## Title 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 |