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NEWS:
HYPERDIMENSIONAL
Paul Laffoley Posters: THANATON
III and DIMENSIONALITY are Now Here!
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An Introduction to the Fascinating Patterns of Visual Math |
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.
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Very
Simple Iterative Fractals
Fractals
are patterns that repeat themselves; the simples examples
are the triangular subdivision and branching patterns below,
...
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Natural
fractals
Most
all patterns in nature are fractals - galaxies, plants,
mountains, coastlines, snowflakes, arteries, nerves, lungs,
clouds, rivers, seashells ....
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Minimal
Surfaces
Nature always conserves space & energy; soap bubbles
and wire-frames were first used to observe the dynamics
of space conserving shapes
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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!.
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The
Famous Mandelbrot Set
This
is arguably the most gorgeous, intricate & popular fractal
yet discovered. It also has cryptic relationships to magnetism
and dimensionality.
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Fractal
"wada" Basin Reflections
The
secret life of mirrored spheres seen from the inside. Place
a camera in-between spheres and an intricate fractal 'wada
basin' appears - amazing!
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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?"
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Other Fractals
& Patterns
There
are many other mathematical, fractal, geometric and quasi-periodic
forms that are quite interesting to discover, examine, and
contemplate ..topology & knot geometry.
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