Earth and Venus Pentagram.. = "HeLL"

Pythagoreans

The Pythagoreans called the pentagram υγεία Hygeia ("health"; also the Greek goddess of health, Hygeia), and saw in the pentagram a mathematical perfection (see Geometry section below).

The five vertices were also used by the medieval neo-pythagoreans (whom one could argue were not pythagoreans at all) to represent the five classical elements:

* ὕδωρ, hydor, water
* γαῖα, gaia earth
* εἱλή, heile, heat (fire)
* ἰδέα, idea or ἱερόν, Hieron "a divine thing"
* ἀήρ, aer, air

The vertices were labeled in the letters of υ-γ-ε-ι-α. The ordering (clockwise or counter-clockwise) and starting vertex varied.

The ancient Pythagorean pentagram was drawn with two points up and represented the doctrine of Pentemychos. Pentemychos means "five recesses" or "five chambers", also known as the pentagonas — the five-angle, and was the title of a work written by Pythagoras's teacher and friend Pherecydes of Syros.[9] It was also the "place" where the first pre-cosmic offspring had to be put in order for the ordered cosmos to appear. The pentemychos is in Tartaros, also known as "The Gates of Hell".

In very early Greek thought, Tartaros (or Chaos, according to Hesiod) was the primordial Darkness from which the cosmos is born. While it was locked away after the emergence and ordering of the cosmos, it still continued to have an influence. In fact, it was known as "the subduer of both gods and men" (Homer), and it was from this that the world got its "psyche" (soul) and its "daimon". The Boundless Darkness held influence through Mychos or Krater. Apart from being the gateway from "there" to "here" it was also a way in the opposite direction, from "here" to "there", as is evident in the many tales about how Greek heroes, philosophers and mystics descended through Krater to Tartaros/Hades (the distinction between the two was very optional back then) in quest for Wisdom. The Underworld as the source of wisdom was the rule.

Tartaros was also later seen as the "chthonic realm" where all the enemies of the cosmic order were locked away, also called the "prison-house" of Zeus. It was said to lie outside of the aither over which Zeus had lordship; what we today would call space, back then called "Zeus' defense-wall," yet it was also beneath the earth. Plato (in Cratylus) said that the aither had a penetrating power that permeates the whole world, and he found it both inside and outside of our bodies. The pentemychos is outside, or in-side, of the aither.

In the play Medea by Euripides, the sorceress Medea calls upon Hecate with the words, "By that dread queen whom I revere before all others and have chosen to share my task, by Hecate who dwells within my inmost chamber, not one of them shall wound my heart and rue it not." Note that she speaks of the Heart. The inmost chamber is the Mychos. Normally, Hecate and Persephone are portrayed solely as the rulers of the Underworld. In Medea, however, Hecate is called the Lady of Tartaros, Phulada (Guardian), Propulaia (Before the Gates), Kleidophoros (Key-bearer) and Kleidoukhos (Key-holder, Priestess). This Underworld of the Greeks and Pythagoreans is also the "inmost chamber" and the Core of Inner Being.

[link to www.hyperflight.com]
-----------------------------------------------------------

Mayan astronomers first observed, measured, and applied the periodic relationship between the planet Venus and Earth. It turns out these two bodies have interlocked orbits in a ratio and that means that the planetary orbits of Venus and Earth are not independent of each other.

The ratio is very close to 8:5 -- for every eight Venus orbits (cycles), our Earth completes five orbits (years). While this is not a source of orbit problems, the orbit interlock allows Venus and Earth to become effectively a single planet in one orbit. The resulting merged planet is moving close to the midpoint between Venus and Earth because both of these planets are of about the same size (have about the same mass). From the Sun's point of view the positions of both Venus and Earth periodically occupy the same two spots on the solar plane and the merged planet is then also in a spot it occupied before. Every time Venus catches up with Earth the merged planet reaches its aphelion, the farthest distance from the center of the Sun. For such merged planet the time between aphelions happens every 1.6 earth years. The interlock of the two orbits merges both planets yielding one highly elliptical orbit that rotates and repeats every eight years -- that is, the merged planet passes the same starting point every eight years while its path is curved. During these eight years the merged planet reaches aphelion five times, tracing a star with five points and taking 1.6 years between points.

Historically, the aphelion is defined as the farthest distance from the Sun but you may have noticed that the aphelion for the merged Venus-Earth planet is now defined as the farthest distance from the center of the Sun. The merged planet's orbit may possibly dip into the Sun.

You can imagine the crisis in the horoscope circles as Galileo's and Newton telescopes begin to uncover new planets. There were seven planetary influences and seven is a sacred number. Horoscope casting is a serious business for some, so what is to be done? Presently, several mainstream science publications want to make Pluto a planetary outcast but nobody is arguing whether Venus or Earth is a planet or not. We could never think of Earth as not being a bona fide planet -- yet the Sun has made the orbital decision for us. Sun sees Venus and Earth as one body that orbits in a five pointed star topology with a tight curlicue approaching the Sun between points. Perhaps there is a way to resolve all of this because Pluto's orbit is interlocked with Neptune as well. So now, planetary pairs merge computationally and each pair forms a unique orbit. While it may be difficult to prove that seven is the maximum number of independent orbits in our solar system, what this also means is that there could be more planets than there are independent orbits.


