The word "tesselate" is often misspelled as "tessellate". The correct spelling is with only one L. This can be explained using IPA phonetic transcription, where "tesselate" is pronounced as /ˈtɛsəleɪt/ and "tessellate" is pronounced as /ˈtɛsəleɪt̬/. The difference lies in the second syllable, where the double L in "tessellate" is pronounced as a voiced (or "flapped") sound, represented by the symbol /t̬/. In "tesselate," the single L is pronounced as a voiceless sound, represented by the symbol /l/.
To tessellate means to cover a surface by fitting together identical or various shapes, with no overlapping or gaps between them. This geometric concept involves creating a pattern that repeats indefinitely in all directions. The process of tessellation involves systematically arranging specific shapes or tiles in a way that perfectly fills an area with repeated patterns.
Tessellations can be found in various fields such as art, mathematics, and architecture. They can exhibit a wide range of shapes, including regular polygons like triangles, squares, hexagons, or irregular shapes with more complex designs. Artists and designers often employ tessellations to create visually appealing and intricate patterns.
The process of tessellation relies on the principle of congruence, ensuring that each tile or shape can fit seamlessly and evenly with others without gaps or overlaps. This characteristic gives tessellations a sense of order and harmony. Furthermore, tessellations can be transformed or translated using reflection, rotation, or inversion to create variations in the overall pattern.
The study of tessellations has observed their occurrence in nature, notably in cellular structures, honeycombs, crystals, and the scales of certain animals. Moreover, tessellations have contributed to the understanding of mathematical concepts like symmetry, tiling theory, and group theory.
In summary, tessellation refers to the process of assembling identical or different shapes in a repetitive pattern to cover a surface without gaps or overlaps. It is an intriguing geometric concept with applications in multiple domains, appealing to both artistic and mathematical perspectives.
To form into squares or checkers; to lay with checkered work.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
The word "tessellate" comes from the Latin word "tessellatus", which is the past participle of "tessellare", meaning "to form into small squares". This Latin word is derived from "tessella", which means "a small square stone or tile". The term "tessellate" was first used in English in the early 17th century to refer to the geometric practice of creating a pattern using small tiles or stones that fit together perfectly. Over time, its usage expanded to include any pattern or arrangement that appears like a mosaic or tiled surface.