Packing 16, 17 of 18 circles in an equilateral triangle

J.B.M. Melissen; P.C. Schuur

doi:10.1016/0012-365X(95)90139-C

Packing 16, 17 of 18 circles in an equilateral triangle

J.B.M. Melissen
, P.C. Schuur

Faculty of Behavioural, Management and Social Sciences

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

16 Citations (Scopus)

995 Downloads (Pure)

Abstract

We present new, efficient packings for 16, 17 and 18 congruent circles in an equilateral triangle. The results have been found by the use of simulated annealing and a quasi-Newton optimization technique, supplemented with some human intelligence.

Original language	English
Pages (from-to)	333-342
Number of pages	10
Journal	Discrete mathematics
Volume	142
Issue number	1-3
DOIs	https://doi.org/10.1016/0012-365X(95)90139-C
Publication status	Published - 1995

Access to Document

10.1016/0012-365X(95)90139-C

Melissen95packingFinal published version, 403 KB

Cite this

@article{b2172f1996544ff19af459da1b6bef3d,

title = "Packing 16, 17 of 18 circles in an equilateral triangle",

abstract = "We present new, efficient packings for 16, 17 and 18 congruent circles in an equilateral triangle. The results have been found by the use of simulated annealing and a quasi-Newton optimization technique, supplemented with some human intelligence.",

author = "J.B.M. Melissen and P.C. Schuur",

year = "1995",

doi = "10.1016/0012-365X(95)90139-C",

language = "English",

volume = "142",

pages = "333--342",

journal = "Discrete mathematics",

issn = "0012-365X",

publisher = "Elsevier",

number = "1-3",

}

TY - JOUR

T1 - Packing 16, 17 of 18 circles in an equilateral triangle

AU - Melissen, J.B.M.

AU - Schuur, P.C.

PY - 1995

Y1 - 1995

N2 - We present new, efficient packings for 16, 17 and 18 congruent circles in an equilateral triangle. The results have been found by the use of simulated annealing and a quasi-Newton optimization technique, supplemented with some human intelligence.

AB - We present new, efficient packings for 16, 17 and 18 congruent circles in an equilateral triangle. The results have been found by the use of simulated annealing and a quasi-Newton optimization technique, supplemented with some human intelligence.

U2 - 10.1016/0012-365X(95)90139-C

DO - 10.1016/0012-365X(95)90139-C

M3 - Article

SN - 0012-365X

VL - 142

SP - 333

EP - 342

JO - Discrete mathematics

JF - Discrete mathematics

IS - 1-3

ER -

Packing 16, 17 of 18 circles in an equilateral triangle

Abstract

Access to Document

Fingerprint

Cite this