Re: Fractal snowflake, David's Star and Holy Trinity

From: Joseph Fagan (noemailplease_at_nowhere.ru)
Date: 02/18/05 

Date: Fri, 18 Feb 2005 19:27:34 +0000 (UTC)

Search "Von Koch Snowflake".
Do you have any geometrical construction to verify Santa's existence?
Does the "Devil's Staircase" function concern you?

<ilya_shambat2004@yahoo.com> wrote in message
news:1108752079.527577.223480@o13g2000cwo.googlegroups.com...
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> /_ / \ _\
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> /________________\
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>
> One day I thought suddenly of the fractal snowflake. Prior to that
> I had been reading the Bible, and I did not know why I had thought of
> the fractal snowflake until I drew it.
>
> The fractal snowflake is created in the following manner. Draw an
> equilateral triangle. Separate each of its sides into three equal
> components, and in the middle of each create an equilateral triangle
> whose sides are equal to that middle component. Keep repeating the
> process with every component triangle. Here, due to formatting
> restrictions, I have shown the fractal snowflake as it exists at the
> third level. The constant lines represent the sides of each triangle;
> the dashed lines (ones with spaces between the lines) serve another
> purpose, which will be revealed later.
>
> The concept of fractals has been used in the holographic theory of the
> Universe: That the same pattern exists and replicates at all levels of
> structure, and that in any part of the universe can be observed its
> laws that therefore contain the key to the whole.
>
> Besides that, however, I discovered something more interesting: That
> if I drew through the snowflake lines that are an extension of each
> side of each component triangle, it connected to a side of another
> triangle on the other side of the snowflake. This led me to conclude
> that there is another aspect to the interconnectedness: That everything
> was balanced against its opposite and could trace its reflection to
> another side. It is also worth mentioning that each connecting line
> connected the triangle to another triangle at the same level of
> structure, with the second set of triangles (second level) connecting
> to other members of the second level triangles, and with the third
> set of triangles containing connections to members of the third set.
> (In this drawing, the lines between second-level triangles are shown
> as dashed lines; the lines between third-level triangles are omitted
> for formatting reasons, with the exception of the top set of triangles
> with the triangles on opposite sides to whose sides they connect -
> likewise shown as dashed lines).
>
> Similarly (not shown here), a line drawn from the corner of each
> component triangle bissecting the triangle came out on the other side
> of the snowflake bissecting another component triangle, likewise at
> the same level of structure.
>
> Now for the really exciting stuff. The imaginary lines (shown in
> dashes) drawn as extensions of the sides of the component triangles,
> both on second level and in the case of the top triangle, all created
> David's stars. This likewise can be observed at every level of
> structure by tracing the intersection of lines composing the triangles
> and imaginary lines drawn through the snowflake connecting the sides of
> the triangles to their opposites. The Star of David has of course been
> used as a metaphor for God's workings - and here in fractal snowflake
> we see God manifest at every level, from the most overarching to the
> most detailed.
>
> In C. S. Lewis's _Screwtape_Letters_, divine love is seen to be the
> all-pervading force that connects all to all and all to God. The Holy
> Trinity is seen to be the glue holding the world together. Here, we
> see the Holy Trinity manifest at each level of manifestation, from the
> top to the bottom, and to live and top and manifest at all levels.
>
> My high school mathematics teacher, who is a Christian, says that there
> is no conflict between mathematics and Christianity. And here we have a
> mathematical entity that appears to model God's working - while also
> incorporating the holistic theory that has motivated New Age beliefs -
> and integrate it into Christian theological thought.
>
> This, indeed, creates a unison between mathematics, holistic theory
> and Christianity. And reconciles the pieces, like component sets of
> triangles, into the integrated whole.
>
> Ilya Shambat.
>

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