Rectangles versus Isosceles Triangles in Lattice Sets
Can a finite set of lattice points determine many rectangles but few isosceles triangles? Both parts of the governing question have negative answers, quantified by explicit blowup rates, and the resulting configurations give obstructions in the Mizohata-Takeuchi circle of problems.
Exact FrontierDelta
Scope and record
Occurred: Jun 29, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.
Canonical aliases: Rectangles versus Isosceles Triangles in Lattice Sets · Rectangles and triangles
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
ChatGPT 5.5 Pro
model · ai model contributor · OpenAI
Jonathan Bennett
human · human collaborator
Vjekoslav Kovac
human · human collaborator
Shohei Nakamura
human · human collaborator
Itamar Oliveira
human · human collaborator
Lineage and corrections
This event attributed to Jonathan Bennett
This event attributed to Vjekoslav Kovac
This event attributed to Shohei Nakamura
This event attributed to Itamar Oliveira
This event attributed to ChatGPT 5.5 Pro