Optimal Vector Balancing for Zonotopes
For every zonotope $Z \subset \mathbb{R}^d$ and vectors $v_1,\ldots,v_n \in Z$, there are signs with $\sum_i x_i v_i \in C\sqrt{d}\,Z$ for a universal constant $C$. This resolves a 2002 conjecture on vector balancing in zonotopes.
Exact FrontierDelta
Scope and record
Occurred: May 22, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-assisted. Imported under CC BY 4.0.
Canonical aliases: Optimal Vector Balancing for Zonotopes · Zonotope balancing
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Victor Reis
human · human collaborator
GPT-5.5 Pro
model · ai model contributor · OpenAI
Lineage and corrections
This event attributed to Victor Reis
This event attributed to GPT-5.5 Pro