Platonic
/ Vectoral Geometry
The
geometry of 3-D faceted symmetrical shapes, composed of
faces, edges and vertexes. They reflect the fundamental
properties of empty space.
|
Very
Simple Iterative Fractals
Fractals
are patterns that repeat themselves; the simples examples
are the triangular subdivision and branching patterns below,
...
|
Natural
fractals
Most
all patterns in nature are fractals - galaxies, plants,
mountains, coastlines, snowflakes, arteries, nerves, lungs,
clouds, rivers, seashells ....
|
Multi
Dimensional Forms
No
longer sci-fi - multiple dimensions are an accepted &
proven fact of mathematics and physics. The $1,000,000 question
is "how many exist?"
|
The
Famous Mandelbrot Set
This
is arguably the most gorgeous, intricate & popular fractal
yet discovered. It also has cryptic relationships to magnetism
and dimensionality.
|
Visual Guide to the Mandelbrot Set
(NEW Jan 2010) A basic guide to the wide variations of patterns & names of various regions of the Mandelbrot set. Seahorses, needles, spirals, etc.
|
PHI
- the Golden Ratio
'the
Golden Mean', this ratio is 1 to 1.618. In the pic below
each square is 1.618 x the size of the next. This pattern
appears everywhere, even your body!.
|
Categories & Types Of Fractals
(NEW Jan 2010) There are many mathematical functions that can produce interesting fractals. mandel & julia sets, chaotic attractors, IFS & more
|
New 3 Dimensional Fractal Explorations
(NEW Jan 2010) Fractals can be visualized in any number of dimensions. traditional fractals are viewed on a 2D plane, but new visualizations are changing that. 
|
Wada Basin Sphere Fractals
The
secret life of mirrored spheres seen from the inside. Place
a camera in-between spheres and an intricate fractal 'wada
basin' appears - amazing!
|
Fractal Technology & Historical Fractals
Fractals occur in art throught history yet they have only been formally defined in the late 20th century. Amazing Fractal technology is now being developed.
|
Other Fractals & Cool Patterns
(NEW Jan 2010) There
are many fractal, geometric and quasi-periodic
forms that are quite interesting to discover and
contemplate. Also hand-painted acrylic fractal forms!
|
| |
Minimal
Surfaces
Nature always conserves space & energy; soap bubbles
and wire-frames were first used to observe the dynamics
of space conserving shapes
|
|
Fractal Art Image Gallery
NEW!!
HYPERDIMENSIONAL
Paul Laffoley Posters: DIMENSIONALITY, THANATON III & KALI-YUGA
are Available Now at Miqel.com! CLICK TO VIEW LARGE PICS
|
