8/11/2019 Atrise golden Section.pdf
1/48
Atrise Golden Section
Recellie M. Mandado,Fely B. Esteva and Irene Lobia
8/11/2019 Atrise golden Section.pdf
2/48
8/11/2019 Atrise golden Section.pdf
3/48
Golden Section is the only non
natural number whose mutual andwhose square keep unchanged itsdecimal part.
= 1,6180339892= 2,618033989
1/= 0,618033989
8/11/2019 Atrise golden Section.pdf
4/48
The golden section has always had
a great influence on many subjects:Geometry
Architecture
Art
Music
Science(botanic)
8/11/2019 Atrise golden Section.pdf
5/48
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
8/11/2019 Atrise golden Section.pdf
6/48
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).
8/11/2019 Atrise golden Section.pdf
7/48
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
8/11/2019 Atrise golden Section.pdf
8/48
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
8/11/2019 Atrise golden Section.pdf
9/48
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.
8/11/2019 Atrise golden Section.pdf
10/48
233 / 144
=1.6180555555555555555555555555556
Golden Ratio:1.618
Fibonacci Numbers=
1,1,2,3,5,8,13,21,34,55,89,144,233,377
8/11/2019 Atrise golden Section.pdf
11/48
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.
8/11/2019 Atrise golden Section.pdf
12/48
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.
8/11/2019 Atrise golden Section.pdf
13/48
8/11/2019 Atrise golden Section.pdf
14/48
8/11/2019 Atrise golden Section.pdf
15/48
Golden Rectangle
b/a=1.618
8/11/2019 Atrise golden Section.pdf
16/48
Golden Spiral
8/11/2019 Atrise golden Section.pdf
17/48
8/11/2019 Atrise golden Section.pdf
18/48
In the end, the goldensection has alwaysfascinated us, and it
will continue because ofhis component ofirrationality andinexplicability.
8/11/2019 Atrise golden Section.pdf
19/48
8/11/2019 Atrise golden Section.pdf
20/48
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.
8/11/2019 Atrise golden Section.pdf
21/48
Kochsnowflake
triangle Serpinski
8/11/2019 Atrise golden Section.pdf
22/48
2nd Century Cathar Mosaic in theform of a Sierpenski Triangle
Stunning and Intricate Fractal Arabesque on a
8/11/2019 Atrise golden Section.pdf
23/48
Stunning and Intricate Fractal Arabesque on aceiling panel
(4 x 4) at Delware Jain Temple, Mt. Abu, India,
1031AD.
8/11/2019 Atrise golden Section.pdf
24/48
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/Artwork8/11/2019 Atrise golden Section.pdf
25/48
8/11/2019 Atrise golden Section.pdf
26/48
8/11/2019 Atrise golden Section.pdf
27/48
8/11/2019 Atrise golden Section.pdf
28/48
In nature
8/11/2019 Atrise golden Section.pdf
29/48
8/11/2019 Atrise golden Section.pdf
30/48
8/11/2019 Atrise golden Section.pdf
31/48
8/11/2019 Atrise golden Section.pdf
32/48
Fractal Rivers in Savannah, Georgia
8/11/2019 Atrise golden Section.pdf
33/48
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!
8/11/2019 Atrise golden Section.pdf
34/48
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.
8/11/2019 Atrise golden Section.pdf
35/48
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!
8/11/2019 Atrise golden Section.pdf
36/48
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.
8/11/2019 Atrise golden Section.pdf
37/48
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.
8/11/2019 Atrise golden Section.pdf
38/48
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.
8/11/2019 Atrise golden Section.pdf
39/48
Supported Design SoftwareThis program is not a plugin. It works with almostall design software, including, of course, AdobePhotoshop.
8/11/2019 Atrise golden Section.pdf
40/48
Different Grid Modes
We can see golden ratio grids,spirals, circles.
H i Di i d
8/11/2019 Atrise golden Section.pdf
41/48
Harmonious Dimensions andForms
The program will help us find harmoniousdimensions and forms. We can createbeautiful digital artwork and real things.
Ph t F t
8/11/2019 Atrise golden Section.pdf
42/48
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
8/11/2019 Atrise golden Section.pdf
43/48
Software GUI DevelopmentMany developers use this program to
create beautiful dialogs and forms.
8/11/2019 Atrise golden Section.pdf
44/48
Secret Features for Stocks
Golden ratio is usable everywhere,even for a stock quotes and marketanalysis!
K b d Sh t t
8/11/2019 Atrise golden Section.pdf
45/48
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;
8/11/2019 Atrise golden Section.pdf
46/48
[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.
8/11/2019 Atrise golden Section.pdf
47/48
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.
8/11/2019 Atrise golden Section.pdf
48/48
Thank you
Top Related