The problem of the three houses on a torus
A solution of the problem of the three houses on the torus.
You can also try to solve this problem online with the interactive animation Paths without crossings. The other interactive animation From the rectangle to... shows how the rules of this version of the problem fit in with the torus.
Exhibit of matemilano.
© matematita
The image belongs to the sections...:
From the exhibition matemilano (Topology)
Jordan's theorem and the three houses problem (Topology)
The torus (Topology)
Images from the topology section (From the exhibitions of matematita)
Surfaces obtained from a rectangle (Topology)
Further information:
http://matemilano.mat.unimi.it