Wednesday, December 24, 2008
Sunday, October 19, 2008
You can see Fibonacci spiral even in shapes of galaxies. Ivars Peterson in his article Sea Shell Spirals proved this fact. Nevertheless, Nautilus shell is one of examples of fractals in nature.
Sunday, October 12, 2008
Wednesday, September 24, 2008
Sunday, July 6, 2008
One of them is artist from England David Bailey. He creates his images in pen and watercolour.
The main motifs of his tessellations are birds.
The more complex constructions come in, when two distinct motifs are used in conjunction with each other.
Besides usual animals David Bailey uses imaginary creatures to create his wonderful artworks. Below you can see dinosaur-like creatures. The main distinguishing feature of this drawing is that only part of the image was used for animals, when other space shows only borders of elementary tiles. It helps to better understand, which kind of symmetry was used in every case.
Also he created several artworks, which reminds Escher's artworks with mutable tessellations like Metamorphoses. The image below shows the same process as in Escher's lithograph Development I. But David Bailey used birds as motif for his artwork instead of Escher's lizards.
The reverse process is shown in the image below.
More images by David Bailey you see at his personal site http://www.tess-elation.co.uk/. Besides this you you read some articles about tessellation art and Escher's artworks.
Sunday, June 22, 2008
Also, a wave with horses figures are depicted on the cover of English rock group Keane "Under The Iron Sea" (2006).
Wednesday, April 30, 2008
Like the Sierpinski carpet begins from square, Menger sponge begins from cube. Every face of the cube is divided into 9 smaller squares. This operation divide the cube into 27 smaller cubes. Then center cubes from all faces and the inner center cube are removed, leaving 20. This is a level 1 Menger Sponge. The next levels forms by repeating these steps to all 20 cubes rest. Below you can see first four levels.
Below you can see the Menger sponge with cut off corner, which was designed by Seb Przd.
Saturday, April 26, 2008
Friday, April 18, 2008
Andrew Pike used two series of several generations of the fractal. The one series began from the black color, and another from white. He designed a computer program, which divided a photo of Wacław Sierpiński into squares of various values of grey color. To avoid strong color changing he used dithering technique.
So, the inventor of the fractal was pictured with his fractal.
Friday, April 11, 2008
Thursday, March 20, 2008
Saturday, March 1, 2008
The rainbow fractal Julius tree below was crated with help of the computer program Fractal Imaginator. The tree reminds rounded Pythagoras tree, where squares were replaced to thin rectangles. The tree fractal can be created not only with help of straight lines or rectangles, but also with help of curves and spirals. Below, you can see a title for the High School Course "Gödel, Escher, Bach: A Mental Space Odyssey" by Justin Curry and Curran Kelleher, where curved fractal tree is used. The spiral was chosen as base element for this fractal, which gives many elegant curls.
Monday, February 18, 2008
But the Hilbert curve looks more interesting if it represent in three dimensions. Carlo H. Séquin, a professor of Berkley, created a small 5" metal sculpture of Hilbert curve, which he called "Hilbert 512". You can see it below.
It was also be modeled by Torolf Sauermann in the program Maxwell renderer. Below, you can see the second step of the three-dimensional Hilbert curve and two versions of cubic Hilbert curve.