will lead you to the following, many of which don't even get their own wikipedia page: pentachoron (with 5 tetrahedral cells) (also called a "4- simplex ") tesseract (with 8 cubic cells) (also called a " hypercube ") hexadecachoron (with 16 tetrahedral cells) icositetrachoron (with 24 octahedral cells) hecatonicosachoron (with 120