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Regular hexagon  

A regular hexagon 

Edge and vertices  6 
Schläfli symbols  {6} 
Coxeter–Dynkin diagrams  
Symmetry group  Dihedral (D_{6}) 
Area (with t=edge length) 
A = \frac{3 \sqrt{3}}{2}t^2 \simeq 2.598076211 t^2. 
Internal
angle (degree) 
120° 
Properties  convex, cyclic, equilateral, isogonal, isotoxal 
A regular hexagon can also be created as a truncated equilateral triangle, with Schläfli symbol t{3}. This form only has D_{3} symmetry. In this figure, the remaining edges of the original triangle are drawn blue, and new edges from the truncation are red. 
The hexagram can be created as a stellation process: extending the 6 edges of a regular hexagon until they meet at 6 new vertices. 
A concave hexagon 
A selfintersecting hexagon 
Cube (3D) 
Octahedron (3D) 
16cell (4D) 
5simplex (5D) 
Archimedean solids  

truncated tetrahedron 
truncated octahedron 
truncated icosahedron 
truncated cuboctahedron 
truncated icosidodecahedron 
Prismoids  

Hexagonal prism 
Hexagonal antiprism 
Hexagonal pyramid 
Other symmetric polyhedra  

Truncated triakis tetrahedron 
Truncated rhombic dodecahedron 
Truncated rhombic triacontahedron 
The hexagon can form a regular tessellate the plane with a Schläfli symbol {6,3}, having 3 hexagons around every vertex. 
A second hexagonal tessellation of the plane can be formed as a truncated triangular tiling, with one of three hexagons colored differently. 
A third tessellation of the plane can be formed with three colored hexagons around every vertex. 
Trihexagonal tiling 
Trihexagonal tiling 

Rhombitrihexagonal tiling 
Truncated trihexagonal tiling 
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