A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries. A periodic tiling has a repeating pattern.
A pattern of shapes that fit perfectly together! A Tessellation (or Tiling) is when we cover a surface with a pattern of flat shapes so that...
What Is a Tessellation? A tessellation is a pattern of geometric shapes that fit together perfectly on a plane without any gaps or overlaps and can repeat in all directions infinitely.
A regular tessellation means that the pattern is made up of congruent regular polygons, same size and shape, including some type of movement; that is, some type of transformation or symmetry.
Before diving into making tessellations, let's ask: What is a tessellation? A tessellation is the tiling of a plane using one or more geometric shapes such that there are no overlaps or gaps.
A tiling of regular polygons (in two dimensions), polyhedra (three dimensions), or polytopes (n dimensions) is called a tessellation. Tessellations can be specified using a Schläfli symbol.
A regular tessellation is a pattern that covers a flat surface entirely using copies of just one type of regular polygon, with no gaps or overlaps.
Tessellation refers to covering a given surface with a pattern of flat shapes (either repeating or non-repeating) in such a way that no shape overlaps another, and there’s no gap between any two shapes.