math, algebra and for things like decorating outside of school
Regular tessellations can be made using triangles, squares, and hexagons.
All tessellations, involve inlaying, its the materials used and the designs applied that make the difference.
Hexagon
Three important rules about tessellations are: first, the shapes used must fit together without any gaps or overlaps. Second, the angles of the shapes must add up to 360 degrees at each vertex where they meet. Lastly, tessellations can be made using regular polygons, irregular shapes, or a combination of both, as long as they adhere to the first two rules.
Artists, designers, architects, and mathematicians are some occupations that use tessellations in their work. For artists and designers, tessellations can be used in creating patterns and designs. In architecture, tessellations can be utilized in developing tiling and paving designs. Mathematicians study the properties and characteristics of tessellations as part of geometry.
rotations and translations
Tessellations have been used in art and architecture since ancient times, with examples found in cultures such as Islamic art and Roman mosaics. However, the term "tessellation" was not used until the 17th century, popularized by mathematicians like Kepler and Escher.
No, a tessellation cannot be created using only circles, as circles cannot fit together without leaving gaps or overlapping. Tessellations require shapes that can completely cover a surface without any spaces or overlaps. Regular polygon shapes, like squares and hexagons, are typically used for tessellations because they can interlock perfectly. However, circles can be used in more complex or artistic designs that resemble tessellations, but they do not form true tessellations.
According to my math textbook tessellations are prominent in Islamic art, Italian mosaics, quilts and ceramics. A very famous tessellation artist is M.C.Escher he created many paints, drawing, and prints using tessellations of interlocking animals. His art reflects the mathematics that underlies all things. Tessellations are frequently used in graphics arts and interior decorating. Since the Koran forbids the use of images of people or animals, many Muslim buildings are decorated with tessellations.
Oh, dude, tessellations are like those cool repeating patterns, right? So, jobs that use tessellations could be in graphic design, architecture, or even in making those fancy tiled floors. Basically, if you like making things fit together perfectly like a puzzle, tessellations are your jam.
Well, mainly cigarette lighters or lighters for candles. But that's pretty much it besides matches.
According to my math textbook tessellations are prominent in Islamic art, Italian mosaics, quilts and ceramics. A very famous tessellation artist is M.C.Escher he created many paints, drawing, and prints using tessellations of interlocking animals. His art reflects the mathematics that underlies all things. Tessellations are frequently used in graphics arts and interior decorating. Since the Koran forbids the use of images of people or animals, many Muslim buildings are decorated with tessellations.