The Probability that a Random Triangle in a Cube is Obtuse

Fuente: arXiv
Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Beck, Dominik
Format: Preprint
Veröffentlicht: 2025
Schlagworte:
Online-Zugang:
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
_version_ 1866910792073347072
author Beck, Dominik
author_facet Beck, Dominik
contents In this paper, we derive the exact formula for the probability that three randomly and uniformly selected points from the interior of the unit cube form vertices of an obtuse triangle.
format Preprint
id arxiv_https___arxiv_org_abs_2501_11611
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Probability that a Random Triangle in a Cube is Obtuse
Beck, Dominik
Metric Geometry
Probability
60D05, 52A22
G.3
In this paper, we derive the exact formula for the probability that three randomly and uniformly selected points from the interior of the unit cube form vertices of an obtuse triangle.
title The Probability that a Random Triangle in a Cube is Obtuse
topic Metric Geometry
Probability
60D05, 52A22
G.3
url https://arxiv.org/abs/2501.11611