### Abstract

Original language | English |
---|---|

Journal | Discrete & computational geometry |

Volume | 55 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2014 |

### Fingerprint

### Keywords

- math.MG
- 52C17

### Cite this

**Upper bounds on packing density for circular cylinders with high aspect ratio.** / Kusner, Wöden.

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

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TY - JOUR

T1 - Upper bounds on packing density for circular cylinders with high aspect ratio

AU - Kusner, Wöden

N1 - 12 pages, 8 figures

PY - 2014

Y1 - 2014

N2 - In the early 1990s, A. Bezdek and W. Kuperberg used a relatively simple argument to show a surprising result: The maximum packing density of circular cylinders of infinite length in $\mathbb{R}^3$ is exactly $\pi/\sqrt{12}$, the planar packing density of the circle. This paper modifies their method to prove a bound on the packing density of finite length circular cylinders. In fact, the maximum packing density for unit radius cylinders of length $t$ in $\mathbb{R}^3$ is bounded above by $\pi/\sqrt{12} + 10/t$.

AB - In the early 1990s, A. Bezdek and W. Kuperberg used a relatively simple argument to show a surprising result: The maximum packing density of circular cylinders of infinite length in $\mathbb{R}^3$ is exactly $\pi/\sqrt{12}$, the planar packing density of the circle. This paper modifies their method to prove a bound on the packing density of finite length circular cylinders. In fact, the maximum packing density for unit radius cylinders of length $t$ in $\mathbb{R}^3$ is bounded above by $\pi/\sqrt{12} + 10/t$.

KW - math.MG

KW - 52C17

U2 - 10.1007/s00454-014-9593-6

DO - 10.1007/s00454-014-9593-6

M3 - Article

VL - 55

JO - Discrete & computational geometry

JF - Discrete & computational geometry

SN - 0179-5376

IS - 4

ER -