How many vertives does a nonhedron have?

Answer 1

Let's suppose you mean How many vertices does a nonahedron have? And the answer is, It depends. A nonahedron is a solid with nine faces. There is no regular nonahedron (look up "Regular solid" anywhere, say on Wikipedia). You could make a nonahedron by

1. taking a cube (6 square faces, 12 vertices) and slicing off 3 of the vertices to add 3 triangular faces (and making their adjacent original faces no longer square); this solid has 16 vertices
2. taking a regular octahedron (8 triangular faces, 6 vertices) and slicing off one vertex to add one square face (the four adjacent original faces are now trapezoids): 9 vertices
   1. shaving down 5 of the edges to add 5 long narrow faces... and I can't visualize this one well enough to count the vertices
   2. or slicing off all 4 vertices (adding 4 small triangular faces and making the original faces hexagonal) and shaving one edge (adding a long rectangular face and changing the faces at the ends of the original edge from small triangles to trapezoids): 14 vertices, if I've got it right.
3. taking a tetrahedron (4 faces, 6 edges, 4 vertices) and
4. or countless other ways, yielding many different counts of vertices. ... Well, I'm sure they could be counted, but I'm not about to do it now.