Russian Federation
Geometric models and algorithms for generating fractal images as hyper-fractal sections by a plane of general position placed in a four-dimensional space of real and imaginary components of complex variables are presented. To visualize the hyper-fractal and control the position of the cutting plane, it is proposed to use a hyper-drawing, the cutting plane is considered attached to an active three-dimensional object – a «shuttle», which is controlled by shifts and elementary rotations around the base planes. To implement the proposed algorithms, the Python language is used in the environment of a three-dimensional editor for design – «Blender-3D»
hyper-fractal, Julia set, Mandelbrot set, hyper-drawing, multidimensional geometry, 4D space, Blender-3D
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