It was described and studied for the first time by Euclides towards 300 year B.C. In the Middle Ages an aesthetic and divine character was attributed to it considering perfect the proportions that followed the principles of the golden ratio. Its mathematical formula is φ = 1 + √5/2 = 1´6180339887 ....... until the infinite. The squared Root of 5 is also an irrational algebraic number with an infinite value.
This small flower of Ophrys speculum has the mystical beauty attributed by the mathematicians to the forms that fulfill the proportions of the golden ratio. It was very simple to find two values to calculate it with an amazing exactitude.
This small flower almost albino of Solenopsis balearica, endemic to Majorca, it also has a structure in the form and distribution of its five petals that seem designed by a mathematician. A simple outline uniting the vertices of both lateral major petals gives the first value AB and another outline uniting the vertices of both smaller petals gives to the other value CD. The simplicity and the beauty of the design are amazing. The obtained golden ratio is surprising exact.
φ = AB / AC = 1´61803.
φ = AB / BC = 1´61803.
This flower of marine lily, Pancratium maritimum, of an immaculate target and a perfect symmetry account with a design that facilitates much to find two values to calculate the golden ratio. First value AB is obtained uniting with a straight line the vertices of two opposite petals. In order to find the second value two lines draw up that go from the vertex of each one of the two previous petals to the vertex of a noncontiguous petal. These two lines are crossed in point C and form a cross with two long arms and two short arms. Each one of the long arms are the second value.
φ = AC / AB = 1´61803.
And finally another example of a canary plant, the Hedera canariensis, photographed in the gorgeous Bosque de Los Tiles of the Island of La Palma. Their cordate leaves of a perfect symmetry allow to find with facility two diagonal lines that when being divided between them give the golden ratio, the magic number of the divine beauty and the perfection.