Infi-nut's hologram can withstand 2000 dps; his appearance changes upon absorbing 650 and 1300 dps. He will regenerate his health after 15 seconds of not taking any damage, even if his hologram has disappeared.
He's based on Wall-nut and a hologram, a three-dimensional light projection which is often a staple of futuristic sci-fi technology.
His name is a portmanteau of "infinite" and "walnut." The word "infinite" can be pronounced /'ɪnfɪnʌt/ (homophonous with the aforementioned plant's name).
In the game's files, the Infi-nut is referred to as "Holo-nut." Holo-nut is a portmanteau of "hologram," referring to the fact that he is a hologram and "walnut," the type of plant this plant is based on.
Infi-nut's costume, a ghost trap, is a reference to the trap used to trap ghosts in the Ghostbusters franchise.
As a young nut, he spent way too much time standing between two mirrors and trying to look into infinity.