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1. www.smithsonianmag.com › smart-news › mathematiciansMathematicians Discover a New Class of Shape: the ‘Soft Cell’

   www.smithsonianmag.com › smart-news › mathematicians

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   Sep 24, 2024 · But in three dimensions, things get more interesting—because 3D soft cells, called z-cells, have no corners at all. For example, a two-dimensional cross-section of a nautilus shell shows shapes ...

2. www.popsci.com › science › new-soft-cell-shapeMathematicians define a new shape—and you’ve probably seen it

   www.popsci.com › science › new-soft-cell-shape

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   Sep 20, 2024 · Examples of 2D soft cells in nature include an onion’s cross-section, biological tissue cells, and islands formed by erosion in rivers. In 3D, the shapes can be found in nautilus shell segments.

   • Author: Andrew Paul

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4. www.popularmechanics.com › science › mathMathematicians Have Discovered the Secret Geometry of Life

   www.popularmechanics.com › science › math

   Feb 28, 2024 · Soft cells are described as natural tiles with curved edges—a stark contrast to the mathematical solutions for creating tiling shapes. The soft cells then smoothly deform into tiles and work in ...

5. www.sciencefocus.com › news › new-shape-discoveredWe officially have a new shape, say mathematicians

   www.sciencefocus.com › news › new-shape-discovered

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   While these shapes have been known for centuries, no-one has formalised the notion of soft cells until now. “Simply, no one has done this before”, Dr Chaim Goodman-Strauss, a mathematician at the National Museum of Mathematics in New York City, who was not involved in the work, told journal Nature. “It’s really amazing how many basic ...

6. www.nature.com › articles › d41586/024/03099-6Mathematicians discover new class of shape seen ... - Nature

   www.nature.com › articles › d41586/024/03099-6

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   Sep 20, 2024 · The researchers identified soft tilings in nature in the 2D shapes of islands in braided rivers, cross-sections of the concentric layers in an onion and biological cells in a tissue, as well as ...

7. www.newscientist.com › article › mg16422065-000-hardHard cell, soft cell - New Scientist

   www.newscientist.com › article › mg16422065-000-hard

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   Oct 2, 1999 · Hard cell, soft cell. IT IS the most basic unit of life. Its very name signifies self-contained. simplicity. But, according to Don Ingber, a cell biologist from Harvard Medical. School, the cell ...

8. People also ask

   What are Soft Cell shapes?

   • From the spirals of shells to the layout of cells, a new class of shapes redefines nature’s complexity. Mathematicians show “soft cell” shapes are abundant in natural world. Soft cells are described as natural tiles with curved edges—a stark contrast to the mathematical solutions for creating tiling shapes.

   Mathematicians Have Discovered the Secret Geometry of Life

   www.popularmechanics.com/science/math/a46973545/soft-cells-secret-geometry-of-life/

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   What are examples of soft cells in nature?

   • Examples of 2D soft cells in nature include an onion’s cross-section, biological tissue cells, and islands formed by erosion in rivers. In 3D, the shapes can be found in nautilus shell segments.

   Mathematicians define a new shape—and you’ve probably seen it

   www.popsci.com/science/new-soft-cell-shape/

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   What are soft cells?

   • ‘Soft cells’ — shapes with rounded corners and pointed tips that fit together on a plane — feature in onions, molluscs and more. ‘Soft cells’ — shapes with rounded corners and pointed tips that fit together on a plane — feature in onions, molluscs and more.

   Mathematicians discover new class of shape seen throughout nature

   www.nature.com/articles/d41586-024-03099-6

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   Do soft cells have curved boundaries?

   • In two dimensions, soft cells have curved boundaries with two pinched corners called cusps. Shapes of this type are observable in nautilus shells, zebra stripes, river islands and even in the cross-section of an onion, per a statement from the University of Oxford.

   Mathematicians Discover a New Class of Shape: the ‘Soft Cell’

   www.smithsonianmag.com/smart-news/mathematicians-discover-a-new-class-of-shape-the-soft-cell-180985124/

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   How do soft cells work?

   • The soft cells then smoothly deform into tiles and work in both two and three dimensions. A team of researchers revealed how theoretical mathematical concepts take on a real-world life when discovering a completely new “soft cell” shape that crossed over from mathematical possibility to abundant natural example.

   Mathematicians Have Discovered the Secret Geometry of Life

   www.popularmechanics.com/science/math/a46973545/soft-cells-secret-geometry-of-life/

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   Can 3D Soft Cells describe the chambers of the nautilus shell?

   • The chambers of the nautilus shell can be described by 3D soft cells. Credit: James L. Amos/Getty Mathematicians have described 1 a new class of shape that characterizes forms commonly found in nature — from the chambers in the iconic spiral shell of the nautilus to the way in which seeds pack into plants.

   Mathematicians discover new class of shape seen throughout nature

   www.nature.com/articles/d41586-024-03099-6

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9. www.newscientist.com › article › 2418791Mathematicians discover 'soft cell' shapes behind the natural ...

   www.newscientist.com › article › 2418791

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   Feb 26, 2024 · The chambers of a nautilus shell are an example of a soft cell in nature. M.E. Parker / Alamy. A new class of mathematical shapes called soft cells can be used to describe how a remarkable variety ...