Today, the twin spiral, amplituhedron and the 64 tetrahedron are geometric patterns at the cutting edge of new scientific discoveries that hope to better describe the scientific truth.
A poet once said that the beauty of a flower is lost when it comes to science. But given recent scientific advancement, there are many scientists that would strongly disagree. Over the last few decades, scientific discoveries have pushed the boundaries of fields we once thought dormant. These findings have not only revealed remarkable geometric patterns to nature, they’re starting to change how we view science as a whole.
Conceptual Revolutions in Science is a book that suggests we should look at the broad imagery of nature’s geometric patterns in our educational system. This viewpoint is based on the belief that it could awaken students to the continuous geometric proportions, self-similarities and primordial spirals pervasive in the entire Universe. In layman’s terms, this could be an opportunity to build a more connected human experience and drive greater innovations in our global industries.
To enhance our human senses, we have designed innovative measuring devices for experimental results that allow us to experience the unseen world that is too fast, too slow, too small and too far.
Here 3 fascinating geometric structures in nature featured in the book, Conceptual Revolutions in Science by Adam B. Dorfman.
Large Hadron Collider (LHC)
The LHC is the world’s largest and most powerful particle collider and features a 27 km circle of superconducting magnets and a number of accelerating structures to propel the particles along the way. Scattering data collected by the Large Hadron Collider (LHC) discovered an jewel-like geometric object mainstream scientist call “the amplituhedron” that was previously unseen to the human eye.  The geometric structure described by the LHC, is similar to the 64 tetrahedron matrix described by Physicist Nassim Haramein, from the Resonance Project foundation. Conceptual Revolutions in Science will consider the evidence and powerful useful insights into this discovery.  
When scientists observe Earth’s movements in space, they see that all the planets of our solar system are following the Sun in a heliocentric movement. Consequently, because our sun and galaxy are moving through space, the Earth spirals at an incredible distance each year. How far the Earth moves depends on reference points acquired from a space observatory such as the Hubble Space Telescope (HST).
Here is the path of the planet Venus relative to the Earth over an eight-year period. It is known as the Pentagram of Venus. Finding the orbits of any two planets, and then drawing a line between the two planet’s positions every few days creates beautiful geometric pattern. Since the inner planet orbits faster than the outer planet, interesting patterns emerge.   Note: the orbits are approximated as circles, so this animation cannot be used for accurate predictions.
The Twin Spiral: The CymaScope
Using the holographic principles of sound a team, led by John Stuart Reid, has developed the CymaScope, a new breed of scientific instrument that imprints sound onto a sensitive water membrane, akin to a fingerprint on glass. Using a technology known as cymatics the process transcribes the periodic vibrations in sounds to periodic wavelets in water, which are then ‘dusted’ with light to reveal the otherwise invisible pattern, therefore making sound visible. Our logo was created with this technology, using a fundamental frequency of 78 Hz. The Twin Spiral image is commonly seen in pine cones and in many species of flowers and cacti, and even in some vegetables, for example, the beautiful yet humble romanesque. An important question arises out of twin spiral CymaGlyphs: Is the mechanism that underpins phyllotaxis in Nature related to sound?