What does Tessellate mean in maths?

A tessellation of a flat surface is 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 and a variety of geometries. A tiling that lacks a repeating pattern is called “non-periodic”.Click to see full answer. Regarding this, what is an example of a tessellation?Art, architecture, hobbies, and many other areas hold examples of tessellations found in our everyday surroundings. Specific examples include oriental carpets, quilts, origami, Islamic architecture, and the are of M. C. Escher.One may also ask, what are the three rules of tessellation? REGULAR TESSELLATIONS: RULE #1: The tessellation must tile a floor (that goes on forever) with no overlapping or gaps. RULE #2: The tiles must be regular polygons – and all the same. RULE #3: Each vertex must look the same. Consequently, what shapes can tessellate? Shapes that tessellate. Triangles, squares and hexagons are the only regular shapes which tessellate by themselves. You can have other tessellations of regular shapes if you use more than one type of shape. You can even tessellate pentagons, but they won’t be regular ones.What is another word for tessellation?tessa, tesselate, tessellate, tessellated, tessellated fundus, tessellation, tessera, tesseract, tessie, tessin, tessitura.