Additionally, with the insertion of more shapes into the tessellation artwork, the pattern and composition of the tessellation will change. This means that the tessellation pattern contains two different shapes of tiles. Tilework in the Shah Nematullah Vali Shrine, Mahan, Iran Ninaras, CC BY 4.0, via Wikimedia CommonsĪnother type of tessellation arrangement is the dihedral tessellation where the tiles are arranged in a congruent manner to each other or other prototiles. One such interesting tessellation pattern is the spiral monohedral tessellation pattern that was first discovered in 1936 by Heinz Voderberg. Monohedral tiling or monohedral tessellations can create unique patterns when arranged in different ways. Tessellations that have only one shape of tile are recognized as monohedral tiling and can be understood in comparison to traditional paintings executed in a monochrome style (one dominant shade). A prototile is a term used to describe the shape of the tile in a tessellation artwork. The anatomy of tessellation patterns makes use of specific terminology that is useful when analyzing and interpreting the foundational elements of tessellation art. These are just a few basic terms to make note of when referring to tessellation patterns. The term “edge” refers to the intersection between two neighboring tiles, which forms a straight line while “vertex” is used to refer to the intersection of three or more neighboring tiles. Tessellation in a mathematical context refers to tiling and the shape used repetitively to create a tessellation is referred to as a fundamental region, also known as a tile. The role of tessellation in mathematics was strongly applied to architecture and existed in the form of tessellation theory. The role of tessellation in mathematics became a primary study point for many intellectuals in the Middle Ages and the Renaissance where the use of geometric structures in nature inspired many interesting studies. Other civilizations also adopted the art form to their specific cultural and artistic preferences, which helped the art form evolve. The Sumerian culture was first recorded as using clay for tessellation décor in homes and venerative buildings. Tessellations or tiling were first used as part of wall and architectural décor dating as far back as 4,000 BCE. Tessellation art is similar to mosaic art in that pieces of tiles or stone are arranged to create larger compositions and are also understood as part of the decorative arts. The term originally referred to tessellation that was produced using square stones or pieces of clay, glass, and stone to create a basic pattern. The term “tessellation” is also derived from the Latin word tessellātus, which translates to “four”. Islamic zellige mosaic ceramic tile tessellations in Marrakech, Morocco Ian Alexander, CC BY-SA 3.0, via Wikimedia CommonsĪ tessellation definition can also include the use of regular or semi-regular geometric shapes or tiles that are arranged to create a larger construction. Tessellation is a process of tiling that results in a mosaic pattern or other tessellation patterns that create a mesmerizing visual effect. What is tessellation? And how did it enter the art space? The term “tessellation” is commonly used in a mathematical manner, which refers to a form of tiling whereby geometric shapes are grouped repetitively without any gaps or overlapping areas.
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