacking cannonballs — a genuinely practical origin

The claim

No credible dismissal found. Despite the field's long unresolved-curiosity reputation.

What happened

Coding theory (Leech lattice) (1965) — Ties to the binary Golay code, used in Voyager's deep-space communication.
Lattice-based post-quantum cryptography (2005) — Regev's LWE and NTRU underlie NIST's finalized post-quantum standards.

354 years — a practical 1611 origin, then centuries of pure dormancy, before an unrelated application (coding theory) emerged

Verdict: Mixed / doesn't fit cleanly.

Doesn't fit the clean categories: never dismissed, and the eventual application is strong — but it arrived only after a genuinely multi-century gap, not “early.”

Confidence: high.