I must admit I am a bit surprised: can you just change they way the atoms in the coin are packed, so that they take up less space? Or is something being squeezed out of the coin to make up for the lost space? Or is it actually the same size as before, only now it is thicker and less wide?
I just didn't think that the packing of atoms could easily be changed - wouldn't that be a completely new material?
"A shrunken coin weighs exactly the same as before, and its density also remains unchanged. The coin becomes thicker as its diameter is reduced, but the overall volume of the coins stays the same."
(And of course glasses do not in general have the same density as crystalline forms of the same materials.)
A few years back (5? 7?) there was a startup working on a new memory technology based on polymorphic crystallization. To update a bit, you would melt the material in a cell on the chip, and then let it cool over some period of time; I think the number was something like 2 ns for a 0, 5 ns for a 1, resulting in one of two different polymorphs. The two polymorphs of the material had a difference in some electrical property (permittivity? resistivity?) that permitted you to tell which form had been crystallized. (I was told about the technology under "friend NDA", but I'm pretty sure that this is both late enough and vague enough to be okay.)
(I'm not a materials scientist; I'm just interested in stuff.)
Seeing the title I assumed they were talking about making a dime-sized coin with the value of a quarter. It's probably more now, given the increase in value of precious metals, but the last time I checked, about 3-4 years ago, a silver dime was worth a quarter.
I just didn't think that the packing of atoms could easily be changed - wouldn't that be a completely new material?