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The Superformula of Life & Systemic Design Explained

Modern bio-inspired mathematics is the language of nature with groundbreaking applications in various science and technology fields

The Moebius Loop. The inifinity loop of nature and our planet. This is how nature created things and makes flows go on loops. Now possible with math. The Superformula and GIELIS Transformations

Here is a very clear explanatory article about the Superformula and its huge implications for modern technology. A free gift from us to you. Download it with the link...

And if you are a technology geek and math nerd, here is the Superformula equation on wikipedia

"Twenty-five years ago, Dr. Johan Gielis proposed to use Lamé curves, also known as superellipses, to model the cross section of the square bamboo. A year later he generalised the equation.
In 2003, he was invited to submit a Special Paper to the American Journal of Botany; ‘A generic geometric transformation that unifies a wide range of natural and abstract shapes’ now lies in the top 2% of most cited scientific papers of all time." - Reasearch Outreach

A few highlights from our own experience:

  • The Superformula is ONE formula for ALL shapes of nature

  • The Superformula is a generalized

  • The Superformula is a dynamic formula that does not need steps for materials and shapes to merge. Colors but also materials and components can merge as a rainbow does

  • The mathematical team of scientists and biotechnology companies is busy making more formulas like this one. Generalized formulas with more than one component (n)

  • The series of dynamic formulas is called GIELIS transformations in science. Geometric (or Generalized) Intrinsic and Extrinsic Lengths In Submanifolds

"This single equation, a generalisation of circles and the Pythagorean Theorem, unifies an extensive range of both natural and abstract shapes." - Research Outreach

A few fascinating and groundbreaking applications for a post-industrial world

  • In digital design and architecture LAVA Architects in Germany are transforming existing buildings into healthy buildings with 2 membranes. One inside and one outside. Natural ventilation flows over height (termite ventilation), natural light, and easy connections between separate sections of the building

  • In neurosciences, Dr. Jean-Luc Mommaerts created the Aurelis app to give patients strength by going to their deep void inside during deep meditation or sleep. Healing happens when you go to your connection with our planet and collective intelligence. The Superformula is used for his neuroscience

  • In gaming, has used the Superformula to create realistic natural scenes with little data transfer. Ideal for VR, immersive art, and metaverses

  • In the energy transition, better efficiency of solar solutions are based on the shapes of photosynthesizing microbial algae. So-called diatoms

  • All species and all shapes are antennas. In the Internet of Things, materials and shapes are formed with the Superformula. The Antenna Company shapes connectivity

  • Genicap is the general education and implementation company for GIELIS transformations

  • Simple3D gives the power to discover, model and 3D print a literally endless universe of shapes in the hands of the consumer. Generative design. Local production. When and how you want it

Here are a few more videos

Inspiration for another GIELIS transformation, ALL = 1 & 1 = ALL, can be found in two other videos