Penrose patterns are almost entirely determined by two points

N.G. Bruijn, de

doi:10.1016/0012-365X(92)90535-N

Penrose patterns are almost entirely determined by two points

N.G. Bruijn, de

Mathematics and Computer Science

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

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It is shown that for any Penrose pattern p and for any positive number e we can find two vertices P and Q of p such that in any large circular disk all but a fraction of at most e of the vertices is common to all Penrose patterns (with the same pieces, in the same directions) that have P and Q as vertices.

Originele taal-2	Engels
Pagina's (van-tot)	97-104
Aantal pagina's	8
Tijdschrift	Discrete Mathematics
Volume	106-107
Nummer van het tijdschrift	1
DOI's	https://doi.org/10.1016/0012-365X(92)90535-N
Status	Gepubliceerd - 1992

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10.1016/0012-365X(92)90535-N

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title = "Penrose patterns are almost entirely determined by two points",

abstract = "It is shown that for any Penrose pattern p and for any positive number e we can find two vertices P and Q of p such that in any large circular disk all but a fraction of at most e of the vertices is common to all Penrose patterns (with the same pieces, in the same directions) that have P and Q as vertices.",

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T1 - Penrose patterns are almost entirely determined by two points

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PY - 1992

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N2 - It is shown that for any Penrose pattern p and for any positive number e we can find two vertices P and Q of p such that in any large circular disk all but a fraction of at most e of the vertices is common to all Penrose patterns (with the same pieces, in the same directions) that have P and Q as vertices.

AB - It is shown that for any Penrose pattern p and for any positive number e we can find two vertices P and Q of p such that in any large circular disk all but a fraction of at most e of the vertices is common to all Penrose patterns (with the same pieces, in the same directions) that have P and Q as vertices.

U2 - 10.1016/0012-365X(92)90535-N

DO - 10.1016/0012-365X(92)90535-N

M3 - Article

SN - 0012-365X

VL - 106-107

SP - 97

EP - 104

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1

ER -

Penrose patterns are almost entirely determined by two points

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