Demitesseractic symmetry

Demitesseractic symmetry, also known as demitessic symmetry and notated as D4, is a 4D spherical Coxeter group. It is the symmetry group of the demitesseract (a hexadecachoron with two types of 8 tetrahedra).

Convex polytopes with D4 symmetry

 * Demitesseract (isogonal)/Semistellated hexadecachoron (isotopic)
 * Rectified demitesseract (isogonal)/Joined demitesseract (isotopic)
 * Truncated demitesseract (isogonal)/Hexakis semistellated hexadecachoron (isotopic)
 * Small rhombated demitesseract (isogonal)/Triangular-tegmatic triacontadichoron (isotopic)
 * Great rhombated demitesseract (isogonal)/Sphenoidal enneacontahexachoron (isotopic)
 * Prismatorhombated demitesseract (isogonal)/Notched enneacontahexachoron (isotopic)
 * Great prismated demitesseract (isogonal)/Tetrahedral hecatonenneacontadichoron (isotopic)