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  2. Hexagon - Wikipedia

    en.wikipedia.org/wiki/Hexagon

    There are 16 subgroups. There are 8 up to isomorphism: itself (D 6), 2 dihedral: (D 3, D 2), 4 cyclic: (Z 6, Z 3, Z 2, Z 1) and the trivial (e) These symmetries express nine distinct symmetries of a regular hexagon. John Conway labels these by a letter and group order. [4] r12 is full symmetry, and a1 is no symmetry.

  3. Hexagonal prism - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_prism

    Alternately it can be seen as the Cartesian product of a regular hexagon and a line segment, and represented by the product {6}×{}. The dual of a hexagonal prism is a hexagonal bipyramid . The symmetry group of a right hexagonal prism is D 6h of order 24.

  4. List of polygons, polyhedra and polytopes - Wikipedia

    en.wikipedia.org/wiki/List_of_polygons...

    A polytope is a geometric object with flat sides, which exists in any general number of dimensions. ... Hexagon: Pentagon: Uniform polyhedron: ... 1 32 • 2 31 • 3 ...

  5. List of two-dimensional geometric shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_two-dimensional...

    This is a list of two-dimensional geometric shapes in Euclidean and other geometries. For mathematical objects in more dimensions, see list of mathematical shapes. For a broader scope, see list of shapes.

  6. List of polygons - Wikipedia

    en.wikipedia.org/wiki/List_of_polygons

    A pentagon is a five-sided polygon. A regular pentagon has 5 equal edges and 5 equal angles. In geometry, a polygon is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain.

  7. Hexagonal pyramid - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_pyramid

    A hexagonal pyramid has seven vertices, twelve edges, and seven faces. One of its faces is hexagon, a base of the pyramid; six others are triangles. Six of the edges make up the pentagon by connecting its six vertices, and the other six edges are known as the lateral edges of the pyramid, meeting at the seventh vertex called the apex.

  8. List of uniform polyhedra - Wikipedia

    en.wikipedia.org/wiki/List_of_uniform_polyhedra

    Four numbering schemes for the uniform polyhedra are in common use, distinguished by letters: [C] Coxeter et al., 1954, showed the convex forms as figures 15 through 32; three prismatic forms, figures 33–35; and the nonconvex forms, figures 36–92.

  9. 4-polytope - Wikipedia

    en.wikipedia.org/wiki/4-polytope

    1 5-tetrahedron: 2 8-tetrahedron: 2 4-cube: 4 6-octahedron: 20 30-tetrahedron: 12 10-dodecahedron: Inscribed 120 in 120-cell 675 in 120-cell 2 16-cells 3 8-cells 25 24-cells 10 600-cells Great polygons: 2 squares x 3 4 rectangles x 4 4 hexagons x 4 12 decagons x 6 100 irregular hexagons x 4 Petrie polygons: 1 pentagon x 2 1 octagon x 3 2 ...