arbiter
JournalsAccount

The probability that a random triangle in a cube is obtuse

Dominik Beck

Journal of Applied Probability2026https://doi.org/10.1017/jpr.2026.10075article
AJG 2ABDC A
Weight
0.50

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.

Open via your library →

Cite this paper

https://doi.org/https://doi.org/10.1017/jpr.2026.10075

Or copy a formatted citation

@article{dominik2026,
  title        = {{The probability that a random triangle in a cube is obtuse}},
  author       = {Dominik Beck},
  journal      = {Journal of Applied Probability},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1017/jpr.2026.10075},
}

Paste directly into BibTeX, Zotero, or your reference manager.

Flag this paper

The probability that a random triangle in a cube is obtuse

Flags are reviewed by the Arbiter methodology team within 5 business days.

Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.