Calculations of the minimal perimeter for N deformable bubbles of equal area confined to the surface of a sphere

Simon Cox

Calculations of the minimal perimeter for N deformable bubbles of equal area confined to the surface of a sphere

Simon Cox

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Allbwn ymchwil: Papur gweithio

16 Wedi eu Llwytho i Lawr (Pure)

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Candidates to the least perimeter partition of the surface of a sphere into N planar connected regions are calculated for N ≤ 32. A search procedure based upon random shuffling and combinatorial enumeration is used. It is conjectured that the optimal configuration for each N > 13 consists of 12 pentagons and N−12 hexagons.

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Statws	Cyhoeddwyd - 21 Mai 2009

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sph2d_2.pdf

http://hdl.handle.net/2160/2317

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title = "Calculations of the minimal perimeter for N deformable bubbles of equal area confined to the surface of a sphere",

abstract = "Candidates to the least perimeter partition of the surface of a sphere into N planar connected regions are calculated for N ≤ 32. A search procedure based upon random shuffling and combinatorial enumeration is used. It is conjectured that the optimal configuration for each N > 13 consists of 12 pentagons and N−12 hexagons.",

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year = "2009",

month = may,

day = "21",

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T1 - Calculations of the minimal perimeter for N deformable bubbles of equal area confined to the surface of a sphere

AU - Cox, Simon

N1 - null Sponsorship: EPSRC

PY - 2009/5/21

Y1 - 2009/5/21

N2 - Candidates to the least perimeter partition of the surface of a sphere into N planar connected regions are calculated for N ≤ 32. A search procedure based upon random shuffling and combinatorial enumeration is used. It is conjectured that the optimal configuration for each N > 13 consists of 12 pentagons and N−12 hexagons.

AB - Candidates to the least perimeter partition of the surface of a sphere into N planar connected regions are calculated for N ≤ 32. A search procedure based upon random shuffling and combinatorial enumeration is used. It is conjectured that the optimal configuration for each N > 13 consists of 12 pentagons and N−12 hexagons.

M3 - Working paper

BT - Calculations of the minimal perimeter for N deformable bubbles of equal area confined to the surface of a sphere

ER -

Calculations of the minimal perimeter for N deformable bubbles of equal area confined to the surface of a sphere

Crynodeb

Mynediad at Ddogfen

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