BUFFON’S COIN AND NEEDLE PROBLEMS FOR THE RHOMBITRIHEXAGONAL TILING

Salvatore Flavio Vassallo

doi:10.37418/amsj.11.3.5

BUFFON’S COIN AND NEEDLE PROBLEMS FOR THE RHOMBITRIHEXAGONAL TILING

Salvatore Flavio Vassallo^*

^*Corresponding author

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

Abstract

In this paper we consider the rhombitrihexagonal tiling of the plane (3, 4, 6, 4) 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)	197-209
Number of pages	13
Journal	ADVANCES IN MATHEMATICS
Volume	11
DOIs	https://doi.org/10.37418/amsj.11.3.5
Publication status	Published - 2022

Keywords

Geometric probability
random sets
stochastic geometry

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10.37418/amsj.11.3.5

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

abstract = "In this paper we consider the rhombitrihexagonal tiling of the plane (3, 4, 6, 4) 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 = "2022",

doi = "10.37418/amsj.11.3.5",

language = "English",

volume = "11",

pages = "197--209",

journal = "ADVANCES IN MATHEMATICS",

issn = "1857-8365",

publisher = "Skopje: Jolevska-Tuneska Biljana",

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TY - JOUR

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

AU - Vassallo, Salvatore Flavio

PY - 2022

Y1 - 2022

N2 - In this paper we consider the rhombitrihexagonal tiling of the plane (3, 4, 6, 4) 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 rhombitrihexagonal tiling of the plane (3, 4, 6, 4) 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/10807/197402

UR - https://research-publication.com/?page_id=13122

U2 - 10.37418/amsj.11.3.5

DO - 10.37418/amsj.11.3.5

M3 - Article

SN - 1857-8365

VL - 11

SP - 197

EP - 209

JO - ADVANCES IN MATHEMATICS

JF - ADVANCES IN MATHEMATICS

ER -

BUFFON’S COIN AND NEEDLE PROBLEMS FOR THE RHOMBITRIHEXAGONAL TILING

Abstract

Keywords

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