MathDB

locus in cube equidistant from 3 edges

Source: TOT 514 1996 Autumn S O1 Tournament Of Towns

August 16, 2024

geometry3D geometryLocus

Problem Statement

Consider three edges

a, b, c

of a cube such that no two of these edges lie in one plane. Find the locus of points inside the cube which are equidistant from

a

b

and

c

.
(V Proizvolov,)