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Optimal packings of eleven equal circles in an equilateral triangle

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Publication:1333045
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DOI10.1007/BF01876040zbMath0807.52014MaRDI QIDQ1333045

J. B. M. Melissen

Publication date: 13 September 1994

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)


zbMATH Keywords

densest packingequilateral triangleeleven equal circles


Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Combinatorial aspects of packing and covering (05B40)


Related Items

Densest packings of eleven congruent circles in a circle ⋮ Packing 16, 17 or 18 circles in an equilateral triangle ⋮ Sparse locally-jammed disk packings ⋮ Packing, covering and tiling in two-dimensional spaces ⋮ Some numerical problems in discrete geometry ⋮ Packing 13 circles in an equilateral triangle



Cites Work

  • Unnamed Item
  • Unsolved problems in geometry
  • Improved coverings of a square with six and eight equal circles
  • A Finite Packing Problem
  • Densest Packings of Congruent Circles in an Equilateral Triangle
  • On the Original Malfatti Problem
  • On Partitions of an Equilateral Triangle
  • The Converse Malfatti Problem
  • Der Mindestabstand von n in der Einheitskreisscheibe gelegenen Punkten
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