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  • https://doi.org/10.1109/aixvr67263.2026.00071Copy DOI Icon

AR-Based Spatial Figure Learning with Tangible Vertex Markers on a Wireframe Cube

  • Jan 26, 2026
  • Kei Tsukahara +1 more
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Abstract

We present a learning-support system that integrates physical three-dimensional models with augmented reality (AR) to facilitate the acquisition of spatial-figure concepts. The system is implemented on an iPad, which functions as both input and output device. Following instructions displayed on the screen, users mentally construct the spatial figure that satisfies a displayed problem and then place vertex markers along the edges of a physical cube model. The iPad's rear camera tracks these markers, and the system superimposes the user-defined spatial figure onto the model in real-time AR, enabling the learner to examine the figure from multiple viewpoints. While interacting with the system, data-including responses, completion times, and pre- and post-task questionnaire scores-are recorded. These data are subsequently analyzed to evaluate learning outcomes and to inform iterative refinement of instructional content and exhibit design. An evaluation experiment was conducted at a university festival. Nineteen participants completed questionnaires assessing ease of use, perceived effectiveness for learning spatial figures, and interest. The results indicated generally positive evaluations. Although the system did not yield immediate, statistically significant learning gains-likely due to operational difficulty and the inherent challenge of the material-the integration of AR with tangible models appears promising for stimulating learner engagement in the comprehension of spatial figures.

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