Blockland operates using the Cartesian coordinate system. This is a gridlike system much like the tiles on the floor of a bathroom. This system is ideal for certain things, e.g., straight lines, roads, buildings, tiles. It is not as good for other things, such as spirals. Another system, called the Polar coordinate system based on an angle and the distance from the center of a map, is much better suited for this. r=math.cos(2*θ) So, to obtain the values for x and z, we have to multiply r as follows: x = r * math.cos(θ) z = r * math.sin(θ) We now get: