3 papers
cs.CG2026
Apple-Peel Unfolding in Three and Four Dimensions: Spiral and Zonal Selection Rules
Takashi Yoshino, Supanut Chaidee
Apple-Peel Unfolding is a greedy algorithm that selects the faces (or cells) of a polyhedron (or polytope) one at a time in a spiral order, producing a net analogous to peeling an…
cs.CG2026
Spherical Geometrical Bases of Spherical Origami
Takashi Yoshino
This paper establishes a rigorous geometrical framework for spherical origami, origami using spherical sheets based on spherical geometry. Two settings are treated: origami restric…
cs.CG2026
Apple Peel Unfolding of Archimedean and Catalan Solids
Takashi Yoshino, Supanut Chaidee
We consider a new treatment for making polyhedron nets referred to as ``apple peel unfolding'': drawing the nets as if we were peeling off appleskins. We define apple peel unfoldin…