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# Tree in Polyhedron Figures

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Find a tree in the polyhedron of figure 1.3 which contains all the vertices. Construct the dual graph Г and show that Г contains loops. (You don't have to construct the graph, but please describe it to me how it looks like.) (SEE ATTACHMENT)

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4. Find a tree in the polyhedron of figure 1.3 which contains all the vertices. Construct the dual graph Г and show that Г contains loops. (You don't have to construct the graph, but please describe it to me how it looks like.)

5. Having done Problem 4, thicken both T and Г in the polyhedron. T is a tree, so thickening it gives a disc. What do you obtain when you thicken Г?

8. Check that v - e + f = 0 for the polyhedron shown in Fig. 1.3. Find a polyhedron which can be deformed into a double-torus(two torus are stuck together) and calculate its Euler ...

#### Solution Summary

A tree in polyhedron figures are determined.

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