In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex. It has Schläfli symbol of {6,3} or t{3,6} (as a truncated triangular tiling). English mathematician John Conway called it a hextille.

There are only 3 regular tessellations: Look at a Vertex ... A vertex is just a "corner point". What shapes meet here? and a hexagon has 6 sides. So this is called a "6.6.6" tessellation. For a regular tessellation, the pattern is identical at each vertex! A semi-regular tessellation is made of two or more regular polygons.

In Figure \(\PageIndex{17}\), the tessellation is made of six triangles formed into the shape of a hexagon. Each angle inside a triangle equals \(60^{\circ}\), and the six vertices meet the sum of those interior angles, \(6\left(60^{\circ}\right)=360^{\circ}\).

2025年1月20日 · A hexagon tiling is a tiling of the plane by identical hexagons. The regular hexagon forms a regular tessellation, also called a hexagonal grid, illustrated above. There are at least three tilings of irregular hexagons, illustrated above.

The hexagonal pattern in Figure 10.92, is translated horizontally, and then on the diagonal, either to the right or to the left. This particular pattern can also be formed by rotations. Both tessellations are made up of congruent shapes and each shape fits in perfectly as the pattern repeats.

A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries. …

2010年4月16日 · At first glance, several facts about them stand out: Hexagons are one of only three regular polygons to tessellate the Euclidean plane (along with squares and triangles). The hexagonal tessellation is combinatorially identical to the close packing of circles on a plane.