Don't know. It cannot be a cone since that has two faces: one curved (curvered?) face and one flat (circular) face.
Alternatively, an infinite cone has only one curved face but then it has no edge.
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one face one vertex and two circle edges * * * * * What kind of cone is that? It has 1 edge, 2 faces (one curved and one plane), and 1 vertex.
If you mean a cone then it has a flat base face and a circular face with one edge and one vertex
A cone has one vertex, one edge, and one base.
triangle
The shape that is commonly known as a cone has two faces, one vertex and one edge. Mathematically, however, the cone has infinite height and so has one [curved] face and one vertex.