Paths without crossroads
This interactive animation makes you play online with the problem of the three houses, in different versions, that correspond to set the problem on the plane, on a cylinder, on a torus, on a Moebius strip. You will see the topological characteristic that determines the possibility of solving the problem. The interactive animation Cutting a surface illustrates this characteristic.
The animation is in the CD of matemilano and matetrentino.
The image belongs to the sections...:
Jordan's theorem and the three houses problem (Topology)