Architecture

To build the pyramid of Cheope the Egyptians have applied the golden ratio?

The students of two classes of the institute "Veronese" have made a study to answer to this question considering that Euclide will formalize his "extreme proportion and average" about two thousand years later.

From the activity of 39 students has emerged that a number next to φ = 1618033… is present in the proportions of the great pyramid.
Here you can see the pictures made by four students that exemplify better the work:

CH:HB=1,616
AB:CO=1,575
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LIKE THE PREVIOUS ONE
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LIKE THE PREVIOUS ONE
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LIKE THE PREVIOUS ONE

At the end of the work the students have established that:
the ancient Egyptians didn't know the φ = 1618033… but they looked for a harmonic proportion that, as a consequence, was next to the, "golden number."
However not all the students agree and a minority (7 on 35) believes that the found relationships are only casual. And 3 students on 35 think the Egyptians knew and applied the golden ratio.

GREEK ARCHITECTURE

ABOUT PARTHENON AND GOLDEN RATIO
a study made by the Italian students of the Istituto Magistrale
“A.Veronese” of Montebelluna
The question is:
Is there a relationship between Parthenon and Golden Ratio?
These are some answers from our students:

The golden rectangle gives a harmonious aspect to the façade of the Partenone conferring him an extreme equilibrium.

The Partenone can be inserted in a golden rectangle because the relationship between its base and the height is 1,618: the golden number. This relationship is also visible in other elements and decorations of the pediment.

The partenone has been subscribed in the golden rectangle, because it gives a pleasant vision to whom looks at it, it is a sort of divine ownership. The golden ratio is a characteristic that you can find in a lot of circles (from the zoology, to the botany, to the art…)

People think that the Partenone is subscribed in a golden rectangle because the height of the whole building, that goes from the summit of the eardrum at the base of the crepidoma on which leans the stilobate with the columns, is separated according to the golden ratio from the height of the columns. Besides the greatest side (AB) is to that smaller (BC) as the whole one (AC) it is to the greatest part (AB) according to the golden proportion

The Partenone has been subscribed in the golden rectangle because it serves for making it more harmonious to the eyes of the man and being the golden rectangle the pure geometric figure for excellence, it serves for giving a harmonic form to the structure.
The façade has been edged with a rectangle, that as you can be realized it is a golden rectangle. The other lines in the mean point out a peculiarity of the golden rectangle: if from it we remove a square of side of it equal to the height, the remaining part it is still a golden rectangle.