BUFFON’S COIN AND NEEDLE PROBLEMS FOR THE TRIHEXAGONAL TILING

Salvatore Flavio Vassallo

doi:10.17654/MS117010001

BUFFON’S COIN AND NEEDLE PROBLEMS FOR THE TRIHEXAGONAL TILING

Salvatore Flavio Vassallo

Risultato della ricerca: Contributo in rivista › Articolo › peer review

Abstract

In this paper, we consider the trihexagonal tiling of the plane  3 , 6 , 3 , 6  Archimedean tiling  and compute the probability that a random circle or a random segment intersects a side of the tiling.

Lingua originale	Inglese
pagine (da-a)	1-14
Numero di pagine	14
Rivista	FAR EAST JOURNAL OF MATHEMATICAL SCIENCES: FJMS
Volume	117
DOI	https://doi.org/10.17654/MS117010001
Stato di pubblicazione	Pubblicato - 2019

Keywords

geometric probability
random sets
stochastic geometry

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10.17654/MS117010001

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title = "BUFFON{\textquoteright}S COIN AND NEEDLE PROBLEMS FOR THE TRIHEXAGONAL TILING",

abstract = "In this paper, we consider the trihexagonal tiling of the plane  3 , 6 , 3 , 6  Archimedean tiling  and compute the probability that a random circle or a random segment intersects a side of the tiling.",

keywords = "geometric probability, random sets, stochastic geometry, geometric probability, random sets, stochastic geometry",

author = "Vassallo, \{Salvatore Flavio\}",

year = "2019",

doi = "10.17654/MS117010001",

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journal = "FAR EAST JOURNAL OF MATHEMATICAL SCIENCES: FJMS",

issn = "0972-0871",

publisher = "Prints India:11 Darya Ganj, New Deli 110002 India:011 91 11 23257864, 011 91 11 23811659, EMAIL: [email protected], [email protected], Fax: 011 91 11 2275542, 011 91 11 23812678",

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AB - In this paper, we consider the trihexagonal tiling of the plane  3 , 6 , 3 , 6  Archimedean tiling  and compute the probability that a random circle or a random segment intersects a side of the tiling.

KW - geometric probability

KW - random sets

KW - stochastic geometry

KW - geometric probability

KW - random sets

KW - stochastic geometry

UR - http://hdl.handle.net/10807/143966

U2 - 10.17654/MS117010001

DO - 10.17654/MS117010001

M3 - Article

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JO - FAR EAST JOURNAL OF MATHEMATICAL SCIENCES: FJMS

JF - FAR EAST JOURNAL OF MATHEMATICAL SCIENCES: FJMS

ER -

BUFFON’S COIN AND NEEDLE PROBLEMS FOR THE TRIHEXAGONAL TILING

Abstract

Keywords

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