The number of "prime" boxes is always finite, where a set of boxes is prime if it cannot be built up from one or more given configurations of boxes.
Box-Packing Theorem
See also
Conway Puzzle, Cuboid, de Bruijn's Theorem, Klarner's Theorem, Slothouber-Graatsma PuzzleExplore with Wolfram|Alpha
References
Honsberger, R. Mathematical Gems II. Washington, DC: Math. Assoc. Amer., p. 74, 1976.Referenced on Wolfram|Alpha
Box-Packing TheoremCite this as:
Weisstein, Eric W. "Box-Packing Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Box-PackingTheorem.html