Tuesday, November 13, 2012

The Washington Monument, 666, Fibonacci and the Precession

The Washington Monument, 666, Fibonacci and the Precession

Today, November 13 is the last Solar Eclipse of Baktun 12 of the Maya Calendar.
The Maya Calendar will rollover to 13 Baktun on 12/21/12.

Just in time for 2013.
(a number composed of a 20 and 13)

The number 20 also plays a important roll in the Maya Calendar so the year 2013 is an interesting one!

Mayan Cycle : Composed of / Total Days / Years (approx.)

kin: 1 Day
Uinal: 20 kin / 20 days
tun: 18 uinal / 360 days / 0.986 years
katun: 20 tun / 7200 days / 19.713 years
baktun: 20 katun / 144,000 days / 394.3 years
pictun: 20 baktun / 2,880,000 days / 7,885 years

We can see the cycles of "20" in nearly all of the Calendar's structure.

The Mayans believed at at the conclusion of each pictun cycle (approx. 7,885 years) the Universe is destroyed and re-created. Those with apocalyptic inclinations of Baktun 13 will be relieved to observe that the present cycle will not end until Friday, October 13, 4772 in the Gregorian calendar.

Perhaps a part of the reason that a Friday the 13th is considered unlucky in the psyche of Western culture!

So following in the wake of my blog post on November 11 (Day# 314 of the Gregorian calenar, PI Day) I'm going to explore another famous Monument in the United States of America, The Egyptian Obelisk, The Washington Monument.

The Washington Monument

In this article we're going to explore the interesting mathmatical properties of the monument and hopefully point the reader to their origins.

The Wikipedia page for the Washington Monument tells us:

The monument was damaged during the Virginia earthquake of August 23, 2011 (8/23/11)
The National Park Service estimates the monument will be closed until 2014

Location: Washington D.C.
Coordinates 38°53′22.08377″N 77°2′6.86378″W
Area: 106.01 acres (42.90 ha)

View Larger Map

From my article of 11/9/12:

The Washington monument is in a Vesica Piscis and located on the square (90 degrees) between the Pentagram and the Compasses.

Exterior structure
- Total height of monument: 555.5 ft
- Width at base of monument: 55.5 ft

- Marble capstone weight: 3,300 pounds (1.5 t)
- Capstone cuneiform keystone measures 5.16 feet
- Each side of the capstone base: 3 feet

- Depth: 36 ft
- Weight: 36,912 long tons (41,341 short tons; 37,504 tonnes) Includes earth and gneiss rubble above the concrete foundation that is within its 126.5-foot (38.6 m) square perimeter.
- Area: 16,002 square feet

The data tells us that the Washington Monument is 555.5 feet tall and 55.5 feet wide at its base.

555.5 feet x 12 inches/ft = 6666 inches tall

55.5 feet x 12 inches/ft = 666 inches wide

Here we find our same Pentagonal and Hexagonal math that we observed in the previous article of 11/9/12!

Surely those numbers weren't randomly chosen! But what could they mean??

Well I'm sure some readers are going to start freaking-out and thinking somehow this is the work of the devil since 666 is in The Bible in REVELATION 13.
Revelation 13:18
King James Version (KJV)
18 Here is wisdom. Let him that hath understanding count the number of the beast: for it is the number of a man; and his number is Six hundred threescore and six (666).

I however will show something even more wonderful. How the numbers and ratios apply to the to very precession of Earth itself!

But first...
What is a "Precession"?!?!
In astronomy, precession refers to any of several gravity-induced, slow and continuous changes in an astronomical body's rotational axis or orbital path. Precession of the equinoxes, perihelion precession, and changes in the tilt of the Earth's axis to its orbit, and the eccentricity of its orbit over tens of thousands of years.

Axial precession is the movement of the rotational axis of an astronomical body, whereby the axis slowly traces out a cone. In the case of Earth, this type of precession is also known as the precession of the equinoxes, lunisolar precession, or precession of the equator. Earth goes through one such complete precessional cycle in a period of approximately 26,000 years or 1° every 72 years, during which the positions of stars will slowly change in both equatorial coordinates and ecliptic longitude. Over this cycle, Earth's north axial pole moves from where it is now, within 1° of Polaris, in a circle around the ecliptic pole, with an angular radius of about 23.5 degrees.

The Precessional wobble is very slow and results in a complete circle approximately every 26,000 years. There is some scientific dispute, due to the enormous timeframe involved, as to the exact length of a precessional wobble but I hold that the period is quite likely to be 25,920 years!

Now let's explore the MATH behind it!

Fibonacci sequence:
Leonardo Fibonacci lived in the thirteenth century. His work on the relationship of mathematics and nature has been applied in physics, astronomy and engineering. Many famous market analysts believe that Fibonacci principles apply equally as well to markets and market psychology.

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987 ...

The golden number is closely connected with the Fibonacci series and has a value of (sqrt(5)-1)/2 = 0.618 yielding the value we now as PHI φ or 1.618 and the ratio golden ratio of 1:1.618

The reason that the Greeks called it the "golden ratio" is that when they used it in the construction of their temples it provided the most pleasing shape. They considered this ratio to be divine.

For example, when you lay out a rectangle such that the sides are 0.618 as high as the width, this seems to look "nice" or visually pleasing when making landscape paintings.

Human heads seem to have this ratio too, the face is approximately 0.618 as wide as it is high.

If you take the Fibonacci ratio of two consecutive terms, they approach the number

1/2 = 0.5
2/3 = 0.6666
3/5 = 0.6
5/8 = 0.625
8/13 = 0.61538
13/21 = 0.61905
21/34 = 0.61765
34/55 = 0.61818
55/89 = 0.61798
89/144 = 0.618

I encourage all readers to explore more about Fibonacci numbers, the golden ratio, the golden mean, and golden section on their own!

