MindFold3D: Topology-Guaranteed Generation and Bidirectional Cognitive-Geometric Mapping of Voxel Stimuli for Spatial-Cognition Games
Abstract
Games designed to assess or train spatial cognition need unlimited stimuli with known, controlled properties. Procedural content generation promises this, but ordinary generators cannot guarantee such properties. We present MindFold3D, a spatial-cognition game whose platform-agnostic engine generates voxel stimuli under a topological guarantee. The number of volumetric holes in every shape, which grounds its topological tiers, is enforced by construction plus per-shape validation. Ring templates reserve each hole as inviolable empty space while varying tunnel orientation, aperture shape, and depth, and a certification step computes the first Betti number directly, regenerating nonconforming shapes. A bidirectional cognitive–geometric mapping steers five more difficulty features and labels every shape by measured geometry. Across two studies, the Betti number was exact in all 5,000 shapes, tier fidelity was 99.7%, and first-pass acceptance was 92–100%. The system ships as a tagged public repository. Tiers are geometric design targets awaiting human calibration.
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BibTeX
@misc{hwang2026mindfold3d,
title = {{MindFold3D: Topology-Guaranteed Generation and Bidirectional Cognitive-Geometric Mapping of Voxel Stimuli for Spatial-Cognition Games}},
author = {Scott Hwang and Parviz Safadel},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23407955},
url = {https://zenodo.org/records/23407955},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - MindFold3D: Topology-Guaranteed Generation and Bidirectional Cognitive-Geometric Mapping of Voxel Stimuli for Spatial-Cognition Games
AU - Scott Hwang
AU - Parviz Safadel
PY - 2026
DA - 2026/10/16
PB - Zenodo
DO - 10.5281/zenodo.23407955
UR - https://zenodo.org/records/23407955
AB - Games designed to assess or train spatial cognition need unlimited stimuli with known, controlled properties. Procedural content generation promises this, but ordinary generators cannot guarantee such properties. We present MindFold3D, a spatial-cognition game whose platform-agnostic engine generates voxel stimuli under a topological guarantee. The number of volumetric holes in every shape, which grounds its topological tiers, is enforced by construction plus per-shape validation. Ring templates reserve each hole as inviolable empty space while varying tunnel orientation, aperture shape, and depth, and a certification step computes the first Betti number directly, regenerating nonconforming shapes. A bidirectional cognitive–geometric mapping steers five more difficulty features and labels every shape by measured geometry. Across two studies, the Betti number was exact in all 5,000 shapes, tier fidelity was 99.7%, and first-pass acceptance was 92–100%. The system ships as a tagged public repository. Tiers are geometric design targets awaiting human calibration.
ER -