They are commonplace because we learn about two-dimensional versions of these shapes as children: triangles, squares, dodecahedrons, and other convex polygons [a polygon is any flat shape made ...

When the trio eventually identified a space-filling 3D shape with just two corners, Domokos thought they’d found their answer. “I got completely obsessed with this whole thing,” he says.

Out of the entire infinitude of possible shapes in possible dimensions, the shapes in precisely one dimension still resisted classification. In the words of Douglas Ravenel, a mathematician at the ...

Max Planck Institute of Molecular Cell Biology and Genetics (MPI-CBG)Aug 9 2024 A key question that remains in biology and biophysics is how three-dimensional tissue shapes emerge during animal ...