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A New Structure of Cylinder Packing

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Discrete and Computational Geometry (JCDCG 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2098))

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Abstract

We report a new periodic structure of the cylinder packing. All the cylinders are congruent and the length of the cylinders are infinite and their directions are restricted to only six directions opf (110). Each cylinder is fixed by cylinders of other directions, so that the whole structure sustains mechanical stability. The packing density equals to \( \frac{{(351\sqrt 2 - 108\sqrt 6 )\pi }} {{1936}}( \simeq 0.376219)\), which lies between two values ever known: 0.494 or 0.247. The arrangement of parallel cylinders forms a certain 2D rhombic lattice common to all of six (110) directions. Nevertheless the way of fixing cylinders is different in all of six directions: the cylinders of two directions are supported with the rhombus-type, and the cylinders of other four directions are supported with the equilateral-triangle-type. The structure containing the equilateral-triangle-type has never been known.

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Author information

Authors and Affiliations

  1. Accelerator Laboratory, High Energy Accelerator Research Organization (KEK), Tsukuba-shi, Ibaraki-ken, 305-0801, Japan

    Yoshinori Teshima

  2. Laboratory for Entrepreneurship, University of Tsukuba, Tsukuba-ki, Ibaraki-ke, 305-8573, Japan, 305-8573, Japan

    Yoshinori Watanabe

  3. Institute of Applied Physics, University of Tsukuba, Tsukuba-shi, Ibaraki-ken, 305-8573, Japan

    Tohru Ogawa

  4. RIKEN (The Institute of Physical and Chemical Research), Advanced Engineering Center, Hirosawa 2-1, Wakoh-shi, Saitama-ken, 351-0198, Japan

    Yoshinori Teshima

Authors
  1. Yoshinori Teshima
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  2. Yoshinori Watanabe
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  3. Tohru Ogawa
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Editor information

Editors and Affiliations

  1. Research Institute of Educational Development, Tokai University, 2-28-4 Tomigaya, Shibuya-ku, Tokyo, 151-0063, Japan

    Jin Akiyama

  2. Department of Computer and Information Sciences, Ibaraki University, Hitachi, 316-8511, Japan

    Mikio Kano

  3. Department of Mathematics, Tokai University, 3-20-1 Orido Shimizu-shi, Shizuoka, 424-8610, Japan

    Masatsugu Urabe

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© 2001 Springer-Verlag Berlin Heidelberg

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Teshima, Y., Watanabe, Y., Ogawa, T. (2001). A New Structure of Cylinder Packing. In: Akiyama, J., Kano, M., Urabe, M. (eds) Discrete and Computational Geometry. JCDCG 2000. Lecture Notes in Computer Science, vol 2098. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47738-1_33

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  • DOI: https://doi.org/10.1007/3-540-47738-1_33

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42306-5

  • Online ISBN: 978-3-540-47738-9

  • eBook Packages: Springer Book Archive

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