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Augeo Geometry Problems Dataset

Dataset Description

This dataset contains geometry problems annotated by multiple contributors, featuring both Japanese problem statements and their solutions. Each problem may include visual diagrams (as images) and TikZ code for geometric constructions.

Dataset Summary

  • Total Examples: 122
  • Languages: Japanese
  • Task: Geometry problem solving with visual reasoning
  • Annotators: Multiple human annotators (kinmokusei, aonagi, con-malinconia, Metachick)

Dataset Structure

Data Fields

  • id: Unique identifier for each problem
  • annotator: Name of the person who annotated the problem
  • problem_id: Problem number within each annotator's set
  • question: The geometry problem statement (in Japanese)
  • answer: Detailed solution explanation (in Japanese)
  • answer_value: The final numerical or symbolic answer
  • tags: List of tags describing problem topics/techniques
  • difficulty: Difficulty level of the problem
  • remark: Additional notes or comments
  • question_image: Diagram for the problem (PNG/JPG image)
  • answer_image: Diagram for the solution (PNG/JPG image)
  • question_tikz: TikZ code for the problem diagram
  • answer_tikz: TikZ code for the solution diagram

Data Splits

The dataset contains all data in a single split:

Split Number of Examples
All 122

Usage

from datasets import load_dataset

# Load the dataset
dataset = load_dataset("Silviase/augeo-ja")

# Access the data
data = dataset['all']

# Example: Get the first problem
first_problem = data[0]
print(f"Question: {first_problem['question']}")
print(f"Answer: {first_problem['answer_value']}")

Dataset Creation

Annotation Process

The dataset was created by multiple annotators who:

  1. Created or collected geometry problems
  2. Provided detailed solutions with step-by-step explanations
  3. Created visual diagrams for problems and solutions
  4. Tagged problems with relevant mathematical concepts
  5. Assigned difficulty levels

Source Data

The problems cover various geometry topics including:

  • Triangle properties and theorems
  • Circle theorems
  • Coordinate geometry
  • Transformations
  • Area and volume calculations
  • Classical geometry constructions

Considerations for Using the Data

Limitations

  • The dataset is primarily in Japanese
  • Some problems may require advanced mathematical knowledge
  • Image quality and format may vary between annotators
  • Not all problems have both question and answer diagrams

Recommendations

  • For visual reasoning tasks, filter for problems with images
  • For symbolic reasoning, use problems with TikZ code
  • Consider difficulty levels when selecting problems for specific applications

Additional Information

Licensing Information

This dataset is released under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.

Citation Information

If you use this dataset, please cite:

@dataset{augeo_geometry2024,
  title={Augeo Geometry Problems Dataset},
  author={Multiple Contributors},
  year={2024},
  publisher={HuggingFace}
}

Contributions

Thanks to all the annotators who contributed to this dataset:

  • kinmokusei
  • aonagi
  • con-malinconia
  • Metachick
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