at Google ScholarTitle data
Kurz, Sascha:
Plane point sets with many squares or isosceles right triangles.
Bayreuth
,
2021
. - 31 p.
DOI: https://doi.org/10.15495/EPub_UBT_00005936
Abstract in another language
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) |
| 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 |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |
| Date Deposited: | 15 Jan 2022 22:00 |
| Last Modified: | 17 Jan 2022 06:28 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/68388 |