How do you make a spiral in mathematics?

To create a spiral in mathematics, you can use polar coordinates, where the position of a point is defined by a radius ( r ) and an angle ( \theta ). A common formula for a simple spiral is ( r = a + b\theta ), where ( a ) and ( b ) are constants that control the starting radius and the spacing between turns. By varying ( \theta ) from 0 to a desired value, you can plot points that trace out the spiral shape. Alternatively, you can also create spirals using parametric equations in Cartesian coordinates.