Anonymous ID: 556535 Nov. 26, 2018, 11:39 a.m. No.4038351   ๐Ÿ—„๏ธ.is ๐Ÿ”—kun

Gods Fingerprint

The Fibonacci Sequence - Golden Ratio and The Fractal Nature of Reality

 

"Fibonacci numbers are of interest to biologists and physicists because they are frequently observed in various natural objects and phenomena. The branching patterns in trees and leaves, for example, and the distribution of seeds in a raspberry are based on Fibonacci numbers.

 

A Sanskrit grammarian, Pingala, is credited with the first mention of the sequence of numbers, sometime between the fifth century B.C. and the second or third century A.D. Since Fibonacci introduced the series to Western civilization, it has had a high profile from time to time. Recently, in The Da Vinci Code , for example, the Fibonacci sequence is part of an important clue."

Anonymous ID: 556535 Nov. 26, 2018, 11:49 a.m. No.4038452   ๐Ÿ—„๏ธ.is ๐Ÿ”—kun   >>8557

>>4038337

 

https://en.wikipedia.org/wiki/Reidun_Twarock

 

After this, Twarock entered virology, and began to rigorously link virus structure to fundamental ideas in geometry. It was well understood that viruses have icosahedral shape and symmetry, but the only other thing that was said of them was that they sometimes they possessed planar translational symmetry, causing them to resemble goldberg polyhedra. The question of the exceptional nature of papovaviridae had been solved, but it was not a one-off - HK97 could not be considered a goldberg polyhedron either. Twarock's study of these viruses lead her to believe that there was much more insight into virology that could be gotten from mathematics. Mathematical virology had previously only studied the surfaces of virus, using models that were tilings of the 2-sphere; Twarock hoped to go further than this, to illuminate three-dimensional protein structure and genome packaging.[5]

Anonymous ID: 556535 Nov. 26, 2018, 11:58 a.m. No.4038557   ๐Ÿ—„๏ธ.is ๐Ÿ”—kun   >>8577 >>8642

>>4038452

 

https://en.wikipedia.org/wiki/Solids_with_icosahedral_symmetry

 

https://en.wikipedia.org/wiki/Truncated_icosahedron

 

The birth of E8 out of the spinors of the icosahedron

 

http://rspa.royalsocietypublishing.org/content/472/2185/20150504

 

E8 is prominent in mathematics and theoretical physics, and is generally viewed as an exceptional symmetry in an eight-dimensional (8D) space very different from the space we inhabit; for instance, the Lie group E8 features heavily in 10D superstring theory. Contrary to that point of view, here we show that the E8 root system can in fact be constructed from the icosahedron alone and can thus be viewed purely in terms of 3D geometry. The 240 roots of E8 arise in the 8D Clifford algebra of 3D space as a double cover of the 120 elements of the icosahedral group, generated by the root system H3. As a by-product, by restricting to even products of root vectors (spinors) in the 4D even subalgebra of the Clifford algebra, one can show that each 3D root system induces a root system in 4D, which turn out to also be exactly the exceptional 4D root systems. The spinorial point of view explains their existence as well as their unusual automorphism groups. This spinorial approach thus in fact allows one to construct all exceptional root systems within the geometry of three dimensions, which opens up a novel interpretation of these phenomena in terms of spinorial geometry.

Anonymous ID: 556535 Nov. 26, 2018, 12:06 p.m. No.4038635   ๐Ÿ—„๏ธ.is ๐Ÿ”—kun   >>8650

>>4038577

Mathematical Virology

 

https://pphdechant.weebly.com/viruses.html

 

Viruses are perhaps the most mysterious and intriguing biological entities. Where biology usually dazzles with its manifold complexity and flexibility, viruses impress with their minimalism, existing at the boundary between living organisms and inanimate macromolecules. Whilst the largest viruses are larger and more complex than the smallest bacteria, the smallest viruses have only very few genes. This genetic economy, however, does not mean that viruses are not highly complex and adapted, with most viral components performing several different functions. For instance, Hepatitis B virus has only 4 genes, only one of which encodes the structure of the virus.

Anonymous ID: 556535 Nov. 26, 2018, 12:11 p.m. No.4038691   ๐Ÿ—„๏ธ.is ๐Ÿ”—kun

>>4038650

The Illuminating Geometry of Viruses

 

https://www.quantamagazine.org/the-illuminating-geometry-of-viruses-20170719/

 

More than a quarter billion people today are infected with the hepatitis B virus (HBV), the World Health Organization estimates, and more than 850,000 of them die every year as a result. Although an effective and inexpensive vaccine can prevent infections, the virus, a major culprit in liver disease, is still easily passed from infected mothers to their newborns at birth, and the medical community remains strongly interested in finding better ways to combat HBV and its chronic effects. It was therefore notable last month when Reidun Twarock, a mathematician at the University of York in England, together with Peter Stockley, a professor of biological chemistry at the University of Leeds, and their respective colleagues, published their insights into how HBV assembles itself. That knowledge, they hoped, might eventually be turned against the virus.