If Jesus was God, why did he pray to himself? Is the idea of trinity basically one schizophrenic God?

When the Christians speak about the Father in Heaven they have a certain mental picture in mind, of an elderly man some what like Santa Claus sitting on one of the planets with the earth as his foot stool. When they speak about the son, they have a certain mental picture in their mind. A tall handsome man, who has a beard and long hair; somewhat like Jeffery Hunter who did the role of Jesus in the film ‘King of Kings’. When they speak about the Holy Ghost they have a certain mental picture in mind like that of a dove that came upon Jesus when he was baptised or like a spirit at the feast of Pentecost. If we ask the Christians "How many mental pictures do you have when you speak about Trinity?" they say "We have only one picture". They lie when they say this, for 1 + 1 + 1 = 3 and not 1.