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Viazovska: sphere packing in eight dimensions

Contribution grade

Discrete geometry · Scoped scientific or research-capability contribution

Reference score90,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

The E8 lattice attains the greatest sphere-packing density in eight-dimensional Euclidean space.

Scientific scope

The E8 lattice attains the greatest sphere-packing density in eight-dimensional Euclidean space. Scope limitation: The eight-dimensional result does not establish optimality in arbitrary dimensions.

Evidence

Assessment uses the catalogue-linked source evidence for the stated contribution. The eight-dimensional result does not establish optimality in arbitrary dimensions.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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