research
This section will lift the curtain over my laboratory. Here, like a medieval alchemist, I return to the same search of meaning, form and essence of things over and over again. I conduct various researches, which becomes a reliable foundation for my design.

 


For a long time people showed interest in shape out of life-sustaining interest or aesthetic considerations. The beauty of shape – is it a myth or a logical mathematically described occurrence? What is harmony? A constructed balance of accurate visual characteristics or the intuition of the artist? >




I have already talked about scale and proportions. In this article it is important to turn our attention to that created by nature which is the topic of never-ending research in such spheres as art, architecture, painting, science, technology and design.

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A whole always consists of parts. Different parts are all related to each other and the whole. An ideal correlation of parts is based on the golden ratio principle. Precisely this correlation arouses a subconscious feeling of beauty. The viewer admires objects and architecture being unaware that his sensations are mathematically predicted and verified with the help of formulas and diagrams that survived throughout the ages. A whole always consists of many parts. Different parts always correlate to each other and to the whole.

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Egyptians and Babylonians started to use the Golden Ratio principle in architecture. The proportions of the Pyramid of Cheops, everyday objects and reliefs from the Tomb of Tutankhamun tell us that Egyptian craftsmen used this knowledge. The incontestable evidence of this is the image of Hesir with a measuring tool that fixed proportions of the golden ratio. Afterwards, Greek scientists Pythagoras and Plato gave much attention to the research of this phenomenon. The frontage of the Parthenon has the proportions of the Golden Ratio. During the diggings, some ancient compasses were discovered with the function of selecting “beautiful” proportions. Then followed Euclid’s and Hypcicle’s research and gradually the knowledge spread throughout the world.

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During the Renaissance period the interest to the Golden Ratio increased and thanks to the research of Leonardo De Vinci (by the way, to whom the phrasing Golden Ratio is attributed) and the monk Luca de Pacioli the study of right proportions became one of the basics of knowledge in all the spheres in human affairs. Albrecht Durer, Johannes Kepler, and a German professor, in the XIX century, raised the rules to the level of an academic subject and formulated all the basic principles. Science and art are both influenced by the Golden Ratio.

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Several balanced correlated parts exist.
The central is called the Golden Ratio and is a proportionally divided into unequal parts section, where the whole section is to the largest part as the largest part is to the smallest one. Or the smallest part is to the largest part as the largest part is to the whole.

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It is necessary to mention the Fibonacci numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 etc. The peculiarity of the numbers' succession is that each component, beginning with the third, equals the sum of the two previous ones 2 + 3 = 5; 3 + 5 = 8; 5 + 8 = 13, 8 + 13 = 21; 13 + 21 = 34 and etc., the adjoining numbers of the row relate to each other closly to how the numbers of the Golden Ratio relate to one another. So, 21÷34 = 0,617, and 34÷55 = 0,618.






The human body became the object of focused research using the Golden Ratio principle. Zeising accomplished colossal work. He measured about two thousand human bodies and came to the conclusion that the Golden Ratio describes an average rule. The division of the body in the navel point is the most important indicator of the Golden Ratio. The proportions of the body of a man waver within the average of 13÷8 = 1,625 and come closer to the Golden Ratio than the proportions of a woman’s body, as for which the average proportion is expressed in the 8÷5 = 1,6 relation.

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So, the most balanced correlation is 1.618.
You can ask why does an industrial designer need this mathematics and what practical use does it have?
The aspect ratio of an iPod Shuffle is 1.59, iPod Classic – 1.67. The aspect ratio of an iPhone4, the sales of which exceeded 1 million 700 models in the first four days, is 1.7.

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These sales results do not surprise the Apple fans, naturally the device is judged for other characteristics. But I think that Jonathan Ive didn’t choose the proportions accidentally. And not by chance Moleskine sell the exact replicas of the notebooks that Matisse, Van Gogh, Hemmingway and many others used. This is the actual story of humanity in books of 1.57 proportions.

The Golden Ratio occurs in the object world in both the direct reading, as the theme of stylization, and as a basic constructive principle, just like the violin of the great maestro Stradivari.

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In this case I can agree with Luca de Pacioli - in the Golden Ratio principle there is “divine essence”.