A vertex is a corner on a polygon, polytope or polyhedron, and when faces, facets or edges of an object come together, a vertex forms; however, because a sphere features no meeting points, it has no vertices. Even though a sphere does have one continuous surface, its lack of meeting points with any other surface means that it technically has no faces. Spheres have no lines, so they also have no edges.Continue Reading
Spheres have some oddities that make them different from all other three-dimensional objects that students learn about in geometry. It always has perfect symmetry, by definition, and it is not a polyhedron (because it has no faces). On any sphere, all of the surface points are precisely the same distance from the middle.
Among all of the three-dimensional shapes, spheres can contain the most volume for a set surface area. This means that when comparing a pyramid and sphere with identical surface area values, for example, the sphere has more volume. To see proof of this in action, an individual can pick up a balloon and start inflating it. The flexible material allows it to take any shape, but the most efficient is a sphere (or at least a spheroid) because that holds more air than any other shape.Learn more about Shapes
A hexagonal prism has 12 vertices, along with eight faces and 18 edges. This shape has two hexagonal sides, as well as size rectangular sides that connect the sides of the hexagons.Full Answer >
A square pyramid, a pyramid with four triangular sides and one square side, is a figure with five faces, eight edges and five vertices. It is a kind of three-dimensional solid. The pyramids at Giza, Egypt are examples of such a figure.Full Answer >
An icosahedron is a regular polyhedron with 20 faces, all of which are equilateral triangles. An icosahedron has 30 edges and 12 vertices. Five equilateral triangles meet at each vertex.Full Answer >
A pyramid refers to a polyhedron created by joining a polygonal base to triangular lateral faces. There are several types of pyramids, and each is named after the shape of its base. For example, a square pyramid has a square base, and a pentagonal pyramid has a base that is a pentagon.Full Answer >