(a) Describe how to determine whether a mesh is connected (i.e., whether the graph consisting of all vertices and edges of the mesh is a connected graph).
(b) Apply the orientation algorithm to the five-vertex mesh of Inline Exercise 25.4 to show it’s not orientable.
(c) Once we orient one face of an orientable connected mesh, all others have their orientations determined by the algorithm just described, so there are only two possible orientations of any connected orientable mesh. Suppose that some mesh M is not connected, and instead has n > 1 components. How many different orientations can it have?
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