On 2-Reptiles in the Plane

Sze Man Ngai; Víctor F. Sirvent; J. J.P. Veerman; Yang Wang

doi:10.1023/a:1005206301454

On 2-Reptiles in the Plane

Sze Man Ngai, Víctor F. Sirvent, J. J.P. Veerman, Yang Wang

Mathematical Sciences

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

13 Scopus citations

Abstract

We classify all rational 2-reptiles in the plane. We also establish properties concerning rational reptiles in the plane in general.

Original language	American English
Pages (from-to)	325-344
Number of pages	20
Journal	Geometriae Dedicata
Volume	82
Issue number	1-3
DOIs	https://doi.org/10.1023/a:1005206301454
State	Published - Oct 2000

Disciplines

Mathematics

Keywords

Rational n-reptile
Self-affine multi-tile
Tiling

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10.1023/a:1005206301454

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title = "On 2-Reptiles in the Plane",

abstract = " We classify all rational 2-reptiles in the plane. We also establish properties concerning rational reptiles in the plane in general.",

keywords = "Rational n-reptile, Self-affine multi-tile, Tiling",

author = "Ngai, {Sze Man} and Sirvent, {V{\'i}ctor F.} and Veerman, {J. J.P.} and Yang Wang",

note = "We classify all rational 2-reptiles in the plane. We also establish properties concerning rational reptiles in the plane in general.",

year = "2000",

month = oct,

doi = "10.1023/a:1005206301454",

language = "American English",

volume = "82",

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issn = "0046-5755",

publisher = "Springer Netherlands",

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AU - Ngai, Sze Man

AU - Sirvent, Víctor F.

AU - Veerman, J. J.P.

AU - Wang, Yang

N1 - We classify all rational 2-reptiles in the plane. We also establish properties concerning rational reptiles in the plane in general.

PY - 2000/10

Y1 - 2000/10

N2 - We classify all rational 2-reptiles in the plane. We also establish properties concerning rational reptiles in the plane in general.

AB - We classify all rational 2-reptiles in the plane. We also establish properties concerning rational reptiles in the plane in general.

KW - Rational n-reptile

KW - Self-affine multi-tile

KW - Tiling

UR - https://doi.org/10.1023/A:1005206301454

UR - http://www.scopus.com/inward/record.url?scp=0038356779&partnerID=8YFLogxK

U2 - 10.1023/a:1005206301454

DO - 10.1023/a:1005206301454

M3 - Article

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VL - 82

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EP - 344

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1-3

ER -

On 2-Reptiles in the Plane

Abstract

Disciplines

Keywords

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