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A fractal approach to the dark silicon problem: A comparison of 3D computer architectures – Standard slices versus fractal Menger sponge geometry

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  • Herrmann, Richard

Abstract

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. In the following it is shown, that for iteration orders n>3 the fractal model shows increasingly better thermal behavior. As a consequence cooling problems may be minimized by using a fractal architecture.

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  • Herrmann, Richard, 2015. "A fractal approach to the dark silicon problem: A comparison of 3D computer architectures – Standard slices versus fractal Menger sponge geometry," Chaos, Solitons & Fractals, Elsevier, vol. 70(C), pages 38-41.
    • Handle: RePEc:eee:chsofr:v:70:y:2015:i:c:p:38-41
    DOI: 10.1016/j.chaos.2014.11.004
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    References listed on IDEAS

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    1. Sergeyev, Yaroslav D., 2009. "Evaluating the exact infinitesimal values of area of Sierpinski’s carpet and volume of Menger’s sponge," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3042-3046.
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