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Concrete Polytopes May Not Tile The Space

Work

Year: 2020

Type: article

Abstract: Brandolini et al. conjectured in (Preprint, 2019) that all concrete lattice polytopes can multitile the space. We disprove this conjecture in a strong form, by constructing an infinite family of count... more

Source: Mathematika

Authors Alexey Garber, Igor Pak

Institutions The University of Texas Rio Grande Valley, University of California, Los Angeles

Cites: 29

Cited by: 4

Related to: 10

FWCI: 1.429

Citation percentile (by year/subfield): 59.87

Topic: Computational Geometry and Mesh Generation

Subfield: Computer Graphics and Computer-Aided Design

Field: Computer Science

Domain: Physical Sciences

Sustainable Development Goal Sustainable cities and communities

Open Access status: green

Funder National Science Foundation