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Dynamic Symmetry – Phylotaxis – Oleh Bodnar

The term dynamic symmetry was for the first time applied by the American architecture researcher J. Hambidge to a certain principle of proportioning in architecture . Later this term independently appeared in physics where it was introduced to describe physical processes that are characterized by invariants. Finally, in the given research the term dynamic symmetry is applied to regularity of natural form-shaping that in terms of origin also appears not to be connected with Hambidge’s idea, and, moreover, appearance of this term in physics. However, all the three variants are deeply interconnected in terms of their meaning which we are going to show.

At first, we point out strategic similarity of Hambidge’s and our researches. This is a well-known historical direction which in the field of architecture and art is motivated by the search for harmony regularities and, thus, is aimed at studying the objects of nature. Usually architects take interest in the structural regularities of natural form-shaping and, particularly, in the golden section and Fibonacci numbers which are regularities standing out by their intriguing role in architectural form-shaping. It is not accidentally that architects who do researches so frequently pay attention to botanical phenomenon phyllotaxis which is characterized by these regularities.

DYNAMIC SYMMETRY IN NATURE AND ARCHITECTURE

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Thunderbolts – Who Still Denies Electric Currents in Space?




 

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In Silico – A Short History of “Liesegang Rings”

In Silico

Periodic precipitation or the “Liesegang phenomenon” is a special type of chemical pattern formations. It was discovered by a German chemist and photographer, Raphael Eduard Liesegang in 1896 but did not have any general explanation more than a century ago.

Patterns in Nature

In the last decades of the 20th century different kinds of chemical, physical and biological pattern formations have excited an ever increasing interest in the scientific community. In chemical patterning one of the most intensively investigated area was the so-called Belousov-Zhabotinsky reaction, but there were many publications about viscous fingering, diffusion limited aggregation, morphogenesis of fungal colonies and some other simple living bodies, and last but not least patterning during electrochemical deposition too.

Although at first sight the above mentioned systems are quite different there are many similarities in the way they form the corresponding patterns, and the methods by that they can be handled. All of them contain at least one or several diffusion-limited steps, while the formation of the spatial or spatiotemporal order is always a result of a complicated interplay of these and the underlying chemical, physical or biological processes.

Mathematics and the modeling of reaction-diffusion processes

Mathematical description of such systems consists of so-called reaction-diffusion differential equations. Unfortunately these are usually systems of coupled nonlinear partial differential equations, that cannot be treated by standard analytical methods. The only viable way is the application of different numerical methods. Numerical solution of such systems of equations is computationally very demanding, moreover it is sometimes computationally prohibitive even nowadays.

The story of the so-called Liesegang phenomenon is good example for this problem.

Liesegang Patterns

Liesegang patterning is a special type of chemical pattern formation in which the spatial order is formed by density fluctuations of a weakly soluble salt. From analytical chemistry we know many different reactants that form a precipitate (sparingly soluble salt) when they react with each other. A good example for this behavior is the reaction of silver-nitrate (AgNO3) and potassium-dichromate (K2Cr2O7).




If one of these components is evenly distributed in a swollen gel (e.g. in gelatine), and the solution of the other diffuses into it, the spatial distribution of the slowly forming precipitate will not be continuous. A series of precipitate zones (bands or rings depending on the geometry of the experimental setup) will form according to some simple scaling laws.

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Counterculture ‘Burning Man’ art takes Washington by storm

Intriciate laser cutouts in the “HYBYCOZO” installation by Yelena Filipchuk and Serge Beaulieu create dancing shadows on gallery walls

Immersive art from a famed desert festival in the American West has swept into Washington, infusing the buttoned-up US capitol with countercultural spirit.

“No Spectators: The Art of Burning Man,” which opens Friday at the Smithsonian’s Renwick Gallery, celebrates the annual late-summer gathering that sees a temporary city of some 75,000 people spring up in Nevada’s Black Rock Desert.

For a single week, massive experiential art installations tower over the dusty metropolis before Burning Man participants torch many of the works, including a giant wooden statue of a man, as a ritual embracing decommodification and temporality.

Thought it is perhaps best known for its bacchanalian atmosphere favoring sex and drugs, the annual event that started small in 1986 has evolved into a serious cultural and artistic movement, said the Renwick’s crafts curator Nora Atkinson, who spearheaded the show.

Marco Cochrane’s “Truth is Beauty” sculpture features in the “No Spectators: The Art of Burning Man” exhibition at the Renwick Gallery in Washington

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9Rese’ – EMF: 12 ANTI-CANCER AND 12 CANCER PROMOTING FREQUENCIES

 

 

Favourable and Unfavourable EMF Frequency Patterns in Cancer: Perspectives for Improved Therapy and Prevention

Carcinogenesis fits in a frequency pattern of electromagnetic field (EMF) waves, in which a gradual loss of cellular organization occurs. Such generation of cancer features can be inhibited by adequate exposure to coherent electromagnetic frequencies. However, cancer can also be initiated and promoted at other distinct frequencies of electromagnetic waves. Both observations were revealed by analyzing 100 different EMF frequency data reported in a meta-analyses of 123 different, earlier published, biomedical studies.

The studied EM frequencies showed a fractal pattern of 12 beneficial (anti-cancer) frequencies, and 12 detrimental (cancer promoting) frequencies, that form the central pattern of a much wider self-similar EMF spectrum of cancer inhibiting or promoting activities. Inhibiting of the cancer process, and even curing of the disease, can thus be considered through exposure to the coherent type of EM fields.

Stabilization of the disease can be understood by constructive resonance of macromolecules in the cancer cell with the externally appied coherent EMF field frequencies, called solitons/polarons.

The latter, for instance, have been shown earlier to induce repair in DNA/RNA conformation and/or epigenetic changes. The field of EMF treatment of cancer disorders is rapidly expanding and our studies may invite further experimental and clinical studies in which systematically various potential EMF treatment protocols could be applied, with combined and modulated frequencies, to obtain even more efficient EMF anti-cancer therapies.

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