Mirage in the Painted Desert
Fractal Art Main Gallery

Every fractal image in this gallery was generated by iterating a single nonlinear equation such as the Mandelbrot equation zn+1 = zn2 + p without incorporating extra graphic manipulations (such as pasting two or more images). For example, in “Mirage” above, some of the mountains were changed to clouds by a different coloring scheme. The exciting element of fractal plotting is to unearth beautiful, curious, strange or startling images hidden in an equation. If you are interested, the methods are outlined in the Stories about Fractal Plotting and Fractal Art.

Click on any of the pictures below to see a larger version or a group of pictures having the same motif. Some of the pictures accompany technical descriptions that make reproductions possible. It is interesting to note, however, that because of the chaotic nature inherent to nonlinear equations, pictures are somewhat computer-dependent. For example, my new machine that utilizes higher-precision numbers is generally incapable of producing an exact replica of my older fractal image from the same equation and the same initial value.

Four Seasons
Spring Reflection
Cool Summer
Early Autumn
Golden Autumn
Winter Night
The M Set
Gold Plate
Silver Plate
Copper Plate
Cuttlefish Party
Seventh M set
Balancing Elephants
Circus Elephants I
Circus Elephants II
Jumping Elephants
Running Elephants
Elephant M Set
Snail
Pansies
Cosmos & Daisy
Dancing Beans
Caterpillar
Julia Dragons
Logistic Equation
Centipede Maze
Dancing Seahorses
Goldfish in Love
Moray Eel
Jellyfish Family
Newton’s Basins
Tamaracks
Constellations
Garden I
Garden II
Garden III
Crab Queue
Octopus Family
Barn Owl
Dragonfly
Scorpion War
Bee X-Ray
Crevasses
Lake
Chinese Mist
Japanese Wind
American West
South Pole
Go to Sekino’s Fractal Home Fractal Art Gallery Annex Stories about Fractal Plotting and Fractal Art