Folding and tiling

Eric Goles

doi:10.1016/j.tcs.2004.03.013

Folding and tiling

Eric Goles

Research output: Contribution to journal › Article › peer-review

Abstract

We exhibit a relation between folds and a tile of the plane. More precisely, given a finite word coding vertical and horizontal folds we give a necessary and sufficient condition in order to tile the plane with a set of tiles constructed with copies of the unfold surface.

Original language	English
Pages (from-to)	285-296
Number of pages	12
Journal	Theoretical Computer Science
Volume	322
Issue number	2
DOIs	https://doi.org/10.1016/j.tcs.2004.03.013
State	Published - 30 Aug 2004
Externally published	Yes

Keywords

Discrete geometry
Folding
Tiling

Access to Document

10.1016/j.tcs.2004.03.013

Cite this

@article{ce261f8522ad470f91c78a91ba6d3176,

title = "Folding and tiling",

abstract = "We exhibit a relation between folds and a tile of the plane. More precisely, given a finite word coding vertical and horizontal folds we give a necessary and sufficient condition in order to tile the plane with a set of tiles constructed with copies of the unfold surface.",

keywords = "Discrete geometry, Folding, Tiling",

author = "Eric Goles",

year = "2004",

month = aug,

day = "30",

doi = "10.1016/j.tcs.2004.03.013",

language = "English",

volume = "322",

pages = "285--296",

journal = "Theoretical Computer Science",

issn = "0304-3975",

publisher = "Elsevier B.V.",

number = "2",

}

TY - JOUR

T1 - Folding and tiling

AU - Goles, Eric

PY - 2004/8/30

Y1 - 2004/8/30

N2 - We exhibit a relation between folds and a tile of the plane. More precisely, given a finite word coding vertical and horizontal folds we give a necessary and sufficient condition in order to tile the plane with a set of tiles constructed with copies of the unfold surface.

AB - We exhibit a relation between folds and a tile of the plane. More precisely, given a finite word coding vertical and horizontal folds we give a necessary and sufficient condition in order to tile the plane with a set of tiles constructed with copies of the unfold surface.

KW - Discrete geometry

KW - Folding

KW - Tiling

UR - https://www.scopus.com/pages/publications/3843133990

U2 - 10.1016/j.tcs.2004.03.013

DO - 10.1016/j.tcs.2004.03.013

M3 - Article

AN - SCOPUS:3843133990

SN - 0304-3975

VL - 322

SP - 285

EP - 296

JO - Theoretical Computer Science

JF - Theoretical Computer Science

IS - 2

ER -

Folding and tiling

Abstract

Keywords

Access to Document

Fingerprint

Cite this