The link you posted is to a Proof. This is a business strike. Any similarity is coincidental. The last photo is pretty good...but I don't see any doubling in the date. I also didn't see the common traits associated with the common master hub doubling as associated with the link provided to you. To the point of others, you are more likely to get a master hub doubled 1972 cent (P, D, and S) than a normal cent. Because of the huge numbers of honestly doubled cents for the year, it nullifies the value. Other years with master hub doubling fair better to that extent. But you do have the rarer of the business strike 1972 S cents. Worth holding onto.
If u look with a loupe u can see the layers of doubting especially in the date.....looks like it has about 3 or 4 layers
Looks like a proof to me its more square than it is round.....I don't think its a business strike.....
The surface isn't mirrored, so it's no proof. In addition, it's no doubled die. Your latest closeups show that with doubling on both sides of the digits. That doesn't happen in a doubled die. Sorry you took all this effort, but that's the verdict.
Just stick with it, you'll get one. Your photographs are high-quality enough for us to see it and you're asking all the right questions. You keep this up and before too long you're going to be answering more questions than your asking, and you're going to know what you're talking about, when you do.
Thank u very much I have done alot of studying and alot of time invested but I learn something new everyday....