BUFFON’S COIN AND NEEDLE PROBLEMS FOR THE SNUB HEXAGONAL TILING

Salvatore Flavio Vassallo

doi:10.37418/amsj.10.4.36

BUFFON’S COIN AND NEEDLE PROBLEMS FOR THE SNUB HEXAGONAL TILING

Salvatore Flavio Vassallo

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

Abstract

In this paper we consider the snub hexagonal tiling of the plane ((3^4, 6) Archimedean tiling) and compute the probability that a random circle or a random segment intersects a side of the tiling.

Original language	English
Pages (from-to)	2223-2233
Number of pages	11
Journal	ADVANCES IN MATHEMATICS
Volume	10
DOIs	https://doi.org/10.37418/amsj.10.4.36
Publication status	Published - 2021

Keywords

Geometric probability
random sets
stochastic geometry

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10.37418/amsj.10.4.36

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

abstract = "In this paper we consider the snub hexagonal tiling of the plane ((3\textasciicircum{}4, 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 = "2021",

doi = "10.37418/amsj.10.4.36",

language = "English",

volume = "10",

pages = "2223--2233",

journal = "ADVANCES IN MATHEMATICS",

issn = "1857-8365",

publisher = "Skopje: Jolevska-Tuneska Biljana",

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T1 - BUFFON’S COIN AND NEEDLE PROBLEMS FOR THE SNUB HEXAGONAL TILING

AU - Vassallo, Salvatore Flavio

PY - 2021

Y1 - 2021

N2 - In this paper we consider the snub hexagonal tiling of the plane ((3^4, 6) Archimedean tiling) and compute the probability that a random circle or a random segment intersects a side of the tiling.

AB - In this paper we consider the snub hexagonal tiling of the plane ((3^4, 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/10807/178756

UR - https://research-publication.com/wp-content/uploads/2021/vol-10-n04/amsj-2021-n04-36.pdf

U2 - 10.37418/amsj.10.4.36

DO - 10.37418/amsj.10.4.36

M3 - Article

SN - 1857-8365

VL - 10

SP - 2223

EP - 2233

JO - ADVANCES IN MATHEMATICS

JF - ADVANCES IN MATHEMATICS

ER -

BUFFON’S COIN AND NEEDLE PROBLEMS FOR THE SNUB HEXAGONAL TILING

Abstract

Keywords

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