![]() ![]() ![]() Non-regular hexagons with central symmetry tessellate a flat surface, as shown in the following figure: Example 10: tessellation of Cairo The parallelogram tiles a flat surface, but unless it is a square it cannot form a regular tessellation. It is irregular because a node is not a common vertex of at least three squares and there are also neighboring squares that do not completely share an edge. Example 7įigure 9 shows an example of irregular tessellation, in which all the polygons are regular and congruent. Irregular tessellations are those that are formed by irregular polygons, or by regular polygons but that do not meet the criterion that a node is a vertex of at least three polygons. It is a tessellation consisting of triangles, squares and hexagons, in the configuration 3.4.6.4, which is shown in figure 8. ![]() Example 6: rhombi-tri-hexagonal tessellation Figure 7 clearly illustrates this type of tessellation. Like the tessellation in the previous example, this one also consists of triangles and hexagons, but their distribution around a node is 3.3.3.3.6. It is the one that is composed of equilateral triangles and regular hexagons in the 3.6.3.6 structure, which means that a node of the tessellation is surrounded (until completing one turn) by a triangle, a hexagon, a triangle and a hexagon. Some examples of semi-regular tessellations are shown below.
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