Regular tetrahedron: 4 equilateral triangles, 6 edges, 4 vertices.
Cube or regular hexahedron: 6 squares, 12 edges, 8 vertices.
Regular octahedron: 8 equilateral triangles, 12 edges, 6 vertices.
Regular dodecahedron: 12 regular pentagons, 30 edges, 20 vertices.
Regular icosahedron: 20 equilateral triangles, 30 edges, 12 vertices.