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Nasca Monkey Gallery

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within the Cone's Key (Top) circle. Remarkably, it holds a 36 degree angle

with the X-axis. Usually, such an angle implies a unique five-pointed star,

which fits either the art, or the geometry given by the same art, if not both.

Is this position set-up for a unique meaningful pentagram, as well?

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It is the Square's x-axis, which forms a 36-degree angle with the line k.

Also, it is visually just as far from the point of kx to the point K1, as it is

to the Square's nearest corner. So we pick this nearest point of the Square

to size our first experimental star. The fact is interesting and eye pleasing.

Next, we wouldn't want to miss the order shown in the diagram below.

When one half of the Square's diagonal is counted as 1, when extended

to the Phi-point, this distance becomes 1.6180339887.. i.e., Phi. .

A circle of the radius 0.6180339887.. will map exactly ten times

onto the Square's circumcircle, as this is the method of constructing

both the five and ten-pointed stars.

The Phi-point also performs Golden Section on the length kx -
3/4 point

of the Square's diagonal.

Similarly, a star drawn from the symmetrical point K2 to the far corner

of the Square proves to be part of the same system. Both the Square's

center and the Phi-point serve to divide the distance from K2 to Q
in the

Golden Ratio.. We are looking at a diagram of a classic geometrical
position.

The idea of the Cone's Key-circle is a nice addition
to our collection

of variations on the Golden Section. The diagram
looks precise even

when blown-up as above, though in reality it
is off by a couple of

thousandths of our unit. I suppose, what matters
is we that we were

shown a simulation of another perfect design
having to do with the

Square's PHI-constructions.

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