Mathematicians have discovered a new class of shapes, termed 'soft cells', that can fill 2D spaces without gaps, enabling innovative patterns and structures in nature.
Chaim Goodman-Strauss remarked, 'Simply, no one has done this before [...] It's really amazing how many basic things there are to consider in tiling.'
The researchers focused on deforming polygonal tiles to create cusp shapes that allow for space-filling tilings, a process which was previously believed to have limited possibilities.
This new understanding of tiling with rounded corners has implications for not just mathematics but also how we observe natural formations and patterns in the environment.
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