A Level Further Maths: Demystifying Polar Coordinates through Shapes
The above shape is known as cardioid in mathematics. It is produced by the polar equation, r = a(1 + cos(ฮ)), where a can be an integer.
You can practise a cardioid with the following simulation and see how r and ฮ do the magic to produce the shape.
You can practise a cardioid with the following simulation and see how r and ฮ do the magic to produce the shape.
Rose Petals
You can practise the creation of shapes with the following applet interactively: note the value of n, an odd number, and the number of petals.
Fermat's Spiral
The polar equation of Fermat's Spiral is as follows:
r = a√ฮ, where a > 0.
Fermat's spiral is produced as follows:
