WHAT IS CORDOVAN PROPORTION?

"The culture of proportion is as old as man, and also renewed with every new generation so that is the reason about the continuous succession of appearing and disappearing trends, proportions. "                                        

CORDOVAN PROPORTION was discovered and studied by the cordovan architect Rafael de la Hoz.The cordovan rectangle has this proportion between its sides L1 and L2 .

The Cordovan Proportion is an irrational number: 1,3 approximately. It is known as the cordovan number. This mathematical  has its origin in the relation between the radius of the circumference circumscribed into the regular octagon and the side of this one.

The value of this proportion is lower than the golden number. The golden proportion refers to the relation between the side and the radius of the decagon, the square one is the same relation but in the hexagon, and the root of two is the resultant of the square.

 

To construct the cordovan rectangle you must do the bisector of the right angle and the obtained side is divided between the radius. Unlike other proportions the figure is not alone without relation with to happen. The algorithm arises from the mathematics and the geometry but coinciding the octogon with the reflection of the solar light in a certain latitude. It arises from a relation of correspondence between the harmonic ideal forms and those that the light plans in our vision, in the nature.

Origin

Architect Rafael de la Hoz Arderius (1925-2000) studied the cordovan architecture looking for the Divine Proportion (also known as Golden Ratio), discovered by Euclides on the III century B.C. 

Given the fact that Euclides book "The elements" has been guarded in Córdoba for centuries, the cordovan architect thought that this city was supposed to be especially sensitive to the divine proportion,a canon of harmony that is in nature and in humans, and whose mathematical equivalence is 1.6.

However, in 1951,after studying the Mosque and many others buildings in the city, he did not found it. Instead, he came across the repeated apparition of the 1,3 proportion. 

He also made a test to some Architecture students, asking them to draw a perfect rectangle, supposing that they would draw the one with the Euclides' proportion. However, the majority of them draw it according to the 1,3 proportion. Analyzing this event, it was discovered that it was particularly common among people born or living in Córdoba. After that, de la Hoz's continue studying the phenomenon for more than twenty years. 

 

These two pictures show the difference between Divine proportion (left) and Cordovan proportion (right):

Finally, the discovery  and research was reflected on a speech by Rafael de la Hoz father in 1973 , which, being discovered in Cordoba, he called the Cordovan proportion. A  canon "more human " and that not only occurs in Cordoba, but in buildings placed all the world.

                                    Rafael de la Hoz's Speech cover (1973)
Rafael de la Hoz's Speech cover (1973)

Therefore, although to classics the ideal man should acomplish Da Vincian divine proportions, the Cordovan man presents his own human ethnic characteristics.

Cordovan proportion vs. Golden proportion/Cordovan rectangle vs. Golden rectangle
Cordovan proportion vs. Golden proportion/Cordovan rectangle vs. Golden rectangle

The above pictures shows how human Venus acquires divine beauty by using cothunus (platform heels) .In the Greek theater when an actor or actress represented a divinity he/she always had to wear platform heels.

The anthropometric study on military figures, carved reliefs,sculptures and Roman mosaics led to the conclusion that Cordovan Roman ancestors liked to provide their human figures the 1.3 proportion.

You can see how human figures display the human proportion in this mosaic called "Mosaico de Alcolea".

The same happens on those two Roman Sculptures (left) and the Adan and Eve figures (right) found in a sarcophagus in Huerta la Reina (Córdoba).