Digonal antiprismatic symmetry

Digonal antiprismatic symmetry
Rank	3
Space	Spherical
Order	8

Digonal antiprismatic symmetry, also known as dappic symmetry and notated (B₂×A₁)/2, is a 3D spherical symmetry group. It is the symmetry group of the tetragonal disphenoid and is the digonal member of the family of antiprismatic symmetries. It occurs as a subsymmetry of tetrahedral, octahedral, and icosahedral symmetries.

Subgroups

• (B₂+×A₁)/2 (maximal)
• K₃+ (maximal)
• K₂×I (maximal)
• K₂+×I
• A₁×I×I
• I×I×I

Convex polytopes with (B₂×A₁)/2 symmetry

• Tetragonal disphenoid (noble)
• Rectangular trapezoprism (isogonal)/Digonal scalenohedron (isotopic)