DiagramAgent/Geoint

Dataset Summary

Geoint is a comprehensive benchmark dataset explicitly designed for formal geometric problemsolving. Geoint encompasses 1,885 carefully curated geometric questions across diverse categories including plane, spatial, and solid geometry problems. Each problem is richly annotated with both structured textual descriptions and accompanying visual diagrams to support multimodal understanding. Furthermore, Geoint leverages the Lean 4 proof assistant to formally represent geometric elements and relationships, enabling rigorous and complete formal reasoning within a verifiable framework.

You can load the dataset using:

from datasets import load_dataset

dataset = load_dataset("your-username/Geoint", split="train")

Data Fields

Field	Type	Description
id	string	Unique identifier for each problem
question	string	Text description of the geometric problem
response	string	Solution text and its corresponding Lean 4 code
question_type	string	Problem type: Free or Proof
assistant_line	bool	Whether auxiliary lines are needed for solving
question_image	binary	Problem diagram image (PNG format)
assistant_image	binary or None	Image with auxiliary lines (PNG format)

Citation Information

Please consider citing our paper if you find this dataset useful:

@misc{wei2025geointr1formalizingmultimodalgeometric,
      title={Geoint-R1: Formalizing Multimodal Geometric Reasoning with Dynamic Auxiliary Constructions}, 
      author={Jingxuan Wei and Caijun Jia and Qi Chen and Honghao He and Linzhuang Sun and Conghui He and Lijun Wu and Bihui Yu and Cheng Tan},
      year={2025},
      eprint={2508.03173},
      archivePrefix={arXiv},
      primaryClass={cs.AI},
      url={https://arxiv.org/abs/2508.03173}, 
}