The basic slush lamp has 4 parts: 1) a small vessel that holds oil for fuel, 2) oil – whether vegetable or mineral in nature, 3) a wick that draws the fuel by capillary action, 4) an optional but helpful wick holder that stabilizes the wick and limits the flame spread. Fats can be used in similar fashion which melt as the flame burns, but this crosses over into the category of candle, depending on the melt point of the material. A good example of this is a Quilliq.
Some years ago, when my sons and I were in Boy Scouts, we went to a “snow camp” for a weekend. Being from the Bay Area in California, this opportunity to experience snow was novel for us. The first year we went I built a Quinzee shelter, and realized that a traditional feature would be a Quilliq for light and warmth. So, I rummaged around for an empty soda can and cut it with my knife about 1 1/2 inches from the bottom. I visited the cooks in the camp’s kitchen who provided me with vegetable oil and a paper towel that I rolled into a wick. Thus, I was able to improvise a modern day slush lamp.
The photo illustrates a more rustic slush lamp displaying the 4 parts. The wick is a piece of cotton batting, using vegetable oil as fuel. A bigger vessel lasts longer but if too large is not as portable. I would love to see other examples of slush lamps if you have made some of your own.