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Basically, to serve as tiles, or "tesellate", as they say, the angles have to be an exact factor of 360°.

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Q: Why do some regular polygons serve well as tiles and others do not?
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Will a regular polygon tile?

There are only three regular polygons which with tile. These a re a triangle, quadrilateral (square) and hexagon.This is because if there are n tiles meeting at a point, then the sum of the angles around that point must be 360 degrees - otherwise the polygons will overlap. The only regular polygons with interior angles that are factors of 360 are the ones mentioned above.


What shapes are able to be tiled?

Squares or rectangles.Answer:Shapes which can be tiled (fit together without spaces or overlaps) are said to exhibit tessellation. These can be as simple as two dimensional shapes (squares and triangles) or as complex as the drawings by M.C. Escher who made tiles of birds and fishes.In general tiling shapes can be regular polygons (all the same) or mixtures of different shapes of regular polygons. More exotic shapes are developed by mathematicians. These include tiles using irregular polygons and three dimensional shapes.


Where are polygons found in bathrooms?

Often the floor or wall tiles. The walls and ceiling, the windows, mirrors, cupboard doors . . .


Difference between pool tiles and regular tiles?

Pool tiles have a harder surface. They can tolerate being in constant contact with water and harsh pool chemicals


Travertine Tiles versus others?

Travertine tiles are designed to work with high traffic areas. The traditional vinyl tiles are more eaily stained, and often times will need to be replaced for sooner then travertine tiles.


What materials are used to create Islamic art?

Tiles, bricks and others.


What are the characteristics of shapes that can be tessellated?

A tessellation or tiling of the plane is a collection of plane figures that fills the plane with no overlaps and no gaps. One may also speak of tessellations of the parts of the plane or of other surfaces. Generalizations to higher dimensions are also possible. Tessellations frequently appeared in the art of M C Escher. Tessellations are seen throughout art history, from ancient architecture to Modern Art.A regular tessellation is a highly symmetric tessellation made up of congruent regular polygons. Only three regular tessellations exist: those made up of equilateral triangles, squares or hexagons. A semiregular tessellation uses a variety of regular polygons; there are eight of these. The arrangement of polygons at every vertex point is identical. An edge-to-edge tessellation is even less regular: the only requirement is that adjacent tiles only share full sides, i.e. no tile shares a partial side with any other tile. Other types of tessellations exist, depending on types of figures and types of pattern. There are regular versus irregular, periodic versus aperiodic, symmetric versus asymmetric, and fractal tessellations, as well as other classifications.Penrose tiling using two different polygons are the most famous example of tessellations that create aperiodic patterns. They belong to a general class of aperiodic tilings that can be constructed out of self-replicating sets of polygons by using recursion.


Does a semi circle tessellate?

no A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps. Another word for a tessellation is a tiling. Read more here: What is a Tiling? A dictionary* will tell you that the word "tessellate" means to form or arrange small squares in a checkered or mosaic pattern. The word "tessellate" is derived from the Ionic version of the Greek word "tesseres," which in English means "four." The first tilings were made from square tiles. A regular polygon has 3 or 4 or 5 or more sides and angles, all equal. A regular tessellation means a tessellation made up of congruent regular polygons. [Remember: Regular means that the sides of the polygon are all the same length. Congruentmeans that the polygons that you put together are all the same size and shape.]


Can ceramic tiles or porcelain be used in mobile home?

Yes, just do all the conventional things as you do in a regular house.


What is the purpose of using tile cleaners?

You will need to use tile cleaners if your tiles are dirty and you can't clean them up with regular cleaning fluids. They are specially designed so that they won't scratch or damage the tiles.


What elements are arranged in a regular geometric pattern?

Atoms in a crystal lattice, tiles in a mosaic, and molecules in a polymer are examples of elements arranged in a regular geometric pattern.


What is an example of a decagon in real life?

-There are coins in the shape of a regular decago -swimming pools -cookies -floor tiles especially