a cube has 8 edges
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.
The shape with 8 vertices, 12 edges, and 6 flat faces is an octahedron. It is a type of polyhedron that is characterized by having eight triangular faces. Each vertex of the octahedron is formed where four edges meet, and it is one of the five Platonic solids.
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.
A 3D shape with 16 edges is a cuboctahedron. This polyhedron features 8 triangular faces and 6 square faces, resulting in a total of 16 edges. Another example is a truncated tetrahedron, which also has 16 edges. Both shapes are classified as Archimedean solids.
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.