EULER'S FORMULA
F + C = E + 2
F
=
number of faces
C
=
number of corners (vertices)
E
=
number of edges
Tetrahedron
F
=
4
C
=
4
E
=
6
4 + 4 = 6 + 2
Cube
F
=
6
C
=
8
E
=
12
6 + 8 = 12 + 2
Octahedron
F
=
8
C
=
6
E
=
12
8 + 6 = 12 + 2
Dodecahedron
F
=
12
C
=
20
E
=
30
12 + 20 = 30 + 2
Icosahedron
F
=
20
C
=
12
E
=
30
20 + 12 = 30 + 2