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- W2547304849 abstract "We show that every orthogonal polyhedron of genus $$g le 2$$ can be unfolded without overlap while using only a linear number of orthogonal cuts (parallel to the polyhedron edges). This is the first result on unfolding general orthogonal polyhedra beyond genus-0. Our unfolding algorithm relies on the existence of at most 2 special leaves in what we call the “unfolding tree” (which ties back to the genus), so unfolding polyhedra of genus 3 and beyond requires new techniques." @default.
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- W2547304849 date "2017-09-01" @default.
- W2547304849 modified "2023-10-06" @default.
- W2547304849 title "Unfolding Genus-2 Orthogonal Polyhedra with Linear Refinement" @default.
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- W2547304849 doi "https://doi.org/10.1007/s00373-017-1849-5" @default.
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