ORIGAMISPACE: Benchmarking Multimodal LLMs in Multi-Step Spatial Reasoning with Mathematical Constraints

Fuente: arXiv
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Main Authors: Xu, Rui, Lu, Dakuan, Zhao, Zicheng, Tan, Xiaoyu, Wang, Xintao, Yuan, Siyu, Chen, Jiangjie, Xu, Yinghui
Format: Preprint
Published: 2025
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author Xu, Rui
Lu, Dakuan
Zhao, Zicheng
Tan, Xiaoyu
Wang, Xintao
Yuan, Siyu
Chen, Jiangjie
Xu, Yinghui
author_facet Xu, Rui
Lu, Dakuan
Zhao, Zicheng
Tan, Xiaoyu
Wang, Xintao
Yuan, Siyu
Chen, Jiangjie
Xu, Yinghui
contents Spatial reasoning is a key capability in the field of artificial intelligence, especially crucial in areas such as robotics, computer vision, and natural language understanding. However, evaluating the ability of multimodal large language models(MLLMs) in complex spatial reasoning still faces challenges, particularly in scenarios requiring multi-step reasoning and precise mathematical constraints. This paper introduces ORIGAMISPACE, a new dataset and benchmark designed to evaluate the multi-step spatial reasoning ability and the capacity to handle mathematical constraints of MLLMs through origami tasks. The dataset contains 350 data instances,each comprising a strictly formatted crease pattern (CP diagram), the Compiled Flat Pattern, the complete Folding Process, and the final Folded Shape Image. We propose four evaluation tasks: Pattern Prediction, Multi-step Spatial Reasoning, Spatial Relationship Prediction, and End-to-End CP Code Generation. For the CP code generation task, we design an interactive environment and explore the possibility of using reinforcement learning methods to train MLLMs. Through experiments on existing MLLMs, we initially reveal the strengths and weaknesses of these models in handling complex spatial reasoning tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2511_18450
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle ORIGAMISPACE: Benchmarking Multimodal LLMs in Multi-Step Spatial Reasoning with Mathematical Constraints
Xu, Rui
Lu, Dakuan
Zhao, Zicheng
Tan, Xiaoyu
Wang, Xintao
Yuan, Siyu
Chen, Jiangjie
Xu, Yinghui
Artificial Intelligence
Spatial reasoning is a key capability in the field of artificial intelligence, especially crucial in areas such as robotics, computer vision, and natural language understanding. However, evaluating the ability of multimodal large language models(MLLMs) in complex spatial reasoning still faces challenges, particularly in scenarios requiring multi-step reasoning and precise mathematical constraints. This paper introduces ORIGAMISPACE, a new dataset and benchmark designed to evaluate the multi-step spatial reasoning ability and the capacity to handle mathematical constraints of MLLMs through origami tasks. The dataset contains 350 data instances,each comprising a strictly formatted crease pattern (CP diagram), the Compiled Flat Pattern, the complete Folding Process, and the final Folded Shape Image. We propose four evaluation tasks: Pattern Prediction, Multi-step Spatial Reasoning, Spatial Relationship Prediction, and End-to-End CP Code Generation. For the CP code generation task, we design an interactive environment and explore the possibility of using reinforcement learning methods to train MLLMs. Through experiments on existing MLLMs, we initially reveal the strengths and weaknesses of these models in handling complex spatial reasoning tasks.
title ORIGAMISPACE: Benchmarking Multimodal LLMs in Multi-Step Spatial Reasoning with Mathematical Constraints
topic Artificial Intelligence
url https://arxiv.org/abs/2511.18450