OSIRIS=SATURNO-ISIS=JUPITER Y MARTE=HORUS-TRIANGULO 3-4-5 - FORO LIBREPENSADOR SIN CENSURA

Templates

The etymology of the word template has its roots in the word temple. You can imagine how geometry etched in plaster, stone or metal might have guided ancient temple construction. The temple plates became known as templates.

If you walk through a temple such as a church or mosque its template is typically pretty obvious if you stop to think about it, being that its plan is based on longstanding religious tradition. The meaning of older templates might not be so clear if the tradition has been broken or we have somehow lost the plot with the passage of time.

Modern building templates tend to respond to the practical needs of their owners, occupants or in some cases, the egos of their architects, rather than embodying celestial order as above, so below. However, there are many notable exceptions.

Lately I have been studying Asian architecture and urban design, and have noticed similarities between Angkor Wat and the Forbidden City.

Angkor Wat Forbidden City

The have roughly the same proportions and, similar but slightly different dimensions. Angkor Wat is ~888×1111 meters, not including its moat. The Forbidden City is ~888×1111 meters including its moat.

This comparison visually reminded me of a stereogram art piece I made back in 2010 called “Chasing Isis”.

Chasing Isis (object array stereogram)

Try staring unfocused at the pair of images until a third image appears in between the two images in your mind’s eye. Find this image in your perception and then slowly bring it into focus. When you see it clearly, it will be an unmistakeable Eureka! You will perceive an extra dimension of depth. I find stereograms like this a wonderful analogy for higher dimensions and the unseen realms that remain secretly hidden in plain sight until you perceive them.

Once you’ve got it, try moving your head very slightly from side to side to accentuate the parallax effect. I’ve written many articles about stereograms in my “Beyond Photoshop” column in Photoshop User magazine (I’ve written 62 articles there since 2007).

Taking a closer look at Angkor Wat, I see that the center of the sanctuary is located by the apex of a triangle whose slope angles measure 51°51′. The proportions of the island are 6:5 and at that scale, the faces of the “pyramid” have the proportion of 5.555 and the distance from the apex to the base of the island is 3.141, recalling π.

Angkor Wat geometric analysis

The ancient Egyptian template for the Great Pyramid also encodes π and 51°51′.

“Thirteen Moons” from Quantification

The Forbidden City uses a different template that appears to me to be based on the 3-4-5 triangle and its squares. The 3-4-5 triangle has the slope angle of 53°8′ and the apex of two back-to-back triangles locates the Hall of Preserving Harmony at the center of the Forbidden City.

345-angles

The template shows that the dimensions of the squares are 3, 4, and 5 units. At this scale the gap between the apex of the “pyramid” and the 3×3 square measures .333 units and the gap between the intersections of the arcs and the 4×4 square measures .33 units. That’s a lot of Threes!

The Forbidden City template

There are numerous geometric correlations between this template and the Forbidden City. Take a closer look.

Forbidden City geometric analysis

Where have I seen squares measuring 3, 4, and 5 units on edge before? Oh yes, that’s Euclid’s 47th proposition. You remember, a squared plus b squared equals c squared?

Pythagoras’ triangle

I know, really boring right? Well Euclid’s propositions can actually be quite entertaining or frustrating as the case may be. I couldn’t figure out Level 20 but sure had some geeky fun getting there.

Gary Osborn, Nicolas Poussin and John Michell taught me that the humble 3-4-5 triangle encodes the true proportions of the Earth and Moon…

Extended implications of Euclid's Proposition 47

The larger implications of Euclid’s Proposition 47

…and the tilt of the Earth.

