Tessellations how to#
“Even kindergarteners know how to make Voronoi tessellations. Imagine the researchers’ surprise, however, when their microscopes revealed that scutoid-shaped epithelial cells were pervasive in the human body, news they published last July in Nature Communications. The model indicated that epithelial cells should take the form of an unusual and previously unknown shape they named the “scutoid.” Of course, epithelial cells in nature were under no obligation to observe the model, especially as the oddly-shaped, not-previously-observed scutoid seemed like an unlikely candidate. Credit: Giuliagi Wikimedia (CC BY-SA 3.0)
Tessellations skin#
Given Voronoi tessellations’ prevalence in nature, Buceta and his colleagues used this mathematical model to predict the shape of epithelial cells, which among other things make up the surface of your skin and the inside of your throat, intestines and blood vessels. “Many times, the patterns you see in nature are Voronoi tessellations,” says Javier Buceta, a member of a team of Spanish, British, and American researchers that recently sought to predict the shape of epithelial cells-the cells that line the surfaces of our skin, intestines, blood vessels, and organs.
All these natural patterns may be modeled with a mathematical technique known as a Voronoi tessellation. And the honeycomb cells built by bees also appear to fit together, although in this case arrangement is regular. The delicate veins on a dragonfly’s wings also outline a puzzle-like collection of irregular translucent cells. Send us feedback about these examples.Look at giraffe’s fur and you’ll see a collection of irregular brown spots that fit together like puzzle pieces. These examples are programmatically compiled from various online sources to illustrate current usage of the word 'tessellation.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Quanta Magazine, 11 July 2017 An example is the tessellation of a strange, multipronged shape called the Taylor-Socolar tile, discovered by the Australian amateur mathematician Joan Taylor in the 1990s, and analyzed in detail with Joshua Socolar of Duke University in 2010. 2020 As one journey - the classification of all convex polygon tessellations - ends, another is just beginning. Escher’s famous tessellations of a disk with fish or angels and devils that get smaller near the boundary. 2020 In the cases Wiles studied, the tiling might be something along the lines of M.C.
Caroline Delbert, Popular Mechanics, 31 Aug. Brian Westover, PCMAG, 8 July 2022 Keller’s conjecture, a tessellation problem about the way certain shapes tile in certain spaces, has been solved for all but seven-dimensional space. 2016 Both exercise graphics and compute shaders, but one focuses on hardware tessellation and the other on the OpenGL application programming interface (API). Nathaniel Scharping, Discover Magazine, 19 Dec. 2022 The true impact of roads seems to be the gradual tessellation of once-cohesive landscapes.
Nathaniel Scharping, Discover Magazine, 29 Nov. 2023 The path of the International Space Station, as mapped over a tessellation of Narukawa's world map. Recent Examples on the Web Closerie Falbala was made to energise, and stepping inside feels like being within an ornament, a tender space, Logological Cabinet, was meant to be an intense experience, painted in his L'Hourloupe style from floor to ceiling in swirling tessellations.
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