TOT 349 1992 Autumn O S1 cover a cube nxn eith a tape
Source:
June 10, 2024
geometry3D geometrycombinatoricscombinatorial geometry
Problem Statement
We are given a cube with edges of length cm. At our disposal is a long piece of insulating tape of width cm. It is required to stick this tape to the cube. The tape may freely cross an edge of the cube on to a different face but it must always be parallel to an edge of the cube. It may not overhang the edge of a face or cross over a vertex. How many pieces of the tape are necessary in order to completely cover the cube? (You may assume that is an integer.) (A Spivak)