Geometry Matters

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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…

Harpa Concert Hall: from nature to architecture

The building stands out like a vast, dazzling sculpture on the edge of land and sea,…

Hidden order in disorder

Hyperuniformity is a geometric concept to probabilistically characterise the structure of ordered and disordered materials.…

Icosahedral nano-shell designed to trap virus particles

An interdisciplinary research team at the Technical University of Munich (TUM) has developed an efficient strategy…

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…

The shape of a perfect egg, defined by a universal formula

The shape of an egg has been demonstrated throughout evolution to be one of the…

Embryo geometry: a theory of evolution from a single cell to the complex vertebrate body

One of biology’s biggest mysteries is the genesis of animal form. Biologists trying to understand…

A geometric framework for protein and cell diffusion and interaction

Protein pattern generation has been extensively explored experimentally in recent years. Proteins diffusing and interacting…