According to this post from Sacred Geometry Mandala Art, Phytagoras described geometry as visual music. Music is created by applying laws of frequency and sound in certain ways. States of harmonic resonance are produced when frequencies are combined in ways that are in unison with universal law.
So sacred geometry is used in Tibetan Buddhist Mandalas & in building religious Cathedrals or temples.
These same laws can be applied to produce visual harmony. Instead of frequency and sound it is angle and shape that are combined to produce visual symphonies that show the harmonic unification of diversity. The same spiral is found across the universe, with spiralling galaxies using the same ratios.
What is the golden Ratio, in short the Golden Ratio is 1.61803399, this numerical value finds itself in many places in nature and the universe, if you have seen Leonardo' Vitruvian man it's the dissection of the human body using the Golden ratio. So Leonardo da Vinci can be said to be the 'Godfather' in the use of fractal mathematics in the arts as you can see from his work below.
Recently I have also been looking at fractal geometry and it's usages in computer graphics. As Computer Graphics artist use fractal forms to create textured landscapes that give more of a 3D look, mountain views but one can also use the more basic form of the Sierpinski Triangle above as part of one owns deign or the Koch Snowflake construction or like Paul Cezanne wrote to Emile Bernard in 1904: Everything in Nature is modelled according to the sphere, the cone and the cylinder you have to paint with reference to the simple shapes: than you can do anything. By contrast in Fractal Geometry of Nature Benoit Mandelbrot the Mathematician responsible for coning the name fractal had different view on this saying that: clouds are not spheres, mountains are not cones, coastlines are not circles and bark is not smooth nor does lightning travel in a straight line and he also said that to appreciate the nature of fractals recall Galileo's splendid manifesto that's said: 'Philosophy is written in the language of mathematics and it's characters are triangles,circles and other geometric figures without which one wanders about in a dark labyrinth.'
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Some great fractals are also the Julia sets, devised by the French mathematician Gaston Julia (1893-1978). The Julia Sets are generated by applying an iterative non-linear process based on a very simple square-law function.
I am also interested in the space filling-curve: is a curve whose range contains the entire 2-dimensional unit square or n-dimensional hypercube Giuseppe Peano was the first one to discover one so they are usually called the Peano curves here is an example.
There are fractals in nature such as broccoli with their molecular structure and I have been thinking to incorporate this different elements in my digital art work. At the moment my digital art work is not inspired from nature but I would like to introduce more natural elements to see if it gave my digital art work a more realistic or natural look and to experiment with patterns, or maybe incorporate photographs of objects into my digital art work
The challenge with digital art is that it looks good on the computer screen but sometimes when one prints out the work it doesn't look as good or takes on a fantasy, fantastic style look like the examples below and it all turns into the same sleek 'fantasy kind of theme'. So I have been questioning by looking at other digital work, fractals, Op art on how to make my digital art work stand out original different from the general fantasy landscapes I see around but also printable that could be shown in an actual Gallery Space by using geometry as a way of depicting spacial depth this is still work in progress as in digital art the better the equipment one has the better the digital art work. There is also the challenge that digital art is still seen in a separate section from main stream art it would really be great to break this boundary and that digital art become more main stream and accepted in main stream art as it is just another medium to make art and being creative.
Mirta Imperatori Copyright 2012
Mirta Imperatori Copyright 2012
Mirta Imperatori Copyright 2012
This is my current digital art work that I have been recently working on. I have been experimenting with geometrical shapes and non to create spatial landscapes. I hope in the future to learn new programmes as this I am the moment is limiting the type of digital art work I am producing. For the current artwork I just used one computer programme I am familiar with.
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