Friday, 13 June 2014

Quantum of Solstice

By Robert John Langdon

In my second book of the trilogy 'Prehistoric Britain' to be published in October 2014 - 'Dawn of the Lost Civilisation', we look at the builders of Stonehenge and other 'Megalithic' sites and identify not only who these people were but more importantly where they came from and where they finally went?

To understand this 'Lost Civilisation' we also look at their skills and accomplishments, this includes their mathematical skills, which to date have been credited to the ancient Greeks.  By undertaking detailed closer analysis of monuments such as Stonehenge and the mathematics used to design such monuments, we can see that the constructions of these ten thousand-year-old sites were, in fact, based on sound trigonometrical theory. This numeral and spatial ability allowed them to navigate the four corners of the known world on their ships some ten thousand years before Columbus was born.

So how was Stonehenge planned and what can we see from the 'blue-print' what they knew about mathematics?
Stonehenge Diagram 1
The Stonehenge Blueprint

Firstly, Stonehenge was built in two very separate phases - current archaeologists are confused by the monument and dating of the structure so if you read or browse the internet you will see the 'traditionalist' quote three to five phases - these phases occurred AFTER the original monument was abandoned and thousands of years later, the ritualistic Celts occupied the monument and used it to worship the Sun and the summer Solstice as we see reenacted today during the summer solstice.

The First Phase took place at 8500 BCE when our ancestors built the original ditch made up of individual pits that were cut below the ancient groundwater table level to create a moat.  This moat was used with the Bluestones to bathe away infections from cuts and bites which, if left untreated, would have turned into gangrene and lethal fevers.  For Bluestones (when wet) releases chemicals, including the most potential natural antiseptic - rock salt.

Stonehenge Phase I drawing
Phase I with the Aubrey Holes that the Bluestones occupied

The most amazing aspect is the accuracy of the diameter of this moat, which is exactly 360 ft (109.73m). This length is no accident or coincidence it is of the reason that our angular and trigonometrical system revolves around 360!

We have 12 months a year and each have a lunar cycle that lasts (from New Moon to New moon ) 29.53 days.  We have shown in my last book 'The Stonehenge Enigma' that there was 56 Bluestones (2 x 28) and we can show that this was used as a very accurate (99.8%) moon and eclipse calendar, which could compensate for the 0.47 day difference between the moon cycle and a 30 day standard cycle.

It is therefore, no surprise that the most ancient of calendars are 12 x 30 = 360 days in length.

In history, we know that in the eighth century B.C.E., civilizations all over the world either discarded or modified their old 360-day calendars. The 360-day calendars had been in use for the greater part of the past millenniums. In many places, month lengths immediately after that change were not fixed, but were based instead upon observation of the sky.

Priest-astronomers were assigned the duty of declaring when a new month began – it was usually said to have started at the first sighting of a new moon. Month length at that time was simply the number of days that passed from one new lunar crescent to the next.

During those years in Rome, for example, a Pontifex (priest) observed the sky and announced a new moon and therefore the new month to the king. For centuries afterward Romans referred to the first day of each new month as Kalends or Kalends from their word calare (to announce solemnly, to call out). The word calendar derived from this custom.

The ancient Babylonians in 4000 BCE used a calendar with alternating 29- and 30-day months. This system required the addition of an extra month three times every eight years, and as a further adjustment, the king would periodically order the insertion of an additional extra month into the calendar.

However, what is interesting is that monument becomes a 'time capsule' from our ancestors to show us that they understood the mysteries of mathematics.  For when a circle that has a diameter of 360 ft has a moated circumference (the area around the edge of the circle) of 1130 ft in length.  So if we divide the length around the edge 1130 by the diameter 360, we get a very interesting number 3.14 - why is this absorbing, because it's what we know as PI or 3.14159!!

So did the builders of Stonehenge leave us a message in stone?

Greek Symbol PI
Greek symbol for PI

No one knows who invented Pi, yet the Ancient Greeks used this unusual symbol to denote pi - does it remind you of some monument we have been discussing? Why would the Greeks use such a symbol to denote the relationship of a circle to its diameter?  Surely, you would use something round not a classic trilithon symbol as found at Stonehenge - unless of course, that's were it was first used!

Stonehenge Trilithon
Trilithon used as a symbol for PI
Now 360 is also a very interesting number when it comes to circles as there are 360 degrees in a circle.  This is a particular number for if you were to pick a standard number to determine the degrees in a circle would you not go for something much easier and obvious to remember and use like 100?

Yet such a number is not good for trigonometry as a standard right angle triangle with a 360 degree circle has 90 - 60- 30 which allows simple mental maths to be calculated, such as calculating the sides of a triangle. For if it was based on a 100 degree circle the triangle angles would be 25 - 16.66 - 8.33 and the ability to calculate angles in your head or as an approximation (no electronic calculators in the Stone Age) would be far more difficult.

So the logic to link the degrees (or days) in a circle or solar year is obvious and is clearly reflected in man's first stone construction at Stonehenge.  However, Pi is only the start of this amazing construction, and the work accredited to Pythagoras in the past must now be questioned.

Voyager Drawing
Man has always left obscure 'time capsules' to the future (or Aliens) would you have been able to understand the geometric patterns of Voyager 1?

Four thousand years after the original Phase I Circle was constructed with the 58 Aubrey Holes that held Bluestones from the Preseli mountains in Wales. These stones were used for map the 360-day lunar calendar; they decided to erect an additional central monument.  In the first book of the trilogy, I proved that this monument was a temple to the dead of Doggerland, who died in an earthquake and subsequent tsunami in about 4200 BCE as recorded within Plato's dialogues, as a relief map of Doggerland (Slaughter Stone) and the Altar Stone (both made from micra sandstone) directly point to the ancient island, was also added at the time of construction.

