**RECOMMENDED LEVEL: A-level**

**5) ARCHIMEDEAN SPIRAL:** the spiral you see if you roll up a carpet and look side-on. Constant **separation distance** between each coil. See my video of how to draw one here or use your favourite free graph sketching software (e.g **Geogebra **or **Desmos**). **For A-level Further Maths students:** the **polar equation** is $r=aθ$ where the **parameter **a makes the (constant) separation distance between each coil larger or smaller.

**4) LOGARITHMIC SPIRAL:** a spiral in which