It is an octahedron which is one of the Platonic Solids having 8 equilateral triangular faces and 12 edges.
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A cube and a cuboid of which both have 8 vertices, 12 edges and 6 faces
There are different numbers on the different platonic solids.
spheres
A rectangular prism (cuboid) and a hexagon-based pyramid, for example, both have 12 edges. Of the five Platonic solids, an octahedron and a cube each have 12 edges.
A cube has 12 edges as does an octahedron and those are the two platonic solids (convex polyhedra with congruent regular polygons as faces where the same number of faces meet at each vertice) with 12 edges.
Symmetry. Perfect symmetry. Equality of angles, edges and vortices.
Spheres
5 vertices and 8 edges.5 vertices and 8 edges.5 vertices and 8 edges.5 vertices and 8 edges.
There are only 5 known regular Platonic solids and they and their properties are:- 1 Tetrahedron: (pyramid) 4 equilateral triangle faces, 6 edges and 4 vertices 2 Hexahedron (cube) 6 square faces, 12 edges and 8 vertices 3 Octahedron: 8 equilateral triangle faces, 12 edges and 6 vertices 4 Dodecahedron: 12 regular pentagon faces, 30 edges and 20 vertices 5 Icosahedron: 20 equilateral triangle faces, 30 edges and 12 vertices All of them can be inscribed inside a sphere.
a sphere has no edgesOf the solids with planar faces and line edges the tetrahedron has the fewest edges and faces. (Four faces and six edges)