Reproduce “Large-Scale Autonomous Discovery of Kissing Number Constructions” on OpenResearch

Turn your favorite coding agents into research agents that review literature, develop hypotheses, and run experiments.

Universal app for Apple silicon and Intel. Requires macOS 11 or later.

About this paper

Shuxing Yang, Rui Zhao, Junyao Wu, Yize Wang, Fujia Chen, Kaihao Zhu, Wenhao Li, Zichen Li and 8 more

Qiushi Engine helped develop kissing-number lower bounds through constructions that change the problem’s representation when a fixed arrangement hides usable freedom. In dimension 25, a coordinated motion preserves the internal products of 552 points and makes room for one additional point. The resulting 197,580-point construction exceeds the paper’s comparison by one; it is a lower bound, not an optimality result.

Summary by alphaXiv.

Tip: change arxiv.org to autoarxiv.org in any arXiv abstract link to open the paper here.