The Fractals Journal

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For over 16 years, the Fractals journal has been published every three months.
And the World Scientific Publishing Co. hosts information about this journal:
    http://www.worldscinet.com/fractals/fractals.shtml

The past volumes are available online at:
    http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:fractals&type=all
Where the most recent issue includes a 14 page article by BENOIT B. MANDELBROT and MICHAEL FRAME.

Some of the most accessed articles are:

• Estimating The Fractal Dimension Of Plants Using The Two-Surface Method: An Analysis Based On 3D-Digitized Tree Foliage
  Frédéric Boudon, Christophe Godin, Christophe Pradal, Olivier Puech And Hervé Sinoquet
• Estimation Of The Fractal Dimension Of Fracture Surface Patterns By Box-Counting Method
  Manabu Tanaka, Atsushi Kayama, Ryuichi Kato And Yoshiaki Ito
• A Generalized Mandelbrot Set For Bicomplex Numbers
  Dominic Rochon
• Structural Scaling In Bach's Cello Suite No. 3
  Harlan J. Brothers
• Fractal Analysis Of Dendritic Arborisation Patterns Of Stalked And Islet Neurons In Substantia Gelatinosa Of Different Species
  Nebojša T. Milošević, Dušan Ristanović, Jovan B. Stanković And Radmila Gudović

Most issues contain around a dozen articles, where each article is several pages long.   And there is a lot of good material to be found for those with the time for reading.