Juan Manuel Leiva V, Fidias Institute
This paper proposes a model of territorial organization of current and future cities, so that between them and individually can establish a hierarchical, administrative and interconnection relationship. The relationship is based on two numeric keys, the first is based on the number seven and the second based on the Fibonacci sequence.
The methodology used takes under consideration elements in urban planning of some ancient civilizations: the Mayan culture model city states, Roman interconnection between the territories spanning the Empire and the Greek definition of public spaces according to their use.
The models proposed for the design of cities are analogous to living organisms, of which they can get their benefits as the economy due the resource rational exploitation, stability by the effect of redundancy and beauty for order and simplicity.
The implications of adopting this model are:
1. Growth and / or expansion of cities, like in living beings: from inside to outside, maintaining its integrity and updating their vital functions; and not chaotically producing failure of vital systems (infrastructure).
2. That by incorporating in cities spaces for artistic, political, religious and scientific expression, will result in a comprehensive education of human beings in their physical, mental and spiritual dimensions.
“They built huge cities. With soil and rare metals they built.”
Book of Dzyan – Stanza XI.
The oldest texts, those who we know about, make reference to the existence of cities; several tens of millions of years ago. Although these dates still require many years to be corroborated by official science. Therefore only speculate would spare the issues faced by these “first” city dwellers and even for cities in the Middle East dating from 6,000 years ago.
The truth is that our historical memory, on the problems faced by cities, takes us back to just the challenges of medieval towns that began to industrialize, as the well-documented case of London; disorderly agglomeration of villages in megacities in Latin American countries and the entrance to the economic globalization of Asian countries such as Korea.
Because cities are centers which bind people and each person develops within their jobs and functions, obviously there is a variety of trades such as industry, commerce, art, sport, religion and finance among many others. Hence the importance of giving each their space that allows develop properly, but not to the detriment of other sectors.
Putting this in harmony avoid one or more of these inconveniences suffered all cities:
1. Space overlapping: When an activity interrupts another. For example a millwork in a residential area or music school next to a library.
2. Incomplete Cultural expression: For example, when in a community there are not enough theaters, sports centers or appropriate trade.
3. Daily mobilization of people between cities for work, business, study and other reasons.
4. By expanding the udders by population growth, they absorb merging villages in an amalgam, where is hard to identify where begins one or another.
We understanding that the human being is part and is integrated with all forms of life, and that life forms must attend, consciously or unconsciously universal principles and orders. Therefore every human expression, such as cities, should also follow universal patterns.
Cities should be under this premise, a sort of organic elements capable of containing life and governed by natural patterns.
Individual cities should be formed by the different natures or planes of existence, its growth should be as living things do, also must interact harmoniously among other cities just as they the neurons do in the brain, or as organs do in the body to form a more complex organism.
“…under the guidance of their divine Rulers, they built large cities, cultivated arts and sciences, and knew astronomy, architecture and mathematics to perfection.”
Blavatsky, Helena, The Secrete Doctrine, Book III.
As assert the trans-Himalayan teachings, these models of natural and organic cities were used by humans since ancient times. Therefore we can extract from them these elements for your understanding and eventual implementation.
The cities must be living elements having the characteristics of life:
Like a cell, cities contain three concentric rings representing the nucleus, cytoplasm and membrane. Figure 1 shows the outline of a city with three concentric spaces. The innermost is assigned to the government with its characteristics of order, beauty, justice and truth, this is the Nous comprising the top three principles of septenary constitution (Atma, Buddhi and Manas).
The blue area corresponds to the Psyche, human exchange sheltering in its dimension of enthusiasm and healthy living, represented the Kama-Manas and Astral. The outermost ring surrounding the innermost like a membrane and allows the physical sustenance of the whole; this is the Soma, representing hygiene and good manners and corresponding to the sevenfold principles of Prana and Etero-physical.
Figure 1 Model city with three divisions for the various activities.
Diameter sizes of each division are related to each other by the Fibonacci sequence.
Two examples of urban spaces assigned to Nous are shown in Figure 2. The size of these areas varies. The ceremonial center of Teotihuacan in America is one of the largest known in the world, also in the classical culture such as the Acropolis in Europe.
Figure 2 Above: Aerial photograph of the ceremonial center of Teotihuacan in Mexico with an observable extension of 2016 m.
Bottom: Representation of the ceremonial center of the Acropolis in Greece, with an extension of 320 m.
