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Bill Cipher is sometimes referenced as an Isosceles Monster or a Snappy Dresser, but he is the odd triangular man/demon with powers over the mind that haunts Gravity Falls and oversees the secrets of the world.
Bill is clearly designed and inspired by the Eye of Providence - a holy symbol used in some fashion all over the world. Loosely it means "(a) God watches over Humankind". This is most likely why it was incorporated into The Great Seal of America - a double sided insignia that appears on the back of every dollar bill.
On the dollar, the Eye of Providence sits atop a pyramid with 13 steps - each representing one of the original 13 states. Because of the Eye's placement on the dollar and it's strong bonds to the iconography of the Freemasons, many speculate that this is proof that the Freemasons had a direct hand in formation of the United States!
Bill Cipher is an insane and powerful demon that can be summoned and bartered with. He has strong powers over the mind which include possession, mindreading, and wielding nightmares. Although he claims to be all-knowing, his powers did not allow him access to Stanford Pines mind or it's secrets. He was also nearly defeated by Dipper, Mabel, and Soos after they realized they were only limited by their imagination in the dreamworld.
But what do you think? Is Bill a friend, a foe, or something in between? Leave your theories and suggestions in the comments below!
BILL CIPHER AND THE EYE OF PROVIDENCE [GRAVITY FALLS]: The Royal Order of the Holy Mackerel