Platonic
/ Vectoral Geometry
The
geometry of 3D 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 scifi  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 inbetween 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 quasiperiodic
forms that are quite interesting to discover and
contemplate. Also handpainted acrylic fractal forms!


Minimal
Surfaces
Nature always conserves space & energy; soap bubbles
and wireframes were first used to observe the dynamics
of space conserving shapes


Fractal Art Image Gallery
NEW!!
HYPERDIMENSIONAL
Paul Laffoley Posters: DIMENSIONALITY, THANATON III & KALIYUGA
are Available Now at Miqel.com! CLICK TO VIEW LARGE PICS
