Most astonishing of all, fractal mathematics reveals that this humble fern leaf is neither a one- nor an two-dimensional shape, but hovers somewhere in-between. Exactly what shape does this fern have?

with a better energy density inspired at the microscopic level by the repeating pattern (called a fractal) seen in the veins of a species of American fern. "The leaves of the western swordfern are ...

Snowflakes, fern leaves, romanesco cauliflower heads ... However, there has never been a regular fractal among them. It turns out that almost all regular-looking self-assemblies lead to the kind of ...

These patterns can be found in nature, such as in the leaves of a fern or the spirals of a seashell ... makes these beautiful triangles and as the fractal grows, we see these larger and larger ...

They can be observed in the spatial arrangements found in many familiar forms, patterns and shapes in nature: from the branching of trees, ferns, river systems, and lightning, to the patterns found in ...