These ceremonial centers so conceived and with these proportions are typical of the peoples of high culture, the references that we have are the classical civilizations. Currently we do not find such references.
However many modern cities and even villages outlined these principles in the urban areas: a central square that includes a block of 84 meters on each side, and in the center a fountain as a symbol of the origin of life; a sculpture may be also placed. At the east is located the church as a representation of religion and the rest of the sides governor palace as representing politics. The other two sides are usually placed schools or libraries as science representation and theaters as a representation of art.
These are the representations of the inherited culture of Greece and Rome as exponents of the fifth race, with its plane and simpler compared to the exponents of the 4th race with its portentous pyramidal three-dimensional representations, as in Egypt, Mexico, Mesoamerica and China.
In each of the spaces develop the following activities:
• NOUS: state, ceremonial and administrative center, housing for senior officials.
• PSIQUE: public and administrative services, schools, colleges and universities, laboratories, libraries, theaters, exhibition halls, churches, army, banking and finance, trade, services in general and housing.
• SOMA: Industry, agriculture, animal husbandry, farming and housing.
Figure 3 shows a design proposal for the Nous and Psyche of a city. Both maintain the efficient and well-known Roman grid of streets north to south (cardo maximus) and avenues from east to west (decumanus).
Figure 3 Core of the city (NOUS) also PSIQUE, both with streets and avenues.
Also shows satellite citadels in the intermediate areas.
The NOUS will consist of approximately 9 blocks for ceremonial buildings, administrative and housing for state officials.
Psique area has commerce, schools, markets, some industry and more housing.
Also is proposing satellite citadels to places hospitals, universities, trade centers, sports villages and art centers. These citadels located on the outer edge of the psyche of the city will be suitable as it will benefit from the transport system. This is because the edges serve as a transport corridor that will connect the entire system, as will be seen later.
This city structure is symmetric: has a center that gives moral and spiritual depth and keeps all together gravitating around. The other elements have an ordered arrangement, separated by streets and avenues. At the edges, likeness of mass centers distributed in the periphery, there are several elements that energize human activity and complement each other. There is space and balance, it strengthen and develop trade, gymnastics, arts, research and health.
“The Outer of the First became the Inner of the Second.”
Book of Dzyan – Stanza V
Urban settlements start with small villages, which then form citadels, later on cities and mega cities. The speed of this growth depends on population growth, migration and the availability of natural resources among others. Then a city grows, the area colored in red shown in Figure 1, now covers the entire blue area, and the blue will become the orange area and the orange occupies a new space extending to the outside, forming the larger layout. It is proposed that the growth pattern is spiral like living beings, and this pattern follows the Fibonacci sequence.
Figure 4 shows how the spiral increases in size with each revolution on itself. Regardless of size, the outermost arches have the same ratio in relation to the innermost.
Figure 4 The Fibonacci Spiral: an approximation of the golden spiral generated by drawing circular arcs connecting the opposite corners of the square-adjusted values of the succession, attaching square with side 0, 1, 1, 2, 3, 5, 8, 13, …
Hierarchy of cities
Besides cities grow, they have different sizes relative to one another and are bound administratively to each other, following a hierarchical order. According with the conventional administrative political division of territories, we have countries or states that are formed by provinces and these by counties and counties are divided into districts. Therefore every city is a district.
The district that performs as the capital city of the main province of a country will be assigned with a D***, as shown in Table 1 in the same way the district that performs as capital of a province will be D**, and the district head of county D* and D for the regular district.
In the same table the size of the diameter of the ring of each layer is proposed. For example, in the district header of the country, the first 4 rings corresponds to the Fibonacci series 1, 3, 5 and 8 (printed in red), representing the NOUS of the capital.
Table 1 Districts hierarchy and sizes proposal.
The width of the ring is given in three units: the value of the Fibonacci series, number of blocks and meters. Rings in red correspond to the NOUS of the city, the blue to PSIQUE and orange to SOMA.
Interconnection between cities
Cities like life functional units must provide their citizens the basic requirements in each of the three dimensions or natures. So there will be a dynamic communications and transport allowing the movement of people, food and services within the cell (district). Each outer edge of ring is used as a limit and as transport, generating road bypasses, meters or whatever suits better.
There will be also, a hierarchical interconnection between cities. They are grouped in sevenfold key: seven cities will form a canton, where one of those cities will act as central county or D* according to Table 1.
Figure 5 shows a constellation of seven districts of a county. There are six districts type D satellites that connect each to the central district D*.
