Grid-edge unfolding orthostacks with rectangular slabs

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10510048" target="_blank" >RIV/00216208:11320/24:10510048 - isvavai.cz</a>

Result on the web

<a href="https://cccg.ca/proceedings/2024/CCCG_2024_proceedings.pdf" target="_blank" >https://cccg.ca/proceedings/2024/CCCG_2024_proceedings.pdf</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Grid-edge unfolding orthostacks with rectangular slabs

Original language description

An orthostack with rectangular slabs is an orthogonal polyhedron obtained by stacking axis-parallel boxes on top of each other. A grid-edge unfolding of an orthogonal polyhedron is obtained by cutting the surface of the polyhedron along segments in the intersection of axis-parallel planes passing through the vertices of the polyhedron and mapping the cut surface isometrically into the plane with no interior overlap. We prove that orthostacks with rectangular slabs can be grid-edge unfolded into a simple polygon so that no faces, edges, or vertices overlap.

Czech name

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Czech description

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Type

O - Miscellaneous

CEP classification

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OECD FORD branch

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

Project

<a href="/en/project/GX23-04949X" target="_blank" >GX23-04949X: Fundamental questions of discrete geometry</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2024

Confidentiality

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