ABSTRACT
To understand why, we need to think about the angles in the shapes. In the triangle tessellation (Figure 18.1), each internal angle is 60°, and 6 triangles can be thought of as ‘sharing a corner’ (C in Figure 18.1). 6 × 60 makes 360°, the complete turn constituted by the point where the corners are ‘shared’. The internal angles of a regular hexagon are 120°, and three of them share a corner in Figure 18.3. 120° × 3 = 360°. Four squares share a corner, and hence we have 4 × 90° = 360° (see Figure 18.2).
