Let S be the surface with the polygonal decomposition: Yo a ⠀ ⠀ g C b where, as shown, the tail of the edge a is the vertex x and its head is the vertex y. [Be careful: it is possible that the vertices x and y are equal.] Please fill in the blanks to answer the following questions: 1. How many free edges does S have? 2. How many paired edges does S have? 3. What vertex is at the head of the edge i? 4. What vertex is at the tail of the edge h? [] [] 5. How many (distinct) vertices does S have? 5 4

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