[math-fun] "Scutoids" pack 3D space inside animals
FYI -- "Scutoids" are slightly more complex than a prism or frustum "Scutoids are characterized by having at least a vertex in a different plane to the two bases and present curved surfaces." "Scutoids [can] present concave surfaces" "Luis M. Escudero ... compared these cells ... and the shapes they form to Lego blocks" I guess the next question is how easily these shapes can mechanically deform as linkages... Perhaps a better Lego block? https://motherboard.vice.com/en_us/article/3kyvjj/new-shape-scutoid-discover... Researchers Have Discovered a New Shape, and It's Inside Your Skin by Michael Gaynor Jul 27 2018, 1:59pm The "scutoid" is a newly uncovered geometrical creation, and the secret to why our organs are shaped the way they are. https://video-images.vice.com/articles/5b5b7d575cffa50007fc65e9/lede/1532724... Squares, triangles, rectangles--you'd think the list of shapes we have names for is pretty well settled by this point. Not so fast: behold the "scutoid." The craggy, quasi-cylindrical construction may sound alien, but the scutoid is actually found about as close to home as you can get: in your skin. In a study published in Nature Communications, scientists from the University of Seville in Spain, Lehigh University in Pennsylvania, and several other research institutions concluded that the type of cells responsible for forming skin and the lining of an organism's organs will morph into scutoids in order to accommodate those organs' complex curvature. https://www.nature.com/articles/s41467-018-05376-1 https://www.nature.com/articles/s41467-018-05376-1.pdf In a statement by one of the authors, Luis M. Escudero of the University of Seville compared these cells--called "epithelial cells"--and the shapes they form to Lego blocks. Scutoids are the perfect shape for fitting the cells together tightly and efficiently, and can act as a shield against infection. According to Escudero, the scutoid shape allows an embryo to advance from a simple structure with minimal cells to a complex organism. "This process doesn't only occur because of the growth of the organism, but also because the epithelial cells start 'moving and joining together' to organise themselves correctly and give the organs their final shape," Escudero said. https://video-images.vice.com/_uncategorized/1532725131451-scutoid-separate.... No one really knew what shape epithelial cells took on during organ development before this study, and they were usually represented by a prism or pyramid-like appearance. Through computer simulations and observation of animal tissue, however, researchers found the scutoid to be the ideal architecture for our rounded and curved organs. The researchers said that in the future, knowledge of the scutoid can shed light on diseases that complicate or alter organ development.
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Henry Baker