This is the case of the duplex and triplex. Linked Honeycomb Houses ideally joins back to back and are accessed from different cul-de-sacs. Houses that link up in this tessellation form the basis of new house types. In terms of geometrical construction, the pattern is simple. Tessellate again to form a block of about 250 houses. Tessellate to form three courtyards that link to become a cul-de-sac of 46 houses. Tessellate to form a courtyard of 16 houses.

It contains three requisite elements of a township layout: In Tessellation planning, the creative power of tessellation is applied to town planning, where the colours are not merely decorative but represent functional space.Ī small triangular tile, the mother-tile is the basic building block that creates the honeycomb layout. Intricate and complex designs can be built-up from basic tile patterns in a simple way by this process. The Muslim craftsmen in Spain in the 14th century created beautifully complex visual effects by tessellating a small simple basic tile pattern. There are the eight semi-regular tessellations. The arrangement of polygons at every vertex point is identical. A semiregular tessellation has two properties which are:Ģ. You can also use a variety of regular polygons to make semi-regular tessellations. Only three regular polygons tessellate in the Euclidean plane: triangles, squares or hexagons. Congruent means that the polygons that you put together are all the same size and shape. Regular means that the sides of the polygon are all the same length. A regular tessellation means a tessellation made up of congruent regular polygons. A regular polygon has 3 or 4 or 5 or more sides and angles, all equal. In mathematics, to tessellate means to cover a plane with a pattern without gaps or On the other hand, Romans and other Mediterranean peoples have incorporated detailed illustrations of humans and natural scenes into their designs.

Nevertheless, their works of intricate design are nothing short of breathtaking. The Moors have consequently created only abstract geometrical works composed of simple shapes. They were used to make up 'tessellata' - the mosaic pictures forming floors and tilings in Roman buildings.įor example, the Islamic religion forbids the representation of living objects in works of art. The word 'tessella' also means 'small square' (from 'tessera', square, which in its turn is from the Greek word for 'four'). In Latin, 'tessella' was a small cubical piece of clay, stone or glass used to make mosaics. Tiling is the simplest form tessellations. It would often look more beatifull too.Īny repeating pattern of shapes that cover a plane without overlap is considered a tessellation. To decorate a large surface, it is easier to use a repeating pattern rather than a haphazard non-repeating one. The second is to do with the design of housing layout to sreate neighbourhoods. There are two parts to Tessellation Planning: the first is the use of tessellation geometry to create a layout plan.

Easy math tessellation