Mathematics is a jungle: a jubilee of flowering plants and mysterious animals. The mathematician is a naturalist, describing the behaviours of whatever she encounters on her tours. With the advent of computers and modern technologies, the dispatches of the naturalist can now be illustrated in full colour. In my own travels, I’ve collected some illustrations that I hope will surprise and delight you. I’ll show you – in technicolour – some of the lesser-known antics of the inhabitants of the mathematical realm, including complex and rational numbers and the roots of polynomials.