Phase II of this construction included a new entrance causeway surrounded by moats known today as 'The Avenue', which led to the Neolithic shoreline which lay in the valley at Stonehenge Bottom.  This 600m 'road' was used to, not only, transport people to the monument, but moreover, to move the larger Sarsen stones (weighing up to 16 tonnes) by boat to the new monument at Stonehenge from the Marlborough Downs near Avebury a distance of between 20 - 25 miles.

However, rather than just building any kind of road to the shoreline, they decided to build it on an alignment that marks the longest day - the summer Solstice.  This day was very important for our ancestors as it correct the 360-day  lunar calendar with the solar calendar which is five days longer (365 days which we use today).  So in the centre of The Avenue they placed two stones (which are now missing) which are an exact alignment to the sunrise when this monument we first constructed

This alignment gives us the 'best' date for the construction of Stonehenge (as carbon dating is not possible for stones or stone holes) and confirms the date of Doggerlands demise in 4200BCE.

The complex details of this calculation is found in an earlier blog at:

So what we have now is our first 'chord' alignment that corresponds to the diameter of the Stonehenge ditch and the starting point of the circle which is its alignment to The Avenue.

Stonehenge Drawing 2
Start of Phase II construction with The Avenue alignment

From this start, they then sub-divided the circle up into six portions called a 'Hexagram' in mathematical terms for as we will show you in the book 'Dawn of the Lost Civilisation' the number six, and its multiples are very important to our ancestors.

Stonehenge Drawing 3
Phase 2-1 Hexagram added

The Hexagram was constructed by a series of strings of the same length (centre of the monument to the ditch) creating six 'equilateral' triangles, with all three sides the same length and therefore all three angles are of 60 degrees.

Equilateral Triangle
Properties of an Equilateral triangle

A crescent of stones was then formed for the monument (as illustrated in my previous book 'The Stonehenge Enigma') for the temple was dedicated to the dead and therefore, would have represented the crescent moon NOT the sun as some currently believe, for this adaptation occurred when later Druids altered the site by adding smaller stones and re-positioning the outer circle of bluestones.

Stonehenge Drawing 4

Then the five pairs of the trilithon stones in the inner horseshoe were added making sure the gaps between the stones followed the alignment corresponded to the hexagram design.  Lastly, the smaller outer circle trilithon which was aligned with the winter solstice sunset was added to complete the monument.

Stonehenge Drawing 5

The Altar Stone and the 'relief map' (Slaughter Stone) of Doggerland was added to complete the original monument to point to our ancestors 'lost land' which Plato called 'Atlantis'.

Stonehenge Drawing 6
Final Completed Structure

A complete explanation of the mathematics and symbolism within the Stonehenge Monument will be reviled in the second book of the trilogy 'Dawn of the Lost Civilisation' out in the autumn of 2014.

Stonehenge Drawing 7
Stonehenge 4200 BCE

Included in the book are the following explanations:

The Use of the Hexagram rather than any other shape?

Why imperial measurement has terms as 'feet or foot'?

How Pythagoras theorems were used 3500 years before he was born?

Why there are 12 'units' to a foot rather than 10?

The builder's ratio of a yard and what it is connected to?

The TRUE symbolism behind the Hexagram symbol we call the Star of David?

The religious link between the 'double triangle' that is in the centre of the monument?

How this mathematics was incorporated in the building of the 'Giza Pyramid'?

The true date of construction of the 'Great Pyramid'?

Other 'Megalithic Structures' of the world this civilisation built and influenced?

The 12 houses of the Astrological Calendar and hours on the clock?

Why there is 60 minutes to an hour, 60 seconds to a minute?

How the golden ratio tells us how Stonehenge was used after the phase II construction?

Harmonic Proportions are to sound as the Golden Ratio is to structure. 

and much, much more!!

Stonehenge Original Structure
Monument to the Dead - a crescent Moon



  1. Dear Robert,

    Like Stonehenge, there are many other monuments oriented towards the summer solstice and, simultaneously, towards a specific point in the earth denominated “site 145″.
    See this TEDx talk:

    Sincerely yours,

    Javier Ropero Peláez

  2. Javier

    Thank you for the link - it's an interesting idea.

    Sadly, to believe that sites are linked to a single point on the earth at a time of 'bronze age' technology (Plato) would make it impossible for this kind of civilisation to link to a point half way across the world. As the 'ley line' enthusiasts would also claim.

    Yes monuments would 'naturally' be linked with either the sun or the moon when it comes to alignments as clearly The Avenue at Stonehenge has shown, using line of sight as their measure. But Stonehenge has markers and a relief map in its structure which is quite unique in the world and hence the blog and claim.

    You have done some good and interesting work about the post Glacial Flooding aspects of the earth which I congratulate you upon, but it only goes to support my hypothesis of the date and location of Atlantis, which was a European civilisation which my new book 'Dawn of the Lost Civilisation' will further prove through DNA linkages, which still survive today.

    Keep asking questions and don't give up your research as it may take you down unknown avenues that may end up supporting my hypothesis.


  3. Robert what do you make of the stunning cities of Peru and Bolivia, the odd shaped skulls, and so on? The stone masonry there is some of the finest ever created.

  4. What we see at the end of the Neolithic Period is that stonemasons spread far and wide by a single skilled culture - the ancestors of Doggerland/Atlantis once there homeland was flooded - some went to Wales and Ireland, some to Scandinavia some to Egypt and some to south america. These masonic skills are the signature of this civilisation.