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In geometry, a polychoron or 4-polytope is a four-dimensional polytope. It is a connected and closed figure, composed of lower dimensional polytopal elements: vertices, edges, faces (polygons), and cells (polyhedra). Each face is shared by exactly two cells.
The hypercube or Tesseract (4D Cube) is one of the most well known polychorons. The pentachoron is the secound.