BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-73-338 ENTRY:: September 25, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: A finite basis theorem revisited. TYPE:: Technical Report AUTHOR:: Klarner, David A. DATE:: February 1973 PAGES:: 10 ABSTRACT:: Let S denote a set of k-dimensional boxes each having integral sides. Let $\Gamma$(S) denote the set of all boxes which can be filled completely with translates of elements of S. It is shown here that S contains a finite subset B such that $\Gamma$(B) = $\Gamma$(S). This result was proved for k = 1,2 in an earlier paper, but the proof for k > 2 contained an error. NOTES:: [Adminitrivia V1/Prg/19950925] END:: STAN//CS-TR-73-338