We haven't proven whether there's a general method for determining the exact number of ways any given shape can be divided into smaller identical pieces.
open
Global / Unspecified, Global
Dissection problems, which ask how shapes can be cut and rearranged, often lack complete general solutions beyond specific well-studied cases. This remains an open and often surprisingly difficult area of combinatorial geometry.
Citation ID: WS01296
Title: We haven't proven whether there's a general method for determining the exact number of ways any given shape can be divided into smaller identical pieces.
URL: https://www.worldsolve.org/index.php?api=problem&id=1296