Quadratus is a water being located on Inkwell Isle Two. He is located on the very far right of the island and requires no bosses to be defeated prior to see him.
Quadratus is in a pool of water, a face forms in the middle when you approach him. The face resembles an old, bearded man with glasses and a big nose.
Quadratus' role is to tell the player how many times you have died. When you go speak to him, he says the following:
"Through all your battles and all my rhymes, you have failed and perished n times"
The face then swiftly disappears. This can be done as many times as you like, as it is purely to tell you how many deaths you have.