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)

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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

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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",

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AU - Schuur, P.C.

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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

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