Math Art
Hexagonal Antiprism

Hexagonal Antiprism

Hexagonal Antiprism is an antiprism, with 12 vertices, 24 edges and 14 faces, symmetry group D6d of order 24.

Open Hexagonal Antiprism in the interactive viewer →

antiprism chiral-family convex prism-family

Properties

Vertices
12
Edges
24
Faces
14
Convex
yes
Density
1
Symmetry
D6d
Orbifold
2*6
Symmetry order
24
Dual
hexagonal-trapezohedron
Volume
{'value': 2.3375417889607326, 'exact': 'sqrt(2+2*sqrt(3))', 'source': 'pslq'}
Surface area
{'value': 10.392304845413257, 'exact': '6*sqrt(3)', 'source': 'pslq'}
Circumradius
{'value': 1.0876638735805373, 'exact': 'sqrt(3+sqrt(3))/2', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(15+9*sqrt(3))/6', 'value': 0.9217805425148036}, {'face': '{6}', 'exact': 'sqrt(-1+sqrt(3))/2', 'value': 0.427799838583676}]
Midradius
{'value': 0.9659258262890681, 'exact': 'sqrt(2+sqrt(3))/2', 'source': 'pslq'}

Dual

hexagonal-trapezohedron