The dark silicon problem, which limits the power-growth of future computer generations, is interpreted as a heat energy transport problem when increasing the energy emitting surface area within a given volume. A comparison of two 3D-configuration models, namely a standard slicing and a fractal surface generation within the Menger sponge geometry is presented. It is shown, that for iteration ord...

The fractal antennas that have the multiband operation due to the self-similar property in fractal geometry, which plays a key role to create a fractal circular monopole patch antenna. The other important property that is, Space-filling property which actually determines the reduction in the size of the antenna. This property adds more electrical length in less volume which reduces the size of ...

The stress-strain relationship of frozen soil is important to indicate the strength of frozen soils in use. According to traditional mechanics, the stress-strain relationship in geomaterials is a smooth curve. However, some studies have shown that the real stress-strain curves of geomaterials, such as concrete, rock and frozen soil, are step-like and that they have fractal characteristics. Ther...

The Invariant Set Hypothesis proposes that states of physical reality belong to, and are governed by, a non-computable fractal subset I of state space, invariant under the action of some subordinate deterministic causal dynamics I D . The Invariant Set Hypothesis is motivated by key results in nonlinear dynamicalsystems theory, and black-hole thermodynamics. The elements of a reformulation of q...

BACKGROUND Fractal geometry estimates have proven useful in studying the growth strategies of fungi in response to different environments on soil or on agar substrates, but their use in mycelia grown submerged is still rare. In the present study, the effects of certain important fermentation parameters, such as the spore inoculum level, phosphate and manganese concentrations in the medium, on m...

Strange attractors are stable sets of vector field flows that have a fractal geometric structure in one dimension, and smooth surface behaviour in the other two. Previous visualization methods show the flow dynamics well, but not the fractal structure. Here we approximate the attractor by polygonal surfaces, which reveal the fractal geometry. We start with a polygonal approximation which neglec...

One of the main directions in application mathematical methods construction - is to create complex objects using simple algorithms fractal geometry with use computer technology. The describe real systems, particular, development architectural appearance city and design modern structures most amazing shape, will allow solving problems research forecasting urban environments development.

In this paper, a dual-band Substrate Integrated Waveguide (SIW) resonator with Sierpinski fractal geometry is proposed. The space-filling property of the employed fractal shape allows to reduce the resonator size. The bandwidth, the minimum insertion loss, the maximum return loss and the stop band rejection are considered for evaluating the effect of the fractal geometry on the resonator charac...

ractal geometry provides a basis for modF eling the infinite detail found in nature. Fractal methods are quite popular in computer graphics for modeling natural phenomena such as mountains, clouds, and many kinds of plants. Linear fractal models such as the iterated function system (IFS), recurrent iterated function system (RIFS), and Lindenmeyer systern (L-system) concisely describe complex ob...