Geometry Matters

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Hunting Bach’s fractals

Fractals are infinitely complex patterns that are self-similar across different scales. They are created by…

Entropy and energy influence polygonal nets folding into Platonic solids

What makes an object successful at folding? Protein scientists study how an object transforms between…

Model for studying nature’s patterns.

Wings are like fingerprints for many insect species, with no two patterns being the same.…

Fractal patterns preferred by children under three years

Natural surroundings have fractal patterns that recur at various size scales, and they are also…

Neurons use fractal networks for better connectivity

Many of nature’s fractal objects benefit from the favorable functionality that comes from pattern repetition at various…

Mathematical skills improved by tri-dimensional thinking

In 2019, a nationwide study on fundamental skills in Switzerland discovered a link between children’s spatial…

Using hyperbolic geometry to map the olfactory space

In the natural environment, the sense of smell, or olfaction, is used to identify contaminants…

Geometry of the stem cell’s micro-environment can influence organ aging and susceptibility to cancer.

Stem cells are the raw materials of the body, the cells that give rise to…

Plato’s cube is nature’s preferred choice for fragmentation.

Plato is widely recognized as the first to create the concept of an atom, or the…

Number sense: emergence from the recognition of visible objects

Humans and animals have a “number sense,” or the capacity to intuitively estimate the numerosity…