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
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 |
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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 |