What are the types and shapes of nose cones on rockets?

Nosecones can be almost any shape and any material imaginable. Even a cube shaped nose cone can fly straight with ease. Typical cone shapes include "ogive" and "conical". They are typically made of balsa wood, plastic, and fiberglass/carbon fiber. An odd shaped nosecone can be offset by fins that are adequate to compensate for the the shape of the cone. One high-powered rocket, named "Suicide King" as seen on YouTube, actually flew without a nose cone for a nearly perfect vertical flight.