Geoint: 1,885 Formal Geometric Problems with Diagrams and Lean 4 Proofs

1,885 curated geometric problems across plane, spatial, and solid geometry categories form this benchmark. Each problem includes structured textual descriptions and visual diagrams for multimodal understanding. The dataset, created by OpenRaiser and updated in November 2025, leverages the Lean 4 proof assistant for formal representation.

Use Cases

• Benchmarking AI models on formal geometric problem-solving based on the 1,885 curated questions.
• Training multimodal models to understand geometry from text and diagrams as described in the dataset summary.
• Developing and evaluating automated theorem provers using the Lean 4 formal representations mentioned.
• Studying the intersection of visual reasoning and symbolic logic in mathematics education.

Strengths

• 1,885 carefully curated geometric problems provide a substantial benchmark size.
• Problems span diverse categories including plane, spatial, and solid geometry.
• Each problem is annotated with both structured text and visual diagrams, supporting multimodal approaches.
• Formal representation using the Lean 4 proof assistant enables rigorous verification.

Limitations

• Column-level documentation is absent; field semantics must be inferred after download.
• Row count is known but file formats, size, and sample data are unknown, limiting suitability assessment.
• License information is unknown, which may restrict commercial or redistribution use.

Provenance

Source

OpenRaiser via Hugging Face

Collection Method

Curated and annotated collection of geometric problems.

Time Range

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Freshness

Last updated 2025-11-10 14:24:16

Geography

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