You can build amazingly complex fractal-like shapes by using these DF patterns iteratively. For example, you can subtract various scaled versions of a pattern from a volume. You can also use the 21 Logic tools # partial subtract to cut smaller and smaller portions from a volume.The Random spheres pattern applied iteratively on a volume using Logic Tools partial subtractYou can also use a straight subtract with 21 Logic tools #, but the volume tends to disappear quickly. However many of the logic tools provide a blend control so you can attenuate the disappearance across iterations as in the example file Voyager 4.O examples/DF Fractales V7 /DF Pattern fractales/DF Pattern Fractal BorgCube.vy where the pattern's intersection is blended at O.25 with the original.Another possibility is to accumulate several octaves of the texture in a compiled tree (CT) using memory min or max and use the modified result as in the example file Voyager 4.O examples/DF Fractales V7 /DF Pattern fractales/ DF Pattern Mystery box.vy
Fractal Mapper Full Version 31
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discussion : A 3D fractal noise created by summing 3D Perlin noise functions with varying fractal dimension (roughness). "Multi-Fractal" indicates that the fractal dimension (a measure of the surface roughness) changes randomly over the surface. As you can see below, the apparent roughness is not uniform as it is with the Fractal Noise component.This 3D version of MultiFractal noise can be used as a volumetric texture or displacement map and can also modulate DF 3D objects. It can also be used to animated a 2D terrain when connecting the z input to time (or to an keyframe animated constant).'Frequency' has the standard frequency options while 'Amplitude' controls the elevation heights.The maximum frequency is limited by the Maximum iterations for fractals preference. Example: MultiFractal noise blended with a DF sphere and plane.
discussion : A 3D multi-fractal created by filtering the output of Perlin noise functions through a cubic ceiling function.The 3D version can be used as a volumetric texture or displacement map and can also modulate DF 3D objects.'Frequency' abides to the standard frequency options while 'Amplitude' controls the elevation heights.The maximum frequency is limited by the Maximum iterations for fractals preference.
discussion : This function is the 3D equivalent of 21 Ridged fractal noises #. It is a multi-fractal function composed of ridged 3D Perlin noise (1-abs(n)). This fractal function was designed by Ken Musgrave and is a good approximation of ridged mountains. The fractal dimension is smoothest in the valleys. This function only generates values greater than 0. The 3D version can be used as a volumetric texture or displacement map and can also modulate DF 3D objects. It can also be used for animated 2D terrain when connecting the z input to time (or to an keyframe animated constant). 'Frequency' has the standard frequency options while 'Amplitude' controls the elevation heights.The maximum frequency is limited by the Maximum iterations for fractals preference. Example: Ridged Fractal noise blended with a DF sphere and plane.
discussion : 3D version of the 2D Crystal Noise component. This is a structured fractal-based noise based on random noise subjected to triangular lattice linear interpolation. Crystal noise features sharp ridges and is often used along with a 22 fractal displacement. This function only generates values greater than 0. 'Frequency' abides to the standard frequency options while 'Amplitude' controls the elevation heights.
Abstract:The high-grade uranium deposits in the Xiemisitan area, northwestern China, are genetically associated with the faulting of felsic volcanic or sub-volcanic rocks. Ferric iron alteration indicates that oxidizing hydrothermal fluids percolated through the rocks. In this study, we measured the gamma-ray intensities of rocks in the Xiemisitan area and we propose a hybrid method for the mapping of ferric iron alteration using concentration-area fractal modeling and spectral angle mapper. The method enables ferric iron alteration to be distinguished from potash-feldspar granitic rocks. The mapping results were integrated with structural data to assist with exploration for uranium in the study area. Using this approach, six prospective areas of mineralization were proposed. Of these areas, two anomalies with high gamma-ray intensities of 104 and 650 Uγ were identified and verified by field inspection. These observations suggest that Enhanced Thematic Mapper Plus images are a valuable tool that can improve the efficiency of uranium exploration.Keywords: enhanced thematic mapper plus; concentration-area fractal modeling; spectral angle mapper; uranium exploration; Xiemisitan area; Northwest China
This essay is presented with two principal objectives in mind: first, to document the prevalence of fractals at all levels of the nervous system, giving credence to the notion of their functional relevance; and second, to draw attention to the as yet still unresolved issues of the detailed relationships among power-law scaling, self-similarity, and self-organized criticality. As regards criticality, I will document that it has become a pivotal reference point in Neurodynamics. Furthermore, I will emphasize the not yet fully appreciated significance of allometric control processes. For dynamic fractals, I will assemble reasons for attributing to them the capacity to adapt task execution to contextual changes across a range of scales. The final Section consists of general reflections on the implications of the reviewed data, and identifies what appear to be issues of fundamental importance for future research in the rapidly evolving topic of this review. 2ff7e9595c
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