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Holditch's theorem is a result in the field of geometry, specifically in topology related to convex polyhedra. It states that any two convex polyhedra with the same number of vertices, edges, and faces are combinatorially equivalent, meaning they can be transformed into one another through a series of edge-edge and face-face correspondences while preserving the connectivity structure.

Ancestors (6)

  1. Theorems in plane geometry
  2. Theorems in geometry
  3. Geometry
  4. Fields of mathematics
  5. Mathematics
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