The
Trans-Atlantic Foot-Square |
| Quick recapitulation:
The Cone & Square idea controls the Athena
engraving from La Marche,
France, as well as the figure of a monkey from Nasca, Peru. We
have just
seen a clean solution to the diagram above,
showing the Main Square, and
the so called Foot Square. The Main Square in the diagram above is
shown
as a diamond, top corner planted on the frame above the monkey's
left ear.
The rectangle framing the whole figure
looks planned, because its axes divide
the figure in good order . The monkey's spine becomes a tunnel for
the vertical
axis, while the horizontal axis follows the base of the arms (see abstart.gif).
These axes run East-West and North-South, as well.
This experiment led to more frames, one of them being the
rectangular box
about the monkey's feet, which we expand into a square.
The Main Square and the Foot square are both seen in the diagram below.
The
Foot Square's circumcircle duplicates the Main Square's
'golden Phi-ratio
circle. Although we derived each circle independently of the
other, the golden circle centered in the lower corner of the square is
a tangent to the Foot-Square.
In this classic construction, the orange circle circumscribes the Foot
Square,
and the blue circle is the Main Square's golden circle. We can
clearly see how the Foot Square was added to the classic
position.
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Does this culminative idea of the monkey's geometry
also become evident
in the Athena engraving? Does the transatlantic connection continue?
Will
the same Foot Square have anything special to do with Athena's feet? If
so,
then the hypothesis was not wild, at all. We really are on to
something big.
*
The Athena engraving already has its Main Square, so we can fit it with
the diagram from above (square over square. Check the result below. |
This time, instead of fitting over both
feet, the Foot Square and circle fit over Athena's right foot. Note the
fit between Athena's foot and the square
inscribed within the Foot Square.
The experiment becomes even more productive, when we find out that the
Foot Square also fits Athena's head, and does it perfectly
(diag. above).
In the magnified view below, the left foot is just
as wide as the Foot Square. So, in the Athena engraving, the Foot
Square also plays an important role.
http://www.oocities.org/jirimruzek/namon4.htm
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It is unbelievable that the Foot Square should fit
Athena's head with precision even under magnification.
But, there it is in the diagram below.
Extending the Foot Square into a rectangle fitting the head from
the chin to the top of the head produces interesting PHI
proportions.
The top of the head is to the
face .
1 / 1.618 = 0.618
as the face is to the entire head
1.618 / 2.618 = 0.618
The head's height is Phi squared (
2.618..)
The face to the top of the
head:
1.618..
/1 = 1.618..
Head to the face:
2.618..
/ 1.618... = 1.618..
The 1/4 level of the square is
marked by engraved points (eye-level, top of the nose-bridge).
0.5 + 0.6180339 =
1.1180339...
This is the important value of the square root
of 5 divided by 2.
*
The Ancients display a variety of Golden Section constructions,
and the Nasca and La Marche geometries complement each
other. Chances of the Ancients not knowing the basic Golden
Section (Phi-ratio's construction) are effectively nil. This modicum of
certainty once again proves the prehistoric
existence of the so called Lost Science.
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