This is called a Swedish flame. Make your cuts like you're cutting cake, leave about 6 inches at the base, throw about a cap full of fuel oil in it. It burns up to two to three hours Can use olive oil instead of fuel oil :-) Any oil will burn!
How To Make a Reading Lamp from a Hardcover Book by Steve Hoefer (Inventor, CA) & Grathio Labs. It turns off when closed & gives off a variable amount of light depending on how far you open it, up to about a light equivalent.