Unfolding Some Classes of One-Layer Polycubes

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10510044" target="_blank" >RIV/00216208:11320/22:10510044 - isvavai.cz</a>

Výsledek na webu

<a href="https://cccg.ca/proceedings/2022/CCCG2022.pdf" target="_blank" >https://cccg.ca/proceedings/2022/CCCG2022.pdf</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Unfolding Some Classes of One-Layer Polycubes

Popis výsledku v původním jazyce

An unfolding of a polyhedron is a cutting along its surface such that the surface remains connected and it can be flattened to the plane without any overlap. An edge-unfolding is a restricted kind of unfolding, we are only allowed to cut along the edges of the faces of the polyhedron. A polycube is a special case of orthogonal polyhedron formed by gluing several unit cubes together face-to-face. In the case of polycubes, the edges of all cubes are available for cuts in edge-unfolding. We focus on one-layer polycubes and present several algorithms to unfold some classes of them. We show that it is possible to edge-unfold any one-layer polycube with cubic holes, thin horizontal holes and separable rectangular holes. The question of unfolding general one-layer polycubes remains open.

Název v anglickém jazyce

Unfolding Some Classes of One-Layer Polycubes

Popis výsledku anglicky

An unfolding of a polyhedron is a cutting along its surface such that the surface remains connected and it can be flattened to the plane without any overlap. An edge-unfolding is a restricted kind of unfolding, we are only allowed to cut along the edges of the faces of the polyhedron. A polycube is a special case of orthogonal polyhedron formed by gluing several unit cubes together face-to-face. In the case of polycubes, the edges of all cubes are available for cuts in edge-unfolding. We focus on one-layer polycubes and present several algorithms to unfold some classes of them. We show that it is possible to edge-unfold any one-layer polycube with cubic holes, thin horizontal holes and separable rectangular holes. The question of unfolding general one-layer polycubes remains open.

Druh

O - Ostatní výsledky

CEP obor

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OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů