[Phys-L] Impossible?

[Donald Polvani <dgpolvani@gmail.com>]

> From the NYT, 11/3/25
"Two decades ago, the mathematician Moon Duchin spent her summers teaching geometry at Mathcamp, ... Another favorite was a famous “decomposability” paradox."
“You can take a solid ball, cut it into five pieces that don’t overlap, move those pieces around and reconstruct two solid balls that are the same size as the one you started with,” Dr. Duchin, a professor of computer and data science at the University of Chicago, said in a recent interview." “That’s really weird, right?”
Not only weird but impossible (it seems to me), since by a repeat process on each new solid ball an infinite amount of mass could be produced from a finite amount.
Don Polvani
Retired Adjunct Lecturer, Physics
Anne Arundel Community  College