Tesseractic symmetry

Tesseractic symmetry, also known as hexadecachoric symmetry or tessic symmetry and notated as B4 or BC4, is a 4D spherical Coxeter group. It is the symmetry group of the regular tesseract and hexadecachoron.

Convex polytopes with BC4 symmetry

 * Tesseract (regular)/Hexadecachoron (regular)
 * Rectified tesseract (isogonal)/Joined tesseract (isotopic)
 * Rectified hexadecachoron (isogonal)/Joined hexadecachoron (isotopic)
 * Truncated tesseract (isogonal)/Tetrakis hexadecachoron (isotopic)
 * Truncated hexadecachoron (isogonal)/Hexakis tesseract (isotopic)
 * Tesseractihexadecachoron (isogonal)/Disphenoidal enneacontahexachoron (isotopic)
 * Small rhombated tesseract (isogonal)/Notched enneacontahexachoron (isotopic)
 * Small rhombated hexadecachoron (isogonal)/Small notched enneacontahexachoron (isotopic)
 * Great rhombated tesseract (isogonal)/Sphenoidal hecatonenneacontadichoron (isotopic)
 * Great rhombated hexadecachoron (isogonal)/Small sphenoidal hecatonenneacontadichoron (isotopic)
 * Small disprismatotesseractihexadecachoron (isogonal)/Triangular-antitegmatic hexacontatetrachoron (isotopic)
 * Prismatorhombated tesseract (isogonal)/Deltopyramidal hecatonenneacontadichoron (isotopic)
 * Prismatorhombated hexadecachoron (isogonal)/Rhombipyramidal hecatonenneacontadichoron (isotopic)
 * Great disprismatotesseractihexadecachoron (isogonal)/Tetrahedral triacosioctacontatetrachoron (isotopic)