MathDB
minimum distance of circles in different planes of a cube

Source: Austrian-Polish 2000

May 16, 2019
3-Dimensional Geometrygeometrydistanceminimum3D geometry

Problem Statement

In a unit cube, CGCG is the edge perpendicular to the face ABCDABCD. Let O1O_1 be the incircle of square ABCDABCD and O2O_2 be the circumcircle of triangle BDGBDG. Determine min{XYXO1,YO2}\{XY|X\in O_1,Y\in O_2\}.