The 3-4-5 triangle encodes the Earth’s obliquity

There is also this equation:

666-345-555

I’ve also shown how the 3-4-5 triangle and the golden rectangle encode the location of Dendera, the birthplace of Isis…

“Birthplace of Isis” from Quantification

…and correlates with magic squares and their planetary associations:

“3-4-5 Magic”

Freemason writers such as Frank Higgins accorded the 3-4-5 triangle Egyptian significance by correlating it with Osiris, Isis and Horus. The squares planetary associations match the gods. Osiris = Saturn, Isis = Jupiter and Horus = Mars.

The 3-4-5 triangle is another ancient Egyptian template.

This just in…Urban Asplund says the dimension 888x1111m shared at Angkor Wat and the Forbidden City is suspiciously close to π squared times 100,000. In fact it is 99.98% the same. That is interesting not only because of π in Angkor Wat’s template but also because it measures 3141 km from Angkor Wat, Cambodia to Ellora, India. Here is how it looks when we connect the dots and continue hacking the world matrix:

Angkor Wat Greater Pyramid

The distance from the Forbidden City to Angkor Wat is 99% equal to the distance from Ellora to Angkor Wat, so we essentially have an isosceles triangle draped on the spherical geometry of the Earth. Mount Everest is on the base of this “greater pyramid”.

http://www.secretsinplainsight.com/2014/07/02/templates/

PYTHAGORAS OF SAMOS

"We ought so to behave to one another as to avoid making enemies of our friends, and at the same time to make friends of our enemies."Pythagoras

Pythagoras, from the Greek island of Samos, (c570-c495 B.C.) believed that numbers were the building blocks of all reality. He is given credit for the discovery of the Pythagorean theorem, which states that "the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides".

The relationship between Pythagorean geometry and Bible gematria makes for an intriguing study. There is a verse in the Bible in which God addresses Moses from the burning bush:

"And God said unto Moses, I AM THAT I AM: and he said, Thus shalt thou say unto the children of Israel, I AM hath sent me unto you." Exo 3:14

In Hebrew, I AM THAT I AM is written as אהיה אשר אהיה (Ehyeh Asher Ehyeh), which has a gematria value of 543. Moses, or in Hebrew משה (Moshe) has a gematria value of 345. The numbers 3, 4 and 5 constitute the first Pythagorean triple.

The Babylonian tablet from 1900-1600 BC describing the triangular geometry later made famous by Pythagoras. Plimpton 322 is in the collection of G A Plimpton housed at Columbia University.

An old Babylonian tablet (1900-1600 BC), shown on the left, contains the so-called Pythagorean Theorem, except that it predates Pythagoras by a millennium or more. According to Neugebauer and Sachs (1946), the tablet lists in the two middle columns the numbers that satisfy the theorem. From the left, the first column indexes the contents of the table (1, 2, 3, …), the second and the third the hypotenuse c and the leg a of a right triangle all in sexagesimal numbers. The fourth column shows (c/b)2 where b is the basis of the triangle. For instance, the 11th row shows 75, 45, and 1.5625 = (75/60)2. A translation of another Babylonian tablet preserved in the British museum states (John Heise): 4 is the length and 5 the diagonal. What is the breadth? Its size is not known. 4 times 4 is 16. 5 times 5 is 25. You take 16 from 25 and there remains 9. What times what shall I take in order to get 9? 3 times 3 is 9. 3 is the breadth.

Math in Architecture and the Golden Section

August 23, 2018/

The Golden Section (aka Golden Mean, and Golden Ratio) phys.org

We use math in architecture on a daily basis to solve problems. We use it to achieve both functional and aesthetic advantages. By applying math to our architectural designs through the use of the Golden Section and other mathematical principles, we can achieve harmony and balance. As you will see from some of the examples below, the application of mathematical principles can result in beautiful and long-lasting architecture which has passed the test of time.

Using Math in Architecture for Function and Form

We use math in architecture every day at our office. For example, we use math to calculate the area of a building site or office space. Math helps us to determine the volume of gravel or soil that is needed to fill a hole. We rely on math when designing safe building structures and bridges by calculating loads and spans. Math also helps us to determine the best material to use for a structure, such as wood, concrete, or steel.

