The contribution of geometry to the evolution of human and natural sciences is a well established fact. Since the Greeks started to realize that the argument is more powerful when backed up by empirical evidence, rather than previous experience, all sciences started to benefit from an approach that had something…

# Geometry Matters

On June 12, 2017 a research team studying the complex networks involved in information processing, revealed that the processes involved in the creation of neural structures are built on multiverse-like structures. Using algebraic topology, they “zoomed” into the neural networks of the brain, finding hidden structures of the neurons. When…

Water, the most intricate of all the elements, has more to do with geometry than expected. Starting at molecular levels, water shows geometric structures that are fairly complex, structures given by atomic bonds, but also external, such as gravity waves. Have a look at a few of these geometric states:…

The first printable geometric archive is here! As seen on-line, the illustrations can be used in teaching or learning about geometry through its various visual representations. Suitable for academic purposes, but also for the geometry enthusiasts. Each illustration contains descriptions and/or credits displayed in separate fields. Download the archive. Plato…

Light, similar to sound, is closely related to matter – for example, each frequency of sound has its own patterned water surface. In the same way light has properties that give it geometric features and most of them arise from the wave-particle duality, a concept that states that every elementary…

Exploring nature we see countless shapes and patterns, some of them being replicated in various sizes. Take a look at how small elements of nature can have the same structure as the larger ones, even artificial: 7. Hexagonal Patterns Every bee knows that the hexagon can make the most efficient…

Geometry can be seen in action in all scales of the Universe, be it astronomical – in the orbital resonance of the planets for example, be it at molecular levels, in how crystals take their perfect structures. But going deeper and deeper into the fabric of the material world, we…

In the 18th century, Ernst Chladni invented a technique to show the various modes of vibration of a rigid surface. First published in 1787 in his book Entdeckungen über die Theorie des Klanges, the technique consists of drawing a bow over a (circular, square, or rectangular) plate or membrane whose…

Geometric structure of crystals reflected in patterns of architectural information, phyllotactic patterns of growth to patterns of behavior. Orbital resonance of planets embedding quantum movements of bits. Fractals of creation meant to take us further. The eternal state comes from either spiritual enlightment, either from the fusion…