2018
CLM-000184L ≥ 5CONSTRUCTION / LOWER BOUNDde Grey, 2018Evidence: original paper
SOURCE CONFIRMED
Limits RegistryPUBLIC RECORDLimits RegistryPUBLIC RECORDLimits RegistryPUBLIC RECORD
Limits RegistryThe greatest fraction of 8-dimensional space fillable by non-overlapping equal spheres.
The question, scope, and sources behind this Registry record.
The greatest fraction of 8-dimensional space fillable by non-overlapping equal spheres.
The greatest fraction of 8-dimensional space fillable by non-overlapping equal spheres.
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Current frontiers derived from accepted Claims.
The frontier is not sacred
Most progress starts with a disagreement that survives contact with evidence. If you can push the known lower bound up or pull the upper bound down, show us the work.
≥ when you have shown that at least this value is achievable.≤ when you have shown that anything above this value is impossible.No vibes. State the value, define the scope, and link the paper, proof, code, or reproduction that lets another person check it. Editors review every challenge before the public record changes.
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The frontier as it changed over time.
Only accepted Claims matching the current specification contribute to the displayed bounds. Strict inequalities remain open; contradictory Claims require editorial review.
2 independent reviews completed. Current frontier accepted May 12, 2025.
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Limits Registry. LR-000141. Sphere packing density in 8 dimensions. 2026.