# Tree in Polyhedron Figures

Find a tree in the polyhedron of figure 1.3 which contains all the vertices. Construct the dual graph Ð“ and show that Ð“ 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 Ð“ and show that Ð“ 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 Ð“ in the polyhedron. T is a tree, so thickening it gives a disc. What do you obtain when you thicken Ð“?

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.