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      • Good news, tilers: mathematicians have described a new class of shape — soft cells. These shapes have corners that are deformed into thin points with internal angles of zero, which let them tessellate on a 2D plane with no gaps.
      www.nature.com/articles/d41586-024-03131-9
  1. Sep 24, 2024 · 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...

  2. Sep 20, 2024 · In its most basic form, soft cells take the form of geometric building blocks with rounded corners capable of interlocking at cusp-like corners to fill a two- or three-dimensional space.

    • Andrew Paul
  3. 2 days ago · Mathematicians have found a new kind of shape with connections to nature and art. By Elise Cutts. Photographs of 3D-printed shapes show soft cells derived from space filling polyhedra. Blue is ...

  4. Feb 28, 2024 · Soft cells are described as natural tiles with curved edgesa stark contrast to the mathematical solutions for creating tiling shapes. The soft cells then smoothly deform into tiles...

  5. A whole new type of shape has been identified, say mathematicians – but it's probably not what you're thinking. Here's what a 'soft cell' is.

  6. Sep 12, 2024 · A team of mathematicians from the University of Oxford and Budapest University of Technology and Economics have uncovered a new class of shapes that tile space without using sharp corners. Remarkably, these ’ideal soft shapes’ are found abundantly in nature – from sea shells to muscle cells.

  7. Sep 20, 2024 · ‘Soft cells’ — shapes with rounded corners and pointed tips that fit together on a plane — feature in onions, molluscs and more. By. Philip Ball. The chambers of the nautilus shell can be...

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