Original sentence: At 45 degrees rotation, 30 degrees, or 90 degrees,  it retains its shape, and its physical structure.Changes, such as those just mentioned, are called transformations.For example, when rotating a cone, in space, to any increment of angular measurement, the cone is still the same cone.For gauge theory, it is important to have a working definition of symmetry in physics, which is, as follows: a physical system or object stays the same after a change has been applied.The cone then is symmetrical, because there is no alteration in its shape or physical structure, from any frame of reference, to any other frame of reference.The same is true if the cone is turned upside down, or pointed, continuously, or incrementally, in any direction