Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 59: Issue 1
Intersecting Hexagons in 3-Space
Authors:
József Solymosi Department of Mathematics, University of British Columbia, Vancouver, BC, Canada V6T 1Z2

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and
Ching Wong Department of Mathematics, University of British Columbia, Vancouver, BC, Canada V6T 1Z2

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Pages:
30–39
Online Publication Date:
01 Apr 2022
Publication Date:
01 Apr 2022
Article Category:
Research Article
DOI:
https://doi.org/10.1556/012.2022.01514
Keywords:
Intersecting polytopes in 3-space; geometric applications of the Regularity Lemma
Restricted access

Two hexagons in the space are said to intersect heavily if their intersection consists of at least one common vertex as well as an interior point. We show that the number of hexagons on n points in 3-space without heavy intersections is o(n2), under the assumption that the hexagons are ‘fat’.

  • [1]

    J. Carmesin. Embedding simply connected 2-complexes in 3-space – I. A Kuratowski-type characterisation. preprint, arXiv:1709.04642v3.

  • [2]

    T. K. Dey and J. Pach. Extremal problems for geometric hypergraphs. Discrete Comput. Geom., 19(4):473–484, 1998.

  • [3]

    G. Kalai. Communication with J. Solymosi at Euroconference in Mathematics on Crete, Ano- gia, Greece, 19-25 August 2000. (Organizers E. Welzl and G. M. Ziegler.)

    • Search Google Scholar
    • Export Citation
  • [4]

    G. Károlyi and J. Solymosi. Almost disjoint triangles in 3-space. Discrete and computational geometry and graph drawing (Columbia, SC, 2001). Discrete Comput. Geom., 28(4):577–583, 2002.

    • Search Google Scholar
    • Export Citation
  • [5]

    P. McMullen, Ch. Schulz and J. M. Wills. Polyhedral 2-manifolds in E3 with unusually large genus. Israel J. Math., 46(1–2):127–144, 1983.

    • Search Google Scholar
    • Export Citation
  • [6]

    L. Neuwirth. An algorithm for the construction of 3-manifolds from 2-complexes. Proc. Cambridge Philos. Soc., 64:603–613, 1968.

  • [7]

    I. Z. Ruzsa and E. Szemerédi. Triple systems with no six points carrying three triangles. In Combinatorics, (Proc. Fifth Hungarian Colloq., Keszthely, 1976), Vol. II, Colloq. Math. Soc. János Bolyai, 18, North-Holland, Amsterdam-New York, 1978, pp. 939–945.

    • Search Google Scholar
    • Export Citation
  • [8]

    G. M. Ziegler. Polyhedral surfaces of high genus. In Discrete diflerential geometry, Ober-wolfach Semin., 38, Birkhauser, Basel, 2008, pp. 191–213.

    • Search Google Scholar
    • Export Citation
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Cover Studia Scientiarum Mathematicarum Hungarica
Studia Scientiarum Mathematicarum Hungarica
Print ISSN:
0081-6906
Online ISSN:
1588-2896

Editors in Chief

Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics) 

Managing Editor

Gábor SÁGI (Rényi Institute of Mathematics)

Editorial Board

  • Imre BÁRÁNY (Rényi Institute of Mathematics)
  • Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
  • Péter CSIKVÁRI (ELTE, Budapest) 
  • Joshua GREENE (Boston College)
  • Penny HAXELL (University of Waterloo)
  • Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
  • Ron HOLZMAN (Technion, Haifa)
  • Satoru IWATA (University of Tokyo)
  • Tibor JORDÁN (ELTE, Budapest)
  • Roy MESHULAM (Technion, Haifa)
  • Frédéric MEUNIER (École des Ponts ParisTech)
  • Márton NASZÓDI (ELTE, Budapest)
  • Eran NEVO (Hebrew University of Jerusalem)
  • János PACH (Rényi Institute of Mathematics)
  • Péter Pál PACH (BME, Budapest)
  • Andrew SUK (University of California, San Diego)
  • Zoltán SZABÓ (Princeton University)
  • Martin TANCER (Charles University, Prague)
  • Gábor TARDOS (Rényi Institute of Mathematics)
  • Paul WOLLAN (University of Rome "La Sapienza")

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Studia Scientiarum Mathematicarum Hungarica
Language English
French
German
Size B5
Year of
Foundation		 1966
Volumes
per Year		 1
Issues
per Year		 4
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0081-6906 (Print)
ISSN 1588-2896 (Online)

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