Unit-Area Triangles in Planar Sets of Large Measure
How large can a measurable $A \subseteq [0,R]^2$ be while avoiding the vertices of upward-oriented axis-aligned right triangles of area $1/2$? At most $O_c(R^2/(\log R)^c)$, with a matching-shaped lower bound construction.
Exact FrontierDelta
Scope and record
Occurred: May 28, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.
Canonical aliases: Unit-Area Triangles in Planar Sets of Large Measure · Hyperbolic corners
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Aleksandar Bulj
human · human collaborator
Vjekoslav Kovac
human · human collaborator
ChatGPT 5.4 Pro
model · ai model contributor · OpenAI / Google
Gemini 3.1 Pro
model · ai model contributor · OpenAI / Google
Lineage and corrections
This event attributed to Aleksandar Bulj
This event attributed to Vjekoslav Kovac
This event attributed to ChatGPT 5.4 Pro
This event attributed to Gemini 3.1 Pro