Planet is a planet because it contributes to the solar system's angular momentum through its own orbital (angular) velocity. Angular mo is the rotation energy (of a spinning bullet, say) that contributes to the solar system's stability. Because the angular momentum is proportional to the radius squared, the angular mo of Pluto, for example, exceeds those of the terrestrial planets, Earth included. For a treatment of the angular momentum on both the cosmic and atomic (electron) scales, visit ConceptThree.

While on this page you might be tracing a pentacle in the air, if you want to construct and draw the perfect five pointed stars of the pentagon, pentacle, and pentagram -- and learn of other stars from the perfect star family -- make a visit to the pentagon page where you will do it with the queen of math: geometry. Also construct the three and five sided stars directly and exactly. There are direct and indirect families of stars and some stars cannot be exact Geometric pentagram, pentacle, and pentagon inside a circle of radius 2

New book you will thoroughly enjoy
QUANTUM PYTHAGOREANS
To Publisher... More ..

Why not give each planet its own independent orbit? There may come a point where this is not possible. Any two-body system is tractable but a three-body system can become chaotic and intractable. An independent orbit calls for planetary separation that is great enough for each planet to be treated as a two-body sun-planet system. As big as Sun's mass is, there are but a limited number of orbits available. Orbit interlock allows merging of Venus and Earth such that the two bodies become one and the resulting body is always tractable with respect to Sun. A potential Sun-Venus-Earth chaotic trio becomes a computable duo. Giving Venus and Earth their own independent orbit could technically result in two two-body systems but would likely require greater planetary separation and greater distance from the Sun. Also, the orbital interlock of Venus-Earth, say, could results in a smaller disturbance or wobble onto the Sun: Through the orbit interlock both bodies can be physically closer to the Sun and to each other.

Now, take the Venus and Earth planets as orbiting in the clockwise direction and start both planets at the top. The merged planet makes its first aphelion also at the top, which is the first aphelion (point). As planets orbit, the merged planet skips every two points of a five pointed star because the the next time Venus and Earth are closest together is at the fourth point. The trace of aphelions moves from first (top) to fourth to second to fifth to third and back to the first point. The picture of the merged planet trace is at the end of this section. [You may find a bit more in the picture than just a trace -- give it a slight tilt.]

Being in the solar plane the star’s orientation does not have an appreciable social aspect, at least as far as the solar perspective is concerned. The five pointed star of the pentagram is intimately related to Venus and Earth.
-----------------------------------------------------------
Levi identified three fundamental principles of magic:[1]

1. That the material universe is only a small part of total reality, which includes many other planes and modes of consciousness. Full knowledge and full power in the universe are only attainable through awareness of these other aspects of reality. One of the most important of these levels or aspects of reality is the "astral light", a cosmic fluid which may be molded by will into physical forms.
2. That human willpower is a real force, capable of achieving absolutely anything, from the mundane to the miraculous.
3. That the human being is a microcosm, a miniature of the macrocosmic universe, and the two are fundamentally linked. Causes set in motion on one level may equally have effects on another.
------------------------------------------------------------
​

Other organizations
Order of the Eastern Star emblem

Order of the Eastern Star

The Order of the Eastern Star, a fraternal organization associated with Freemasonry, has employed a point-down pentagram as its symbol, with the five isosceles triangles of the points colored red, blue, yellow, white and green. This is an older form of the order's emblem and it is now more commonly depicted with the central pentagon rotated 36° so that it is no longer strictly a pentagram.

In literature

In the medieval romance of Sir Gawain and the Green Knight, the pentagram on Gawain's shield is given a Christian interpretation (see above).

In Goethe's Faust, the pentagram prevents Mephistopheles from leaving a room.

Mephistopheles:

I must confess, my stepping o'er
Thy threshold a slight hindrance doth impede;
The wizard-foot doth me retain.

Faust:

The pentagram thy peace doth mar?
To me, thou son of hell, explain,
How earnest thou in, if this thine exit bar?
Could such a spirit aught ensnare?

In H. P. Lovecraft's Cthulhu Mythos stories, the version of The Elder Sign devised by August Derleth is a warped pentagram with a flaming eye or pillar of flame in the center. It was first described in Derleth's novel, The Lurker at the Threshold. (This was, however, different from the symbol that Lovecraft himself had envisaged.)

In Dan Brown's novel The Da Vinci Code, the pentagram represents Venus, based on the successive inferior conjunctions of Venus against the Zodiac.

In Japanese culture, the pentagram (五芒星 gobōsei) is a symbol of magical power, associated with the onmyoji Abe no Seimei; it is a diagram of the "overcoming cycle" of the five Chinese elements. As a predominantly non-Christian country, with a different set of associations attached to the symbol, there is no social stigma associated with it.

--------------------------------------------------------

The pentagram is the simplest regular star polygon. The pentagram contains ten points (the five points of the star, and the five vertices of the inner pentagon) and fifteen line segments. It is represented by the Schläfli symbol {5/2}. Like a regular pentagon, and a regular pentagon with a pentagram constructed inside it, the regular pentagram has as its symmetry group the dihedral group of order 10.

Construction

The pentagram can be constructed by connecting alternate vertices of a pentagon; see details of the construction. It can also be constructed as a stellation of a pentagon, by extending the edges of a pentagon until the lines intersect.

MORE HERE
[link to www.answers.com]
AND HERE
[link to www.hyperflight.com]