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What is a basic design element in a tessellation?
The work "tessellation" is derived from a tessella, a small cuboid clay tile which was used to make mosaics. In the context of tessellation, as the term is used in modern geometry, the basic element is a plane shape such that multiple copies of the shape will cover a plane without gaps or overlaps.
Can a regular quadrilateral be used by itself to make a tessellation?
Tessellation is defined as the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions. A periodic tiling has a repeat pattern. A regular quadrilateral can be used by itself to make a tessellation.
What vocabulary is used in the making of and describing a tessellation?
Tessellation comprising using multiple copies of a plane (2-dimensional) shape to fill a plane without gap or overlap.
Is depth a tessellation?
No. Tessellation is a process by which identical shapes, usually polygons, are used to cover a plane without any gaps or overlaps.
What does semi regular tessellation have?
It has two regular polygons which can be used together to tessellate a plane.
Can a square be used to make a tessellation?
Yes
What can be used to make a regular tessellation?
The only shapes which will make a regular tessellation are:an equilateral trianglea squarea regular hexagon.
Can a regular hexagon be used by itself to make a tessellation?
no
Can a regular PENTAGON be used to make a tessellation?
No, it cannot.
Can a triangle and a rhombus be used to make a tessellation?
Yes.
Can an equilateral triangle be used to make a regular tessellation?
Yes.
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.
