mlsanityData to 7 Oct 2026

DynaSolidGeo: A Dynamic Benchmark for Genuine Spatial Mathematical Reasoning of VLMs in Solid Geometry

arXiv 2510.22340 ↗First posted 25 Oct 2025cs.AI cs.CL cs.CVcited by 1

On the map: LLM reasoning → Spatial and embodied reasoning

Abstract (arXiv)

Solid geometry problem solving demands spatial mathematical reasoning that integrates spatial intelligence and symbolic reasoning. However, most existing multimodal mathematical reasoning benchmarks focus primarily on 2D plane geometry, rely on static datasets prone to data contamination and memorization, and evaluate models solely by final answers, overlooking the reasoning process. To address these limitations, we introduce DynaSolidGeo, the first dynamic benchmark for evaluating genuine spatial reasoning in Vision-Language Models (VLMs). Constructed through a semi-automatic annotation pipeline, DynaSolidGeo contains 503 expert-curated seed questions that can, in principle, dynamically generate an unbounded number of diverse multimodal text-visual instances. Beyond answer accuracy, we incorporate process evaluation based on expert-annotated reasoning chains to measure logical validity and causal coherence. Experiments across representative open-source and closed-source VLMs reveal large performance gaps, severe degradation in dynamic settings, and poor performance on tasks requiring high-level spatial intelligence, such as mental rotation and visualization. The code and dataset are available at hrefhttps://zgca-ai4edu.github.io/DynaSolidGeo/DynaSolidGeo.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Placed in Spatial and embodied reasoning, one of 17 directions in LLM reasoning. Builds on 41 of its 66 references that are in the map. First posted on arXiv 25 Oct 2025.

Builds on

41 of 66 references.

Closest ancestors · 10

Same direction, newest first

  1. 2025GeoVLMath: Enhancing Geometry Reasoning in Vision-Language Models via Cross-Modal Reward for Auxiliary Line Creation13 Oct
  2. 2025Euclid's Gift: Enhancing Spatial Perception and Reasoning in Vision-Language Models via Geometric Surrogate Tasks29 Sep
  3. 2025GeoSketch: A Neural-Symbolic Approach to Geometric Multimodal Reasoning with Auxiliary Line Construction and Affine Transformation26 Sep
  4. 2025Why Do MLLMs Struggle with Spatial Understanding? A Systematic Analysis from Data to Architecture2 Sep
  5. 2025A Survey of Deep Learning for Geometry Problem Solving16 Jul
  6. 2025GeometryZero: Advancing Geometry Solving via Group Contrastive Policy Optimization8 Jun
  7. 2025Towards Geometry Problem Solving in the Large Model Era: A Survey3 Jun
  8. 2025TrustGeoGen: Formal-Verified Data Engine for Trustworthy Multi-modal Geometric Problem Solving22 Apr
  9. 2025GeoSense: Evaluating Identification and Application of Geometric Principles in Multimodal Reasoning17 Apr
  10. 2023A Multi-Modal Neural Geometric Solver with Textual Clauses Parsed from Diagram22 Feb

Other references · 31

  1. 2025Qwen3 Technical Reportcited by 8,195
  2. 2025Qwen2.5-VL Technical Reportcited by 5,418
  3. 2025Gemini 2.5: Pushing the Frontier with Advanced Reasoning, Multimodality, Long Context, and Next Generation Agentic Capabilitiescited by 3,655
  4. 2024LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Codecited by 1,906
  5. 2025InternVL3: Exploring Advanced Training and Test-Time Recipes for Open-Source Multimodal Modelscited by 1,769
  6. 2023MathVista: Evaluating Mathematical Reasoning of Foundation Models in Visual Contextscited by 1,582
  7. 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,099
  8. 2024DeepSeek-VL2: Mixture-of-Experts Vision-Language Models for Advanced Multimodal Understandingcited by 559
  9. 2021Inter-GPS: Interpretable Geometry Problem Solving with Formal Language and Symbolic Reasoningcited by 376
  10. 2024LiveBench: A Challenging, Contamination-Limited LLM Benchmarkcited by 242
  11. 2022Data Contamination: From Memorization to Exploitationcited by 234
  12. 2025LLaVA-OneVision-1.5: Fully Open Framework for Democratized Multimodal Trainingcited by 233
19 more
  1. 2021GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoningcited by 224
  2. 2024DynaMath: A Dynamic Visual Benchmark for Evaluating Mathematical Reasoning Robustness of Vision Language Modelscited by 143
  3. 2023Investigating Data Contamination in Modern Benchmarks for Large Language Modelscited by 136
  4. 2025LiveCodeBench Pro: How Do Olympiad Medalists Judge LLMs in Competitive Programming?cited by 52
  5. 2023An Open Source Data Contamination Report for Large Language Modelscited by 47
  6. 2024GeoEval: Benchmark for Evaluating LLMs and Multi-Modal Models on Geometry Problem-Solvingcited by 44
  7. 2024AntiLeakBench: Preventing Data Contamination by Automatically Constructing Benchmarks with Updated Real-World Knowledgecited by 42
  8. 2024MMLU-CF: A Contamination-free Multi-task Language Understanding Benchmarkcited by 41
  9. 2025Recent Advances in Large Langauge Model Benchmarks against Data Contamination: From Static to Dynamic Evaluationcited by 38
  10. 2025CapRL: Stimulating Dense Image Caption Capabilities via Reinforcement Learningcited by 36
  11. 2025A Survey on Data Contamination for Large Language Modelscited by 33
  12. 2024GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-trainingcited by 23
  13. 2025Defining and Evaluating Visual Language Models' Basic Spatial Abilities: A Perspective from Psychometricscited by 21
  14. 2025DSI-Bench: A Benchmark for Dynamic Spatial Intelligencecited by 20
  15. 2025SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometrycited by 16
  16. 2025On The Fragility of Benchmark Contamination Detection in Reasoning Modelscited by 8
  17. 2025Do Large Language Models Truly Understand Geometric Structures?cited by 7
  18. 2025GeoLaux: A Benchmark for Evaluating MLLMs' Geometry Performance on Long-Step Problems Requiring Auxiliary Linescited by 6
  19. 2025Detecting Data Contamination from Reinforcement Learning Post-training for Large Language Modelscited by 4

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 1.

1 paper.

Similar, not cited

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  1. 2026Thinking in Structures: Evaluating Spatial Intelligence in Constraint-Governed Spaces
  2. 2025GeoBench: Rethinking Multimodal Geometric Problem-Solving via Hierarchical Evaluation
  3. 2025Ascending the Infinite Ladder: Benchmarking Spatial Deformation Reasoning in Vision-Language Models
  4. 2025GeoThought: A Dataset for Enhancing Mathematical Geometry Reasoning in Vision-Language Models
  5. 2023GeomVerse: A Systematic Evaluation of Large Models for Geometric Reasoning
  6. 2026Do MLLMs Really Understand Space? A Mathematical Reasoning Evaluation
  7. 2025Scaling and Beyond: Advancing Spatial Reasoning in MLLMs Requires New Recipes
  8. 2025Mind the Gap: Benchmarking Spatial Reasoning in Vision-Language Models