Atrise golden Section.pdf

8/11/2019 Atrise golden Section.pdf

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Atrise Golden Section

Recellie M. Mandado,Fely B. Esteva and Irene Lobia


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Golden Section is the only non

natural number whose mutual andwhose square keep unchanged itsdecimal part.

= 1,6180339892= 2,618033989

1/= 0,618033989


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The golden section has always had

a great influence on many subjects:Geometry

Architecture

Art

Music

Science(botanic)


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Egyptians and Greeks

It appears that the Egyptians mayhave used both pi and phi in thedesign of the Great Pyramids.

The Greeks based

the design of the

Parthenon on this proportion


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Geometry

Pythagoras was the first who discovered a goldenproportion drawing a regular pentagram, which has aregular pentagon inscribed within it(and that was thePythagorean's symbol as well).


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Euclid provides the first known writtendefinition of what is now call golden ratio

The golden ratio (phi) represented as a linedivided into two segments AandB, such thatthe entire line is to the longer Asegment astheAsegment is to the shorter B segment


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The ratio has a special relationship withFibonacciNumbers(1,1,2,3,5,8,13,21). Eachnumber is the sum of the two numbersbefore it. If you take any twosuccessive Fibonacci Numbers their

ratio is very very close to GoldenSection.

Golden Section


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FibonacciFibonacci discovered the first sequence ever known in Europe

examining at the same time a practical problem which dealtwith the development of a hypothetical population of rabbitsbased on idealized assumptions. He noticed that, after everymonthly birth, the number of the rabbits couples increasedfrom 1 to 2 to 3 to 5 to 8 to 13 etc., and understood that

the sequence moved on by adding the previous two numbers, asequence which could theoretically continue without ending.


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233 / 144

=1.6180555555555555555555555555556

Golden Ratio:1.618

Fibonacci Numbers=

1,1,2,3,5,8,13,21,34,55,89,144,233,377


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The special meaning of Phi

Phi is the first letter of Phidias,

who used the golden ratio

in his sculptures, as well as

the Greek equivalent to theletter "F," the first letter of

Fibonacci. Phi is also the

21st letter of the Greek

alphabet, and 21 is one

of numbers in the Fibonacci series.


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Phi as a door to understanding life

The description of this proportion as Golden

and Divine is fitting perhaps because it is seenby many to open the door to a deeperunderstanding of beauty and spirituality inlife. That's an incredible role for a single

number to play, but then again this onenumber has played an incredible role in humanhistory and in the universe at large.


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Golden Rectangle

b/a=1.618


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Golden Spiral


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In the end, the goldensection has alwaysfascinated us, and it

will continue because ofhis component ofirrationality andinexplicability.


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Fractals

In modern mathematics, the golden ratio occurs in thedescription of fractals, figures that exhibit self-similarity andplay an important role in the study of chaos and dynamicalsystems.


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Kochsnowflake

triangle Serpinski


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2nd Century Cathar Mosaic in theform of a Sierpenski Triangle

Stunning and Intricate Fractal Arabesque on a


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Stunning and Intricate Fractal Arabesque on aceiling panel

(4 x 4) at Delware Jain Temple, Mt. Abu, India,

1031AD.


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There are severalexamples of fractals,which are defined as

portraying exact self-similarity, quasi self-similarity, or statisticalself-similarity. Whilefractals are a

mathematicalconstruct, they arefound in nature, whichhas led to their

inclusion in artwork.They are useful inmedicine, soilmechanics, seismology,and technical analysis.
http://en.wikipedia.org/wiki/Artworkhttp://en.wikipedia.org/wiki/Seismologyhttp://en.wikipedia.org/wiki/Technical_analysishttp://en.wikipedia.org/wiki/Technical_analysishttp://en.wikipedia.org/wiki/Seismologyhttp://en.wikipedia.org/wiki/Artwork


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In nature


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Fractal Rivers in Savannah, Georgia


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Atrise Golden Section

This program is a unique design toolfor artists, designers, programmers,photographers. It allows us to design

using the golden section proportionvisually over our preferred designsoftware. This software makes it possibleto use one of the most effective andfinest secrets of harmony andperfectionthe golden section!


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Many developers use thisprogram to create beautifuldialogs and forms. We can also

use this program to findharmonious points and crop ourphotos. It supports third rule,

symmetry, attention points.


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The program will help us see

harmonious dimensions and forms.It will assist us in creatingelegant items, while staying away

from calculators and numbers.Simply launch the program,adjust the dimensions for thedesign and create!


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It is well known, that the important partof perception is perception of forms,

sizes and symmetry. Harmoniouscorrelation of sizes and forms is usedpractically everywhere in arts, design and

technology. The golden section allowsproducing beautiful pieces, using simplerules, and is accessible for every

designer. However, simplicity inachievement of harmony requirescalculations and a straight eye.


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Atrise Golden Section is a program, whichallows avoiding the routine operations,calculator compilations, planning ofgrouping and forms. We can see andchange the harmonious forms and sizes,

while being directly in the process ofworking on our project. Designing hasnever been that simple. The precision is

also available. The program offers easymethods of achieving sizes with accuracyto a nearest pixel.


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So what will the program help you seeand do?

Form and size correlation control. RatioSection look mode

Rectangle form control. Rectangle and simplelook modes

Symmetry. Rectangle look mode Square cells grid. Grid look mode Photo grids. Photo and border look modes Dimensions. Spirals and circles look modes Book design. Book and border look mode Geometry. Triangle look mode Program User Interface. Main Window.


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Supported Design SoftwareThis program is not a plugin. It works with almostall design software, including, of course, AdobePhotoshop.


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Different Grid Modes

We can see golden ratio grids,spirals, circles.

H i Di i d


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Harmonious Dimensions andForms

The program will help us find harmoniousdimensions and forms. We can createbeautiful digital artwork and real things.

Ph t F t


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Photo Features

We can also use this program to findharmonious points and crop our photos. Itsupports third rule, symmetry, attentionpoints.

S ft GUI D l t


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Software GUI DevelopmentMany developers use this program to

create beautiful dialogs and forms.


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Secret Features for Stocks

Golden ratio is usable everywhere,even for a stock quotes and marketanalysis!

K b d Sh t t


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Keyboard Shortcuts

[Space] - switch the grid orientation;[Enter] - switch the grid look;[ + ] - increasing the size;[ - ] - decreasing the size;

[Crtl] + [ + ] - precise increasing the size;[Crtl] + [ - ] - precise decreasing the size;[Shift] + [ + ] - increasing the grid size;

[Shift] + [ + ] - increasing the grid size;[Shift] + [ - ] - decreasing the grid size;[Shift] + [Crtl] + [ + ] - precise increasing

the grid size;


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[Shift] + [Crtl] + [ - ] - precise decreasing thegrid size;

Cursor keys - moving the window;Cursor keys with [Ctrl] - precise moving the

window;F1 - show user's manual;F2 - show the options dialog;[/], F3 - temporarily hide the main window (you

should press and hold the button down);

[*], F4 - show / hide window title and size grip;F12 - register the program.


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Mouse CommandsMouse Clicks

Right Button Click - switch the grid orientation;Middle Button Click - switch the grid look.

Mouse WheelWheel - increasing/decreasing the size;[Crtl] + Wheel - precise increasing/decreasing

the size;[Shift] + Wheel - increasing/decreasing the

grid size;[Alt] + Wheel - increasing/decreasing the

opacity.


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Thank you

Documents

Atrise golden Section.pdf