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Feb 28, 2024 · Soft cells are described as natural tiles with curved edges—a stark contrast to the mathematical solutions for creating tiling shapes. ... they are “cells with curved boundaries which have ...
Sep 24, 2024 · In two dimensions, soft cells have curved boundaries with two pinched corners called cusps. ... All 2D soft cells must have at least two of these teardrop-like corners, which come to such a narrow ...
Sep 12, 2024 · In 2D, these soft cells have curved boundaries with only two corners. Such tiling patterns are found, among others, in muscle cells, zebra stripes, the shapes of river islands, in the layers of onion bulbs, and even in architectural design. In 3D, these soft cells become more complex and interesting.
Sep 10, 2024 · The research team first established that soft cells have no corners at all. They demonstrated that starting with known hard tilings, such as the cubic grid, these structures could be transformed into soft cells by suitably deforming the edges and eliminating all sharp corners by applying this process , The procedure led them to discover entirely new classes of soft cells with diverse tiling ...
Oct 3, 2024 · This research, published in PNAS Nexus, reveals how these shapes, which are characterized by their curved boundaries and minimal sharp corners, are prevalent in nature and can provide insights into both biological structures and architectural designs. Understanding Soft Cells. Soft cells are unique in that they tile space seamlessly without ...
Sep 20, 2024 · Soft cells can be found in nautilus shells, onions, and even famous architectural designs. Hard as it may be to imagine, there’s a newly defined geometric shape on the books. Based on recent ...
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Feb 26, 2024 · A new class of mathematical shapes called soft cells can be used to describe how a remarkable variety of patterns in living organisms – such as muscle cells and nautilus shells – form and grow.
