Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, the omnitruncated tesseract (or omnitruncated 16-cell) is a uniform polychoron (or uniform 4-dimensional polytope) bounded by 80 cells: 8 great rhombicuboctahedra, 16 truncated octahedra, 24 octagonal prisms, and 32 hexagonal prisms.The omnitruncated tesseract can be constructed from the cantitruncated tesseract by radially displacing the great rhombicuboctahedral cells so that octagonal prisms can be inserted between their octagonal faces. As a result, the triangular prisms expand into hexagonal prisms, and the truncated tetrahedra expand into truncated octahedra.
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