Ternary Distribution animation

[MythMath]

Click for a slideshow of images demonstrating balanced
distribution of 3 elemental sets within a triangle:

http://pic.photobucket.com/album/slideshow/wrapper_viewshow.gif (http://s133.photobucket.com/albums/q48/MythMath/?action=view&current=84c29f6c.pbw)

http://i133.photobucket.com/albums/q48/MythMath/TreebottomswithbigTetracti.jpg

For a larger view try:
http://s133.photobucket.com/pbwidget.swf?pbwurl=http://w133.photobucket.com/albums/q48/MythMath/84c29f6c.pbw

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This triangulation pattern was originally uncovered
in the design of the tri-tangle gameboard,
which is formed by a trio of Trees on the 418 Grid:

http://i133.photobucket.com/albums/q48/MythMath/TreebottomswithTriTangle.jpg

[MythMath]

And well, you just can't quit there, so:

[MythMath]

{Please excuse the previous multiple posts,
things seem a tad buggy since the server change...}

Distribution of the Ternary Trigrams
on the Great Hex:

The placement process begins with dividing
the 27 trigrams into 3 groups of 9:

http://i133.photobucket.com/albums/q48/MythMath/27NumberedTernaryTrigrams.jpg
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Next I applied the Lo Shu numbers to each of the
3 faces of the Hemicube (Great Hex in disguise).

To which I then applied the distribution pattern
demonstrated in the slideshow from the first post:

http://i133.photobucket.com/albums/q48/MythMath/27LoShuCubed.jpg

[MythMath]

By doing a little crossreferencing,
I mapped out the proper assignments
for the 3 sets of ordinal numbers:

http://i133.photobucket.com/albums/q48/MythMath/27Ordinalplacement.jpg
Finally, I substituted the number sets
with the actual trigrams:

http://i133.photobucket.com/albums/q48/MythMath/27TrigramsonHemiCubecopy.jpg

[MythMath]

Simply obeying my muse... :rolleyes:


TriChromatic Sigil for the 27 Trigrams

http://i133.photobucket.com/albums/q48/MythMath/Sigilforthe27Trigrams.jpg

[Catalytic Subterfuge]

Nice!

[phronesis]

that is simply gorgeous,,,,,especially the quasi rubik's cube figure

[MythMath]

Thanks...

Yeah, that new tri-unicursal hex glyph
is certainly dynamic (tri-namic?)... :yes:

[m1thr0s]

reminds me of celtic knotwork...even the finished looks like a number of broaches I 've seen...

very magnetic stuff...

m1

[MythMath]

Oooo Beware... :p
http://i133.photobucket.com/albums/q48/MythMath/IlluminatiTrianglecopy.jpg

[content persephone]

The last one is just lovely - and they're all neat.
Thanks, MM!

[MythMath]

27 Ternary Trigrams
on a Nine-Ring Magic Sphere
http://i133.photobucket.com/albums/q48/MythMath/27trigramsphereblue.jpg
This is pretty cool, I found it in a basic numerical form in
Clifford Pickover's The Zen of Magic Squares, Circles, and Stars (http://sprott.physics.wisc.edu/pickover/zenad.html)
and gave it the ol' abrahadabra/trigrammaton makeover...

The Blue Sphere above shows
Trigrams 1 - 26 arranged on the 9 Rings,
with Trigram 27 placed in the center of the Sphere...

The Red Sphere below substitutes the
ordinal placement value for each Trigram...

Each Ring has eight numbers, and their magic sum is 108...

And each antipodal pair (http://en.wikipedia.org/wiki/Antipodal_point) of numbers on either side
of an imaginary diameter line has the magic sum of 27...

Note the intact Lo Shu diagram (points 1 - 9)...!!!
http://i133.photobucket.com/albums/q48/MythMath/27trigramspherered.jpg

White points = Yang elements

Grey points = Jen elements

Black points = Yin elements

[MythMath]

I just noticed how similar this image (from post #4 of this thread):

http://s133.photobucket.com/albums/q48/MythMath/th_27TrigramsonHemiCubecopy.jpg

is to the yantra image on the cover of the Pickover book:

http://sprott.physics.wisc.edu/PICKOVER/magic_squareslit.jpg


Nearly identical really...

:p

[m1thr0s]

Note the intact Lo Shu diagram (points 1 - 9)...!!!ponderous...very ponderous indeed...

m1