2026 Joint Mathematics Meetings
Bogdan Soban
Artists
Statement
I continue to develop my proper SW in order to achieve unusual graphic images which cannot be comparable with products of commercial graphic programs. Inside my program algorithms I try to apply my own ideas and new programming methodologies combined with different mathematical theorems. In this way I’m free to experiment different approaches and unusual ideas in generating digital images. In the same time I want to balance the technological and artistic value of an artwork.
Artworks
Approach used: diving into deformed Mandelbrot fractal, Fibonacci numbers.
The image is composed of three layers which were found somewhere in the depth of a deformed Mandelbrot fractal. Each layer was painted with a different coloring palette. The Mandelbrot formula for iterations is so modified that the fractal partially loses its standard view. The process uses color palette in the form of colored gradients made using Fibonacci sequence.
Approach: drawing of a symmetric object, Fibonacci numbers
Program draws a symmetric shape using algorithm based on polar coordinates of the elaborating point. The objects fuse with the background against the edges. In the first step three shapes of different dimension are drawn in the central position of the image using different formula and different palette. In the second step the same process repeats in each angle of the image. The coloring palette is created in a form of colored lines using Fibonacci sequence.