MathDB
ASU 481 All Soviet Union MO 1988 broken line between opposite vertices of cube

Source:

August 8, 2019
geometrycube3D geometrybroken lineminimum

Problem Statement

A polygonal line connects two opposite vertices of a cube with side 22. Each segment of the line has length 33 and each vertex lies on the faces (or edges) of the cube. What is the smallest number of segments the line can have?