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Plane point sets with many squares or isosceles right triangles

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005936
URN to cite this document: urn:nbn:de:bvb:703-epub-5936-1

Title data

Kurz, Sascha:
Plane point sets with many squares or isosceles right triangles.
Bayreuth , 2021 . - 31 S.

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Abstract

How many squares are spanned by n points in the plane? Here we study the corresponding maximum possible number of squares and determine the exact values for all n≤17. For 18≤n≤100$ we give corresponding lower bounds. Besides that a few preliminary structural results are obtained. For the related problem of the maximum possible number of isosceles right triangles we determine the exact values for n≤14 and give lower bounds for 15≤n≤50.

Further data

Item Type: Preprint, postprint
Keywords: Erdös problems; similar squares; isosceles right triangles; point sets; Euclidean plane
Subject classification: Mathematics Subject Classification Code: 52C10 (05C35)
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics
Faculties
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5936-1
Date Deposited: 13 Jan 2022 07:17
Last Modified: 13 Jan 2022 07:17
URI: https://epub.uni-bayreuth.de/id/eprint/5936

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