Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 61: Issue 2
Parallel Covering an Obtuse Triangle with Squares
Authors:
Zhanjun Su School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, 050024, China

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Yufang Wu School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, 050024, China

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Pages:
161–184
Online Publication Date:
22 Jul 2024
Publication Date:
24 Jul 2024
Article Category:
Research Article
DOI:
https://doi.org/10.1556/012.2024.04313
Keywords:
Parallel covering; obtuse triangle; square
Restricted access

Suppose that 𝑇 (𝛼, 𝛽) is an obtuse triangle with base length 1 and with base angles 𝛼 and 𝛽 (where 𝛽 > 90◦). In this note a tight lower bound of the sum of the areas of squares that can parallel cover 𝑇 (𝛼, 𝛽) is given. This result complements the previous lower bound obtained for the triangles with the interior angles at the base of the measure not greater than 90◦.

  • [1]

    J. Januszewski. Translative covering by sequences of homothetic copies. Acta Math. Hungar., 91(4):337–342, 2001.

  • [2]

    J. Januszewski. Parallel packing and covering of an equilateral triangle with sequences of squares. Acta Math. Hungar., 125(3):249–260, 2009.

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  • [3]

    J. Januszewski and Ł. Zielonka. Parallel covering of a triangle with squares. Ars Combin., 149:165–183, 2020.

  • [4]

    M. Lu and Z. Su. Parallel covering of isosceles triangles with squares. Acta Math. Hungar., 155(2):266–297, 2018.

  • [5]

    J. W. Moon and L. Moser. Some packing and covering theorems. Colloq. Math., 17:103–110, 1967.

  • [6]

    C. Su and X. Li. Parallel covering a rhombus with squares. Period. Math. Hungar., 88(1):190–203, 2024.

  • [7]

    Z. Su and J. Zhang. Parallel covering a parallelogram with squares. Acta Math. Hungar., 172(1):264–286, 2024.

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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) 

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Gábor SÁGI (Rényi Institute of Mathematics)

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  • Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
  • Péter CSIKVÁRI (ELTE, Budapest) 
  • Joshua GREENE (Boston College)
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  • Zoltán SZABÓ (Princeton University)
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  • 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
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ISSN 0081-6906 (Print)
ISSN 1588-2896 (Online)

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