“Without mathematics there is no art.” – Luca Pacioli, De divina proportione, 1509

Architects also use math when making aesthetic decisions. For instance, we use numbers to achieve attractive proportion and harmony. This may seem counter-intuitive, but architects routinely apply a combination of math, science, and art to create attractive and functional structures. One example of this is when we use math to achieve harmony and proportion by applying a well-known principle called the Golden Section

Math and Proportion – The Golden Section

Perfect proportions of the human body – The Vitruvian Man – by Leonardo da Vinci.

We tend to think of beauty as purely subjective, but that is not necessarily the case. There is a relationship between math and beauty. By applying math to our architectural designs through the use of the Golden Section and other mathematical principles, we can achieve harmony and balance.

The Golden Section is one example of a mathematical principle that is believed to result in pleasing proportions. It was mentioned in the works of the Greek mathematician Euclid, the father of geometry. Since the 4^th century, artists and architects have applied the Golden Section to their work.

The Golden Section is a rectangular form that, when cut in half or doubled, results in the same proportion as the original form. The proportions are 1: the square root of 2 (1.414) It is one of many mathematical principles that architects use to bring beautiful proportion to their designs.

Examples of the Golden Section are found extensively in nature, including the human body. The influential author Vitruvius asserted that the best designs are based on the perfect proportions of the human body.

Over the years many well-known artists and architects, such as Leonardo da Vinci and Michelangelo, used the Golden Section to define the dimensions and proportions in their works. For example, you can see the Golden Section demonstrated in DaVinci’s painting Mona Lisa and his drawing Vitruvian Man.

Famous Buildings Influenced by Mathematical Principles

Here are some examples of famous buildings universally recognized for their beauty. We believe their architects used math and the principals of the Golden Section in their design:

Parthenon

The classical Doric columned Parthenon was built on the Acropolis between 447 and 432 BC. It was designed by the architects Iktinos and Kallikrates. The temple had two rooms to shelter a gold and ivory statue of the goddess Athena and her treasure. Visitors to the Parthenon viewed the statue and temple from the outside. The refined exterior is recognized for its proportional harmony which has influenced generations of designers. The pediment and frieze were decorated with sculpted scenes of Athena, the Gods, and heroes.

Parthenon Golden Section

Notre Dame Cathedral in Paris

Built on the Ile de la Cite, Notre Dame was built on the site of two earlier churches. The foundation stone was laid by Pope Alexander III in 1163. The stone building demonstrates various styles of architecture, due to the fact that construction occurred for over 300 years. It is predominantly French Gothic, but also has elements of Renaissance and Naturalism. The cathedral interior is 427 feet x 157 feet in plan. The two Gothic towers on the west façade are 223 feet high. They were intended to be crowned by spires, but the spires were never built. The cathedral is especially loved for its three stained glass rose windows and daring flying buttresses. During the Revolution, the building was extensively damaged and was saved from demolition by the emperor Napoleon.

Notre Dame Cathedral in Paris

Taj Mahal

Built in Agra between 1631 and 1648, the Taj Mahal is a white marble mausoleum designed by Ustad-Ahmad Lahori. This jewel of Indian architecture was built by Emperor Shah Jahan in memory of his favorite wife. Additional buildings and elements were completed in 1653. The square tomb is raised and is dramatically located at the end of a formal garden. On the interior, the tomb chamber is octagonal and is surrounded by hallways and four corner rooms. Building materials are brick and lime veneered with marble and sandstone.

Math in Architecture and the Golden Section

Taj Mahal designed by Ustad-Ahmad Lahori

As you can see from the above examples, the application of mathematical principles can result in some pretty amazing architecture. The architects’ work reflects eye-catching harmony and balance. Although these buildings are all quite old, their designs have pleasing proportions which have truly passed the test of time.

https://bleckarchitects.com/math-in-architecture/