#mathematic #geometry #resolution #emergence # [[Epistemic status]] #shower-thought #human-in-the-loop # Related - [[Philosophy/Poetry/Tessellation of Bliss]] - [[Philosophy/Art/Escher]] - [[Mathematic/Geometry/Euclidean]] - [[Mathematic/Symmetry]] # Tessellation I remember when I was working in satellite intelligence, I did a kind of tessellation of a map based on satellite locations in latitude and longitude I did something like this ![[B851FFC4-2E20-48D1-A245-7DF3336AB2BC.png]] Tessellation is the tiling of a plane using shapes with no overlaps or gaps. It is an art form that dates back thousands of years and can be found in ancient art, architecture, and even tiles on the floor. Tessellations are created using a variety of shapes, including regular polygons such as triangles, squares, and hexagons, as well as irregular shapes like stars, diamonds, and kites. They can be used to create intricate and beautiful patterns and can be used to decorate walls, floors, and even as fabric patterns. The possibilities are truly endless. [[Escher]] is one of the most famous tessellation artists of all time and his work is renowned for its intricate patterns and use of mathematics. He used a variety of shapes and techniques to create his works, from regular polygons to repeats and reflections. His work is an inspiration to many artists and mathematicians today and his influence can be seen in many modern tessellations. [[Roger Penrose]] is another notable tessellation artist whose work has been widely praised for its complexity and use of mathematics. He is known for developing the [[en.wikipedia.org - Penrose Tiling - Wikipedia|Penrose Tiling]], which is a pattern that uses a combination of two types of shapes (diamonds and kites) that never repeat and can cover an infinite space without gaps or overlaps. His work has been used in many applications, from architecture to furniture design. Tessellation art is a form of expression that is both creative and mathematical. It requires both artistic skill and mathematical knowledge to create a successful tessellation. It can be used to create beautiful, symmetrical patterns and can be tailored to fit any desired space or taste. Tessellation art is an art form that will continue to inspire and challenge artists and mathematicians for generations to come.