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MATEMATICAS: FRACTALES
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Respuesta  Mensaje 1 de 30 en el tema 
De: BARILOCHENSE6999  (Mensaje original) Enviado: 04/08/2012 00:54
Hey TCJ
look at the
Image

the tree looks like a fractal

As one illustration, trees, ferns, cells of the nervous system,[17] blood and lung vasculature,[32] and other branching patterns in nature can be modeled on a computer by using recursive algorithms and L-systems techniques.[17] The recursive nature of some patterns is obvious in certain examples—a branch from a tree or a frond from a fern is a miniature replica of the whole: not identical, but similar in nature

The connection between fractals and leaves, for instance, is currently being used to determine how much carbon is contained in trees.

Image
this is a Karperien fractal Branch

Examples of phenomena known or anticipated to have fractal features are listed below:

clouds
river networks
fault lines
mountain ranges
craters
lightning bolts
Romanesco broccoli



coastlines
snow flakes
various vegetables (cauliflower and broccoli)
animal coloration patterns.
heart rates
heartbeat



earthquakes
snow flakes
crystals]
blood vessels and pulmonary vessels,
ocean waves
DNA


DNA seems a very interesting one when you think of Bloodlines


Paschal pyramid...triangle
Image


Blaise Pascal
was a French mathematician, physicist, inventor, writer and Catholic philosopher. He was a child prodigy who was educated by his father, a tax collector in Rouen
In 1646, he and his sister Jacqueline identified with the religious movement within Catholicism known by its detractors as Jansenism

His father died in 1651. Following a mystical experience in late 1654, he had his "second conversion", abandoned his scientific work, and devoted himself to philosophy and theology. His two most famous works date from this period: the Lettres provinciales and the Pensées, the former set in the conflict between Jansenists and Jesuits. In this year, he also wrote an important treatise on the arithmetical triangle.

Pascals calculator
Image


Blaise Pascal invented the mechanical calculator in 1642

_________________
Everything is Connected and there are no
coincidences
 
http://andrewgough.co.uk/forum/viewtopic.php?f=1&t=3596&sid=ef7604aca2c7e12e59f72039bf02e04c&start=225
 


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De: BARILOCHENSE6999 Enviado: 04/08/2012 00:55
There's a theory that the Antikythera mechanism could have been a device used by the oracles of those times. Imagine how impressive it's quick use and results would have been to the unknowing seeking advice.

The Snowflake Curve:

Quote:
The snowflake curve is connected in the sense that it does not have any breaks or gaps in it. But it's not smooth (jagged, even), because it has an infinite number of sharp corners in it that are packed together more closely than pebbles on a beach.



Image


Respuesta  Mensaje 3 de 30 en el tema 
De: BARILOCHENSE6999 Enviado: 04/08/2012 00:55
There's a theory that the Antikythera mechanism could have been a device used by the oracles of those times. Imagine how impressive it's quick use and results would have been to the unknowing seeking advice.

The Snowflake Curve:

Quote:
The snowflake curve is connected in the sense that it does not have any breaks or gaps in it. But it's not smooth (jagged, even), because it has an infinite number of sharp corners in it that are packed together more closely than pebbles on a beach.



Image

http://scidiv.bellevuecollege.edu/Math/Snowflake.html


Here is a crop circle
Image

1997 Silbury hill Koch Snowflake. This beautiful pattern is actually just a regular triangle that is repeated within itself

it is a hexagon
_________________
Everything is Connected and there are no
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Respuesta  Mensaje 4 de 30 en el tema 
De: BARILOCHENSE6999 Enviado: 04/08/2012 00:56
 
it is interesting you bring up fractals
some crop circles represent fractals
this one is amazing
Image

A Fractal Representation of Pi… In a Crop Circle
it took a retired astrophysicist to decode it

http://www.astroengine.com/2008/06/a-fractal-pattern-representation-of-pi-in-a-crop-circle/#ixzz1qLb0KDiY

Image
this some say is a fractal
http://www.cropcircleconnector.com/Bert/3dfractals.html

In the mid 90s some of the found crop circles were based on fractals. For instance the so-called 'Julia set' at Stonehenge in 1996 and the 'Triple Julia set' at Windmill Hill the same year. Or the Koch-fractals in 1997. In later years, this resembling disappeared and was replaced by other features. In 1999 many of the crop circles looked three-dimensional.

It has a
Sierpinsky Gasket, which
is a well-known fractal!
Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set named after the Polish mathematician Wacław Sierpiński who described it in 1915. However, similar patterns appear already in the 13th-century Cosmati mosaics in the cathedral of Anagni, Italy.[1] and other places, such as in the nave of the roman Basilica of Santa Maria in Cosmedin.

Sierpinski triangle or the Sierpinski carpet to equivalent repetitive tiling arrangements, it is evident that similar structures can be built into any rep-tile arrangements.

Image

This is Pascal's triangle
Image

Geometric floor mosaic (Sierpinski triangles), nave of Santa Maria in Cosmedin, Forum Boarium, Rome.but created in the 13th century
http://www.flickr.com/photos/mymuk/6304896451

Respuesta  Mensaje 5 de 30 en el tema 
De: BARILOCHENSE6999 Enviado: 04/08/2012 00:56
 
WHOAH!!! TCJ WHOAH!!! you just blew my MIND!

Awesome Video and did you notice a crop circle was of his fractal :shock:

Did you notice how he showed the lung and the cauliflower ...had the branch and branches

Look at Magdalene she is kneeling in front of a tree and its branches

Image
from Ben's site
No matter what Ben's pictures were wonderful



Some more Fractal fun TCJ
http://youtu.be/G_GBwuYuOOs
_________________
Everything is Connected and there are no
coincidences

Respuesta  Mensaje 6 de 30 en el tema 
De: BARILOCHENSE6999 Enviado: 04/08/2012 01:21
Davinho
Thanks so much You really know that area
I noticed on the Koch Snowflake
there is a variant related to the Fleury cross
Image

This is a mathematical variant from the Koch Snowflake ...it is infinite
and get this I think it reflects what is on Sinclairs tomb at Roslyn...we are looking at a variant of a Koch Snowflake
_________________
Everything is Connected and there are no
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Respuesta  Mensaje 7 de 30 en el tema 
De: BARILOCHENSE6999 Enviado: 22/02/2013 20:24

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De: BARILOCHENSE6999 Enviado: 26/02/2013 02:39

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De: BARILOCHENSE6999 Enviado: 12/03/2013 20:03

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De: BARILOCHENSE6999 Enviado: 13/03/2013 02:13

Respuesta  Mensaje 11 de 30 en el tema 
De: BARILOCHENSE6999 Enviado: 13/03/2013 03:51
Btw: It is Also called Chiral Symmetry like your right / left Hand...You can also add the fact that the Ankh Set up is the same as



Quote:
Quote:
The North Pole's field will always be a little bigger/ expanded than the South Pole




Quote:
a fractal construct has an 'efficient function', it has a fractal ergonomy to them, they function on multiple levels and in multiple dimensions:

Respuesta  Mensaje 12 de 30 en el tema 
De: BARILOCHENSE6999 Enviado: 18/10/2020 11:23


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