Of course the most famous account of the Bandersnatch comes from Lewis Caroll's 1872 novel "Through the Looking-Glass" and the poem "Hunting of the Snark." This is where the Bandersnatch is coined as "frumious" though it is still unclear what is meant by this archaic adjective. Many argue that the term is simply nonsense designed to entertain the children that the works of fiction where written for much like the writings of Dr. Zeus - a famous author popular with muggle children all over the world. However, many argue that frumious is a concise way of describing the creatures fuming and furious nature. 

If Lewis Caroll was writing from experience, he had clearly witnessed the beast's incredible speed - a quality that several others describe. Later in Through the Looking-Glass the White King compares his queen to the Bandersnatch when commenting on her speed, 

"She runs so fearfully quick. You might as well try to catch a Bandersnatch!" (Caroll, L, Through the Looking-Glass, 1872)

Another recurring feature the Bandersnatch is described as having are two rows of razor sharp teeth. The famous magizoologist, Newt Scamander, in his journals wrote of the Bandersnatch. 

"While I was aware, in the dark and tangled forest, of the feeling I was being followed, suddenly a flash of a thing moved across my range of sight and away. Later, I approached the creature quietly as it slept. It's mouth held four rows of deadly sharp teeth - two at the top and two at the bottom. I judge for myself that I would do well to move on swiftly and without waking the beast."  (Scamander. N, Journals 1918-1919.)

Sketch taken from the Journal of Newton Scamander, 1919