# V - E + F = 2

where

- V = number of vertices
- E = number of edges
- F = number of faces

## Tetrahedron

### V = 4

### E = 6

### F = 4

### 4 - 6 + 4 = 2

## Cube

### V = 8

### E = 12

### F = 6

### 8 - 12 + 6 = 2

## Octahedron

### V = 6

### E = 12

### F = 8

### 6 - 12 + 8 = 2

## Dodecahedron

### V = 20

### E = 30

### F = 12

### 20 - 30 + 12 = 2

## Icosahedron

### V = 12

### E = 30

### F = 20

### 12 - 30 + 20 = 2

## Buckyball

### V = 60

### E = 90

### F = 32 (12 pentagons + 20 hexagons)

### 60 - 90 + 32 = 2

Pop Quiz

Higher-dimensional versions of Euler's formula.