Figure 5 County conform by a central district D* and six satellites districts D.
Each satellite district connects directly via transport route to the central district of the county.
The roads marked in green connect the NOUS rings. These pathways allow direct communication between each district and the central district, allowing flow of people, services, products, information and relationships in a direct manner. Each line will be constructed as districts grow, meanwhile two or more cities may share one path.
These pathways are classified as tertiary and connecting adjacent communities. They are appropriate ways to have bikeways and sidewalks due the short or moderate distances. They must have different service levels, according to the tract that loops through:
• ID-1: Ring around the NOUS, 2 lanes in each direction with bus bay, boulevards and avenues.
• ID-2: Section passing through the PSIQUE Intersections every 3 blocks.
• ID-3: section that crosses the SOMA, two lanes, intersections every 5 blocks or equivalent.
The interconnection between cities is important because although each district is a functional unit; it is also a kind of vital organ of a more complex living being. Therefore each district of the county represent one of the following body parts: the brain, lungs, heart, kidneys, etc. and should perform specific functions to be shared with the whole. This according to the nature or beam that channels each district.
Once more, going from the small to the bigger with a fractal behavior, a group of seven counties form a province, where there will be a central county and gravitating around him, six more counties.
Figure 6 Province conform by a central county and six more gravitating around it.
Each head of county D* connects to the provincial capital D** district.
The architecture of the various elements of nature is fractal because this model responds to two basic principles, the correspondence principle and the principle of economy. The natural economy copies the models from big scale to small scale and vice versa.
“The whole cosmic order, as far as we know it, is eminently economical. Despite its immense formally plurality, never ever one thing is identical to another …”
Political Ideal, JAL
The brown interconnection line of Figure 6 shows how each district head of the county (D*) connects with the provincial capital (D**) district. These roads are classified as secondary and can have bikeways due the moderate distances. These pathways may also represent transports such as trams or trains.
These pathways should also contain different service levels according to the tract:
• IP-1: Ring around the PSIQUE.
• IP-2 section that crosses the SOMA
Finally we can group a set of seven provinces to form a country; each province doing themselves works of a certain organ to vitalize the living being that is the nation. This nation will have a central district D*** that connect to each district provincial capital D** which gravitate around a center.
Figure 7 shows apparently the complete set, due to the correspondence principle, countries or states may bound together to conform a confederation or empire.
The interprovincial connection marked in purple will be main connections, with high level of service; such as trains or roads with several lanes.
Figure 7 Country conform by seven provinces, six of them gravitating around the capital.
Each district provincial capital D** will connect with the capital D***
Include other elements that were not covered in the article but complete understanding of the subject. Among them are:
• Underground buildings
• Sacred Geographies
• Design of roads and transport
• Defense and military systems
“… It is well known by the Brahmin Initiates of India and especially the Yogis, that there is no temple-cave in the country that does not have underground passages running in all directions …. ”
Blavatsky, Helena, The Secret Doctrine, Volume III.
It is common to find underground buildings below ceremonial centers. Such structures as intercommunicating chambers and tunnels with different surface structures.
An example of this is the ceremonial center in Giza in Egypt and Teotihuacan in Mexico.
The location and orientation of cities and buildings were not arbitrary in some civilizations. For example the relative location of the dozens of Mayan cities in Mesoamerica has correlations with the brightest stars of different constellations. Cities are a terrestrial reflection of principles and celestial powers, so each city is a kind of talisman that channels a special form of energy or intelligence.
The orientation and alignment of the buildings also represent cosmic principles special conjunctions of planets, solstices, equinoxes, among others.
Also consider the possible applications of transport systems and designs ways:
• Buses that run on tracks above the traffic
• Bullet Trains
• Fluvial and maritime
• Flying cars
It is not considered in these notes hierarchical horizontal communication, between cities in the same hierarchy. But suffice it to say that this would create a huge network interconnection, similar to the neural network of a living being with hundreds of thousands of roads and pathways.
The human been, aware of its own nature and its bound with the Cosmos, should reflect on its industry and life style, the principles of the Cosmos.
When cities copy to the cosmos his vital principles and organization, allows all its inhabitants, each in their measure, cooperate with each other and fully develop their different vehicles of expression.
It is desirable that the city dwellers have access to the sacred and a healthy living. Allowing this to replicate and grow, in an ordered manner and economically efficient; will make these social structures more durable and stable.