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	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

Scopus Subject Areas

Geometry and Topology

Keywords

Rational n-reptile
Self-affine multi-tile
Tiling

Access to Document

10.1023/a:1005206301454

Cite this

@article{82cba6b773e643b981f980b8836c164d,

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 = "English",

volume = "82",

pages = "325--344",

journal = "Geometriae Dedicata",

issn = "0046-5755",

publisher = "Springer Netherlands",

number = "1-3",

}

TY - JOUR

T1 - On 2-Reptiles in the Plane

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 - https://www.scopus.com/pages/publications/0038356779

U2 - 10.1023/a:1005206301454

DO - 10.1023/a:1005206301454

M3 - Article

SN - 0046-5755

VL - 82

SP - 325

EP - 344

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1-3

ER -

On 2-Reptiles in the Plane

Abstract

Scopus Subject Areas

Keywords

Access to Document

Other files and links

Cite this