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The projection of fractal objects

Abstract

Motivated by several recent studies on the geometry of molecular cloud structures, we perform two experiments that consider the projection of fractal images onto a two-dimensional screen. Evidence is presented to support the proposition that the dimensionD P of the contours surrounding the projected images are given byD s−1, whereD s>2 is the fractal dimension of the object itself. A brief survey of the geometry of astrophysical cloud structures is also presented.

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Beech, M. The projection of fractal objects. Astrophys Space Sci 192, 103–111 (1992). https://doi.org/10.1007/BF00653265

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Keywords

  • Fractal Dimension
  • Projected Image
  • Molecular Cloud
  • Fractal Image
  • Fractal Object