The Pentacle
Of all symmetric geometric shapes, none represent so concisely the principles of PHI than the pentacle or five pointed star within a circle. This is probably so because the ratio of PHI is first derived from the square root of five. Using a compass, draw a circle with five points spaced at exactly 72 degree apart with the first point at the top. Connect the points at 144 degree intervals with straight lines. Notice that both numbers 5 and 144 occur in the first twelve terms of the Fibonacci series.

Jupiter and Saturn
For every complete orbit of Jupiter, Saturn will travel about 144 degree along its orbit. So after 60 years, Jupiter will have made 5 complete orbits while Saturn will have marked out five points, each 144 degrees apart. While doing so Saturn will have made two complete orbits.

Here we see again the numbers 5 and 144 of the Fibonacci series. But whereas the Earth-Venus cycles contain mostly Fibonacci values, the Jupiter-Saturn relationship contains more. It has the patterns of the Fibonacci and the sexagesimal. As the pentacle was shown to have a relationship with PHI, the sexagesimal (hexagram) has a relationship to PI, that other magical number. And, as will be shown, both PHI and PI have a relationship to each other.

The radius of a circle measured in a straight line divides a circle into six parts. Hence the hexagram. The 60 year cycle of Jupiter and Saturn gives rise to the usage of the sexagesimal system and its derivatives.


6 x 60 arc minutes or degrees = 360 degrees.

We note however that planet Earth has the odd feature of its orbital circle being 365 days along the 360 degree orbital path around the Sun.

If we take the number of days in a year and divide by PI
365 / 3.14 = 116

We find 116, which we can intrepret as 11/6 or November 6th.
Curiously this was the Presidential Election Day in the USA in 2012.

We can also take it as 1/16 or January 16th.
Lastly as day # 116 which is April 26th in non-leap years.

And of course, to note, 11 x 6 = 66

Day 66 is March 7 in non-leap years.

If we take the number of days in a year and multiply by PHI

365 x .618 = 225.57

Day 225 is August 13. (8/13 in non-leap years and 8/12 in leap years like 2012)

May 20 (5/20) is day 140 from which 225 remain in non-leap years!

But let's look at that the interesting math of that proposed precessional number of 25,920...

25,920 / 288 = 90

25,920 / 216 = 120

25,920 / 144 = 180

25,920 / 72 = 360

25,920 / 60 = 432

25,920 / 40 = 648

25,920 / 30 = 864

25,920 / 20 = 1296

25,920 / 5 = 5184

25,920 / 6 = 4320

25,920 / 4 = 6480

25,920 / 3 = 8640

25,920 / 2 = 12960

Let's focus on:

25,920 / 288 = 90

25,920 / 216 = 120

25,920 / 144 = 180

25,920 / 72 = 360

25,920 / 2 = 12960

12960 / 360 = 36

12960 / 60 = 216

12960 / 2 = 1296

When we explore our sexagesimal products we find:

6x6 = 36

6x6x6 = 216

6x6x6x6 = 1296

Interesting that all of the 3 numbers appear in The Washington Monument!

36 in the foundation.
666 in the number of inches in the width (via 55.5 x 12) and
6666 in the number of inches in the height (via 555.5 x 12)

It's a good time to note that the Washington Monument is created in a 10.01:1 ratio of height to width.

Which becomes very interesting we we take

6 x 6 x 6 x 6 x 10 = 12960

12960 is HALF of the precessional number of 25,920.

25,920 / 2 = 12960

We also find that if we use that important "20" of the cycles of the Mayan Calendar we have

25,920 / 20 = 1296


6 x 6 x 6 x 6 = 1296

Since I like to compare numbers to calendar I recognize that the 36th day (6 x 6) of the Gregorian year is February 5th. (2/5)

Which we note the digits of 2/5 are found also in the Fibonacci numbers and PHI calculation:
((sqrt(5))-1)/2 = 0.618

2x5 = 10

and the 2 and 5 pointing us to the 25,000 of 25,920.
and the 5200 tuns of the Mayan Calendar mentioned in my previous article on November 9, 2012

We also note that 4 X 13 = 52
From the reverse of the digits of PI (3.14)

And there's 52 weeks in a gregorian calendar year.

we also note that in the symbol of 25,920 we find


we can assemble this many ways but let's focus on

2 x 5 x 9 x 2

Since Zero negates it all in multiplication we leave it out...

2 x 5 x 9 x 2 = 180

180 degrees is HALF of a circle of 360 degrees
Taking HALF of the precessional number of 25,920 we find 12,960

which is also

(6 x 6 x 6 x 6) x (2 x 5) = 12,960

WOW! All the important numbers of the Washington Monument leading us to HALF the precessional number of 25,920!

I'd also like to compare the current 44th USA President, re-elected on 11/6/12.

BARACK = 36 in simple gematria, where a=1,b=2,c3...z=26, and 216 in old English gematria (which is found by multiplying simple gematria by 6)

36 = 6 x 6
216 = 6 x 6 x 6

BARACK's birthday is given as August 4th, 1961
August 4th, 1961 is 8/4/61 and was day 216 of the gregorian calendar!

One of the biggest events in the BARACK presidency so-far was the BP oil spill.


BP = 2,16

We also note that the Washington Monument was damaged in The Virginia Earthqauke of 2011 on August 23rd.

8/23 is day 235 of the gregorian calendar that year!

23.5 degrees is the "tilt" of the planet Earth!

I think I will continue this exploration later as there's just so much more to write about it all!

Feel free, as always, to leave your comments in the comments section below!

Be sure to check out the previous article in this series...

Mayan End Game

and the highly recommended and popular...

6 Days of Creation

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