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A cone only has one edge simply because it only has one face. Although a face can have multiple edges, in the case of a cone, which has a circular face, it only has one edge because the face is a closed figure; namely, a circle. The rest of the figure is still 3-D, but since there is only one face, there are an infinite amount of spaces in the area between the edge and the vertice, resulting in an area, not an edge. The contracting circle joins at a vertice parallel to the face. This vertice does not compute as an edge either because there is only one circular face. Thus, a cone has one edge because it has only a single, closed face.

By: Brian Jiang (seriously though, Steven, Ubi, Liam, Malcolm, Moshina, etc.

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