English

The Probability that a Random Triangle in a Cube is Obtuse

Metric Geometry 2025-01-22 v1 Probability

Abstract

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.

Keywords

Cite

@article{arxiv.2501.11611,
  title  = {The Probability that a Random Triangle in a Cube is Obtuse},
  author = {Dominik Beck},
  journal= {arXiv preprint arXiv:2501.11611},
  year   = {2025}
}
R2 v1 2026-06-28T21:11:32.411Z