Finite shapes cannot have these types of symmetry. Classification of shapes based on symmetry. Shapes can be classified according to their symmetry. To do so (for finite shapes, like polygons), count the number of lines of (reflection) symmetry, if any, and determine the (smallest) angle of rotation symmetry, if any.
Refinancing transactions might be completed within 30 days; however, 60 to 90-day time frames are more plausible. A lender's loan volume, workforce and other circumstances could impact processing speeds. You can ask your loan officer about the estimated time frame for refinancing your mortgage.
You probably wont even have THAT loan long enough for you to recoup the money that you paid upfront! It would take more than 5 years for you to recoup the difference. 90% of homeowners refinance within the first 5 years. What I see mostly of, however, is 2 to 3 years! At least 1% lower would be good to refi to.