A cone !
A cone.
An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. The number of faces at a vertex ranges from 3 to 7.
A cone
The concept of a vertex, which is the intersecting point between two or more geometrical shapes, is meaningless in this case. A point can't have a vertex since it has no shape. A vertex, however can be a point. For example, if one 2-D line intersects another 2-D line, that point of intersection is the vertex.
a cone
A cone !
All in the world a vertex is, is a corner (or where the edges meet) of any shape...not just 3d but of course it can be:)
That would usually be referred to as a vertex.
A cone.
An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. The number of faces at a vertex ranges from 3 to 7.
A cone
One possible answer is an infinite cone. Spheres have one face but no vertex. No physical 3-D shape can have a vertex without having more than one face (a real cone typically has two: side and bottom).
A triangle
=None!=
The concept of a vertex, which is the intersecting point between two or more geometrical shapes, is meaningless in this case. A point can't have a vertex since it has no shape. A vertex, however can be a point. For example, if one 2-D line intersects another 2-D line, that point of intersection is the vertex.
A vertex of a 3-d object, such as a star, where 6 faces meet.