is all sort of doodling haram?

according to the hadeeth you posted creating images/drawings of living beings (human and animals) is haram but drawing non living thing is fine .:konfused: My question still confuses me ,will the imaginary characters be considered halal.Like lets say i adore making monsters but monsters dont exist.So would they be allowed to make?
And i donot agree with your frist reply which says we can draw incomplete face.What difference would it make if we draw the same eye/nose which God has created?