Beautiful functions

The first task for our current mission is to create a 2D shape that can be used as a cross section for a vase. We will use polar coordinates to create a circular shape and a function that alters the radius based on the rotational angle to make it look more interesting.

We will also add a GUI using the controlP5 library by Andreas Schlegel to enable the users of our sketch to modify the curve.

Engage Thrusters

Let's start drawing curves:

1. Start a new Processing sketch and add the setup() and draw() methods.

   void setup() {
   }
   
   void draw() {
   }

2. Now add two float arrays that will hold the vertex coordinates of our shape. Also add the initialization code to your setup() method. We will use a vertex every 5 degrees, so we need 72 vertices for our shape.

   float vertx[];
   float verty[];
   void setup() {
     size(400,400);
     vertx = new float[72];
     verty = new float[72];
   }

3. To create the values for our coordinates, we add two methods; one that calculates the radius of our polar coordinates for...