Sekino's Fractal Art Gallery II

The gallery comprises images given by a variety of techniques based on advanced ideas in college mathematics. The images are classified into three groups:





§ 1. Fractal Mountains and Forests




Fractal Mountains


The mountains appear realistic as its height function is nowhere differentiable and the terrain shows a typical fractal structure.











Smooth Mountains


The mountains are smooth as the height function is everywhere differentiable. Since every small neighborhood of a point on the surface resembles the tangent plane at the point, the smooth mountains are not a fractal. This is the only non-fractal shown in this section.











Cartoonish Mountains


This image technically lies somewhere between the preceding two examples as the height function is mostly smooth but still has infinitely many sharp points. Stories About Fractal Plotting shows how to plot this type of fractals.












Dino Mountains







  Continue   or  Return to the
Top:





Mountain Road














Mountain Trail














Mountain Trail
















Birdless Island


Only a computer can show a realistic island without birds.














Twin Camel Rocks


Yes, only a computer can build perfectly symmetric rocks.







  Continue   or  Return to the Top:






Japanese Ink Drawing


No, a computer cannot create a flock of geese like mountains.












Pencil Drawing















Winter Mountains















Spring Mountains













Wisteria Forest













Tamarack Forest




  Go to Top of the Page Fractal Home
        or
     Gallery  I: The Mandelbrot Set Logistic Equation, Etc Julia Sets Newton Fractals
     Gallery II: Fractal Mountains and Forests Fantasy Landscapes Fractals on Nonplanar Surfaces