The 57-Cell
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A cube is made from squares. A tesseract is made from cubes. The four-dimensional 57-cell is made from 57 hemi-dodecahedra, Coxeter's name for a Petersen graph with six faces. The skeleton of this polytope is the Perkel graph. The top set of sliders changes the symmetrical embedding for the underlying graph. The cells can overlap (in green) with zero, one, or five edges (a face). Each cell shares a face with six other cells.
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Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA
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