Yes.
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False. In fact, the opposite is true: all pyramids have an even number of edges.
No They Only Have 4
A cubic graph must have an even number of vertices. Then, a Hamilton cycle (visiting all vertices) must have an even number of vertices and also an even number of edges. Alternatively color this edges red and blue, and the remaining edges green.
The pyramids in Egypt are a perfect pyramid, which means that the edges are all smooth. But in America the sides are shaped like stairs.
no