1 ASOCIACION AIKIDO KEITENKAI THE SPIRAL FORM IN AIKIDO Aikido keiten Ryu. AUTHOR ANTONIO PADILLA The spiral form Is located in the context of the most common shapes in nature, both as object and as physical phenomena associated with optimization processes in natural form and identifies and describes their frequent presence in the techniques of Aikido. Thus demonstrating the close relationship of Aikido with nature and linked to optimal processes on their techniques. October 2012 - Lima – Peru
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ASOCIACION AIKIDO KEITENKAI
THE SPIRAL FORM IN AIKIDO
Aikido keiten Ryu.
AUTHOR
ANTONIO PADILLA
The spiral form Is located in the context of the most common shapes in nature, both as object and
as physical phenomena associated with optimization processes in natural form and identifies and
describes their frequent presence in the techniques of Aikido. Thus demonstrating the close
relationship of Aikido with nature and linked to optimal processes on their techniques.
October 2012 - Lima – Peru
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1. INTRODUCTION. FORMS IN NATURE.
In nature many geometric shapes are identified and found that some of them are repeated
more often than others, the reason for this is not known, but through research in different
fields of human endeavor are finding some answers. It is mentioned (1, 2) that the forms which
are more common in nature are the sphere, the hexagon, spiral, helix, the angle, the wave,
the parable, fractals, the catenary. To understand them, they are modeled idealizing them
mathematically:
These forms have some quality that makes them occur in nature, associated with specific
functions in the physical or biological processes (3), so for example, the sphere is the form
which protects because it has minimal surface for a given volume, the spiral presents
maximum length in minimum space for this reason it is said that the spiral packages.
The presence of the spiral form in the objects that constitute nature, physical phenomena,
and even non-physical processes, for instance financial, is abundant, which indicates that this
form is important.
In the case of Aikido, is important because it is in the path of many techniques during its
execution, so that we approach it in this paper.
SPHERE CONE HELIX WAVE
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2. THE SPIRAL FORM IN MATHEMATICS (4)
Spiral: There are several types of spirals, but, their common feature is that is formed by a point
revolving around a reference point and going away from it, in a plane:
It is also appropriate to mention that the helices are spirals in space:
3. SPIRAL FORM IN NATURE
The spirals are present in the kingdoms of nature; we will carry out the presentation of some
examples that demonstrate their presence:
Spiral of Archimedes Logarithmic Spiral or
Growth Spiral Fermat Spiral
Cylindrical Helix
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3.1 The Spiral Form in Vegetables
It is present in its inner structure in plants in more than 85% of them in the distribution of the
leaves on the stem, as seen in the treaties of phyllotaxis, that are distributed so that they all
they are located spiral forming a helix, in positions following a distribution according to
numbers series of Fibonacci(5), which occurs admirably very frequently in nature, this
distribution allows the leaves receive sunlight optimally without interference as possible:
There are many other examples of the spiral in nature:
SPIRAL ALOE
SUNFLOWER FLOWER presents
spiral in both directions
VINE TENDRIL
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3.2 The spiral form in animals
In the animal kingdom, we find this form for example on snails, on the horns of sheep in
humans; in the cochlea of the ear, in the human heart muscle fibers are observed conical
spirals:
The Nautilus Pompilius, has its shell in form of logarithmic spiral, allowing it to grow without
changing its shape. Was studied by the biologist and mathematician D'Arcy Thompson, in his
classic work On Growth and Form, 1917. I got the image on
http://www.laputanlogic.com/articles/2005 / 04/index.html, in this image we can see the
cutting of the shell of a nautilus, in which the cameras are seen forming a logarithmic spiral:
The spiral shape can also be observed in some animals: