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Mojobug's FractalLand

This site is dedicated to the genius and inventiveness of Benoit Mandelbrot and F. Kenton Musgrave who brought this new art form to us and also to those who appreciate it.

A small sampling of my works for sale (Click for larger images)

Pictures for sale are printed as Heavy Giglee on Archival paper

Using 200 Year Rated Pigmented Inks

Print Sizes Available up to 13" x 44" (Depending on Print)

Framed and Matted or as Prints Ready For Framing

Prices Available On Request

All Images Copyrighted by C.Wm.House 2002-2008 

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MojoBug

Click The Picture For Larger Images

 
Weather Underground PWS KFLBRADE28

 

 

 

You Are The

Visitor To MojoBug's Fractalland!

 

 

 

 

          "Pawn's Fortress"  

 

 

 

      

 

 

 

 

   "Harbinger"

 

 

 

           

 

 

 

           "Amid The Cliffs"  

 

 

 

      

 

 

 

  "Knotphuhl"

 

 

 

           

 

 

               "Celestial Shower"  

 

 

 

    

 

 

 

 

 "Below Beckiis"

 

 

 

 

          

 

 

 

                          "Devil's Gate"  

                                          

 

 

 

 

     

      

 

 

   "Moat Of Air"

 

 

 

 

          

                          

 

"Prayerful Desolation"    

 

 

 

 

        

 

 

   "Above The Gaunt"

   

 

         

        

 

 

           "Midnight Clear"  

 

 

 

 

          

 

  

 

   "Arctic Monument"

 

 

 

      

          

 

 

 

               "Christmas Creek"  

 

 

 

 

          

 

 

 

  "Tioga Moon"

 

 

 

           

 

 

                      

"Home To Roost"  

 

 

                    

            

 

 

     "Under Nature's Siege"

 

 

 

       

 

 

 

 

  "Reflections In An Oasis"  

 

 

 

      

 

 

 

 

  "Stone Sentinels"

 

 

 

           

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Also Available for your consideration:

Dawn Approach

Aspirations

Primitive Aspirations

Advancing Aspirations

Aspirations Realized

Blade Of Grass

Castle Lagoon

Beneath Titan's Shoulder

Huygen's Revelation

What are "Fractals"?

Perhaps I should let Professor F. Kenton Musgrave, the Father of Fractal Artistry explain it to you...
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"What does it take to build a world? This is the central question of my research. My overarching goal is the creation from first algorithmic principles of an entire planet, well-defined everywhere and at all scales, with visual complexity, appearance, and beauty similar to Earth, and to bring that model to real-time performance. Needless to say, this undertaking subsumes a large number of interesting and challenging elements. These include developing our capabilities in visual realism, models of natural phenomena, computational efficiency in such models, and algorithmic art. I am confident that there are enough challenges involved to keep me busy for the rest of my days. 

A planet, at the scales of ordinary human experience, is defined by its landscapes. Landscapes are in turn defined by the form of the land, the lighting, the current state of the atmosphere, and by the life forms found within it. My research encompasses the first three, terrain, lighting, and atmospherics; peculiarities of taste and predilection lead me to eschew modeling life forms, leaving them to others to perfect. There is no accounting for taste, and "I love landscapes!" 

All successful synthetic terrain models for computer graphics are fractal: That is, they feature complexity resulting from the repetition of form over a variety of scales. The complexity resulting from this repetition of form over many scales leads to the odd idea of fractal dimension: a spatial dimension which is intermediate between the familiar integer-valued (i.e., 1, 2, and 3) dimensions we're used to dealing with. Most fractal terrains are based on a fractal function called fractional Brownian motion or fBm for short. FBm is simply a sum of randomly phase-shifted sine waves, the amplitude of which varies with frequency as 1/fß for 1<=ß<=3. FBm has a jagged trace which resembles the skyline of a mountain range. Mandelbrot observed this and reasoned that extending the function to two (-point-something, if you insist) dimensions would result in a surface resembling mountainous terrain. He did so and presto! fractal mountains were born. 

FBm is, by design, statistically homogeneous and isotropic. That is, while it is not exactly the same in any two places, it has the same "feel" everywhere. Real terrains are more complex than that. In computer graphics we use a variety of bastardized schemes to approximate fBm; when I started working with him in 1987 Mandelbrot was interested in ameliorating some of the documented artifacts inherent in efficient fBm-approximation algorithms. Following his lead I developed some conjectures of my own concerning the morphology of terrain which lead to models which incorporate heterogeneity, e.g., valleys which are smoother than peaks. I had not yet heard of the term at the time, but these models were multifractals: heterogeneous fractals the heterogeneity of which is the same over a variety of scales. Multifractal models I'm currently developing preserve the elegance of fBm to a large degree (only one more parameter is added) while extending fBm's expressive power: A multifractal terrain model can, for instance, readily provide plains, rolling foothills, and alpine mountains all in one surface patch. Turbulence has long been known to be composed of a hierarchy of eddies; hence it is fractal. Furthermore, turbulence is multifractal ; it is one of my current research goals to use my multifractals to construct improved ontogenetic models of turbulence for computer graphics."

Professor F. Kenton Musgrave Ph.D
Fall 1994

"Cyberspace. A consensual hallucination experienced daily by billions of legitimate operators, in every nation, by children being taught mathematical concepts...A graphic representation of data abstracted from the banks of every computer in the human system. Unthinkable complexity. Lines of light ranged in the nonspace of the mind, clusters and constellation of data. Like city lights, receding..."

--William Gibson, "Neuromancer"

 

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