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Can a regular polygon with an angle measure of 140 degrees be used by itself to make a tessellation?
In order to make a tessellation, many versions of the shape need to be able to be slotted together without any space between them. This means that, at the points where the corners meet, the angles should add up to 360. In the case of squares, the angles are 90, and four of these make 360, so squares can tessellate. If a polygon has an angle measure of 140 degrees, then no amount of these angles can add up to 360, as 140 isn't a factor of 360. Thus the shape would be unable to tessellate in the strict mathematical sense.
What is a regular tessellation?
A regular polygon has 3 to 5 or more sides and angles, they should be all equaled. A regular tessellation means a tessellation made up of congruent regular polygons.
What two angles make up the right angle in a kite frame?
acute
What is the meaning of the word tessellation?
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. In Latin, tessella was a small cubical piece of clay, stone or glass used to make mosaics. The word "tessella" means "small square" (from "tessera", square, which in its turn is from the Greek word for "four"). It corresponds with the everyday term tiling which refers to applications of tessellation, often made of glazed clay. Tessellation in terms of tiling or mosaic means shapes - which can be regular, irregular, or representing a recognizable form - fitted together to form a pattern with no spaces between the shapes. The artist Maurice C Escher used tessellation a lot, quite brilliantly; you might like to look up his work on the internet.
What is the content that make up the interior of a shape?
Fill
