Gas, water, electricity



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Gas, water, electricity

The diagram below shows three houses, each connected up to three utilities. Show that it isn't possible to rearrange the connections so that they don't intersect each other. Could you do it if the earth were a not a sphere but some other surface?

  
Figure 6: This is no good because we don't want the lines to intersect.



Next: Topology Up: Geometry and the Imagination Previous: Unicursal curves and



Peter Doyle