PREPRINT
667DD2EA-047B-4E5E-86C3-1EC301E48408

# Separations inside a cube

A. F. F. Teixeira
arXiv:math/0112296

Submitted on 28 December 2001

## Abstract

Two points are randomly selected inside a three-dimensional euclidian cube. The value l of their separation lies somewhere between zero and the length of a diagonal of the cube. The probability density P(l) of the separation is obtained analytically. Also a Monte Carlo computer simulation is performed, showing good agreement with the formulas obtained.

## Preprint

Comment: 7 pages, 5 figures

Subjects: Mathematics - General Mathematics; Astrophysics