| Homogeneous Hexagonal Antiprism | |
|---|---|
 | |
| Type of | Prismatic homogeneous polyhedron |
| Items | Facets 14, ribs 24, peaks 12 |
| Euler's characteristic | = 2 |
| Faces by the number of parties | 12 {3} +23 {6} |
| Wythoff Symbol | | 2 2 6 |
| Shlefly Symbol | s {2, 12} sr {2, 6} |
| Charts Coxeter |      |
| Symmetry group | D 6d , [2 + b 12], (2 * 6), 24 orders |
| Rotation group | D 6 , [6,2] + , (622), 12 orders |
| Designations | U 77 (d) |
| The properties | convex |
 Vertex figure 3.3.3.6 | 
|
In geometry, hexagonal antiprism is the 4th in an infinite number of antiprisms formed by an even number of triangular sides between two hexagonal sides.
If all faces are correct, the polyhedron is semiregular .
Related Polyhedrons
Hexagonal faces can be replaced by coplanar triangles (located in the same plane), which will lead to a non-convex polyhedron with 24 regular triangles.
| Symmetry |: [6,2] , (* 622) | [6,2] + , (622) | [6,2 + ], (2 * 3) | |||||||
|---|---|---|---|---|---|---|---|---|---|
| {6,2} | t {6,2} | r {6,2} | t {2,6} | {2.6} | rr {2,6} | sr {6,2} | s {2,6} | ||
| Polyhedrons dual to them | |||||||||
| V6 2 | V12 2 | V6 2 | V2 6 | V4.4.12 | V3.3.3.3 | ||||
| Polyhedron | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Mosaic | ||||||||||||
| Configuration | V2.3.3.3 | 3.3.3.3 | 4.3.3.3 | 5.3.3.3 | 6.3.3.3 | 7.3.3.3 | 8.3.3.3 | 9.3.3.3 | 10.3.3.3 | 11.3.3.3 | 12.3.3.3 | ... ∞.3.3.3 |
Links
- Weisstein, Eric W. Antiprism on the Wolfram MathWorld website.
- Hexagonal Antiprism: Interactive Polyhedron model
- Virtual Reality Polyhedra www.georgehart.com: The Encyclopedia of Polyhedra
- VRML model
- Conway Notation for Polyhedra Try: "A6"