Geometric Cognition

Did Humans Invent Mathematics, or Is It a Fundamental Part of Existence?

“God made the integers, all else is man’s work,” stated German mathematician Leopold Kronecker in…

A language of thought for the mental representation of geometric shapes

Why do geometric shapes such as lines, circles, zig-zags, or spirals appear in all human…

Intuitions of geometry: a signature of human singularity

Humans are unique among primates in their capacity to construct and control very complex systems…

Complex thoughts are enabled by fractal networks

Fractals are forms that seem similar at different sizes in the area of geometry. Shapes…

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…

Number sense: emergence from the recognition of visible objects

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

Are patterns real or imagined?

For neuroscientists studying complex systems, patterns exhibit valuable data that may or may not correspond…