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  "path": "/abs/2605.01184v1",
  "publishedAt": "2026-05-05T00:00:00.000Z",
  "site": "https://arxiv.org",
  "tags": [
    "Takashi Yoshino"
  ],
  "textContent": "**Authors:** Takashi Yoshino\n\nThis paper establishes a rigorous geometrical framework for spherical origami, origami using spherical sheets based on spherical geometry. Two settings are treated: origami restricted to the unit sphere ($\\mathbb{S}^2$), and three-dimensional folding of spherical sheets in space. For origami on $\\mathbb{S}^2$, the definitions of Euclidean origami are systematically extended to the spherical setting, and all seven Huzita--Justin axioms are shown to admit explicit equations in spherical geometry. For three-dimensional folding, equidistant curves are introduced as fold curves, replacing geodesics and enabling a richer family of folds. The framework is validated by successfully constructing computer graphics of spherical origami birds, demonstrating both the theoretical completeness and practical utility of the proposed approach.",
  "title": "Spherical Geometrical Bases of Spherical Origami"
}