What's behind the recent "Fractal Frenzy" in Personalized Medicine?

It is all about Geometry of Nature. Geos, the Universe, the Brain ... and the DNA.
Actually, it is at least a 2500 year long, steady story, with only the last 200 years accelerating. Even the last chapters only became "hurried" under extraordinary pressures; going for nuclear energy, computational ballistics, information geometry for intelligence, control of fighter jets by neural nets - or recently...Personalized Medicine

569 BC - 475 BC
Pythagoras. Theorem of Pythagoras'
Greek "Geometer", Samos, Ionia
Distance measure in flat geometries (e.g. a surface) is x² + y² = d²
(Theorem of Pythagoras' - middle school today)

324 - 265 BC
Euclid (Elements). Mathematical Language of Nature by Euclidean "Geo-Metry" is at least 2000 years old.
Measured land (flat 2-dimensional surfaces of Geos) in Egypt (Alexandria).

1596 - 1650
Descartes associates Brain Function with internal representation in Euclidean Geometry

1642 - 11727
Isaac Newton establishes physics and mechanics based on Euclidean Geometry

------------------ FIRST "BIFURCATION" - BREAKING AWAY FROM EUCLIDEAN GEOMETRIES -----------

1775-1856
Farkas Bolyai and his son
1802-1860
János Bolyai and
1777-1855
Johann Gauss
collectively establish the hard mathematical core, that "Alternative Geometries" to Euclidean axioms are equally possible

------------------ SECOND "BIFURCATION" - NON-DIFFERENTIABLE GEOMETRIES APPEAR, -----------

1831-1889
duBois Reymond blows open the field by proving continuous nondifferentiable function constructed by Weierstrass

1845-1918
Cantor set theory - an early predecessor of self-similarity theories - a core notion to later "fractals"

------------------ THIRD "BIFURCATION" - CURVED GEOMETRY OF SPACETIME MANIFOLD TO SERVE PHYSICS OF UNIVERSE-----------

1864-1907
Minkowski established that space and time form a 4-dimensional manifold with a unified geometry. Euclidean separable x,y,z and t are blown away

1879-1955
Albert Einstein established that the metric tensor of the spacetime continuum is not uniform, the spacetime manifold is curved

------------------ FOURTH "BIFURCATION" - QUANTUM MECHANICS TAKES OFF TO SERVE NUCLEAR PHYSICS-----------

1901-1976
Heisenberg
1887-1961 Schrödinger
Establish quantum-mechanics, deviating from smooth-differentiable manifolds to generate the intrinsic mathematics for nuclear physics

1868-1942
Hausdorff-dimension gave quantitative measure of non-integer dimension.

1875-1941
Lebesgue contributes with the "Lebesgue measure"

1902-1950
Zipf, with "Zipf's law" lays the rules of repetition

1955
Shannon information theorist deciphers military encryption

1955
Johnny von Neumann, done with von Neumann Algebra, declares that the intrinsic mathematics of brain function is unknown

------------------ FIFTH "BIFURCATION" - DISCOVERY OF DOUBLE HELIX IMPLIES THAT "HELIXO"-METRY WILL BE NECESSITATED, AS EUCLIDEAN "GEO"-METRY IS UNLIKELY TO SUFFICE FOR DNA-----------

1953
Francis Crick and James Watson discover the extrinsic geometry of the Genome: the Double Helix. Have the book with all ACTG letters. What does it say? In what language? Where is the code-book? What is the encryption-algorithm? Francis Crick turns later to Neural Networks for some answers.

1977
Genentech, inc. is incorporated in Greater Silicon Valley. Going for the "silver bullets" of medicine, just like starting to build a thermonuclear bomb before the physics is done. The pressure is "on".

1975-1977
Prof. Benoit Mandelbrot coins "Fractals" and publishes the Classic Book: "The Fractal Mathematics of Nature". Suspects that brain cells are also fractals

------------------ SIXTH "BIFURCATION" - "FRACTAL FRENZY" IS SET OFF BY MANDELBROT - A HUGE FIELD OF FRACTAL GEOMETRY, FRACTAL ART AND FRACTAL DATA COMPRESSION EMERGES, SEE SKETCHY HISTORY

------------------ SEVENTH "BIFURCATION" - "FRACTAL FRENZY" IN PERSONALIZED MEDICINE - SEE SEPARATE "FRACTALS IN PERSONALIZED MEDICINE COLLECTION"