This is just a demo map that you can delete right away, if you feel like it...
"A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the less.", "extreme and mean ratios"
Φ = (√5 + 1) / 2
Enter 1 to start the process. Take its reciprocal (the 1/x button or else x^y and power y:-1). Add 1. Take its reciprocal. Add 1. Take its reciprocal. Add 1. Keep repeating these two operations take the reciprocal, add 1) and you will find that soon the display does not alter and settles down ("converging" as mathematicians call it) to a particular value, namely 1.61803... .
Phildas(490-430BC) made the Pathenon statues that seems to embody Golden ratio
Euclid (c. 325–c. 265 BC), in his Elements, gave the first recorded definition of the golden ratio
James Sulley's article on aesthetics in the 9th edition of the Encyclopedia Britannica
1509, Luca Pacioli, De Divina Proportione, explored the mathematics of the golden ratio, advocated the golden ratio's application to yield pleasing, harmonious proportions
the Egyptian Pyramids, length of a face of the Great Pyramid : the distance from the same point : the exact centre of the pyramid's base square = 1·6
Heinrich Agrippa(16th-century philosopher ), a man over a pentagram inside a circle
Leonardo da Vinci, De Divina Proportione (On the Divine Proportion), some bodily proportions exhibit the golden ratio
truly beautiful page proportions 2:3, 1:√3
Fechner, test the idea that the golden ratio plays a role in human perception of beauty
James Tenney, For Ann (rising), upwardly glissandoing tones
Example, shapes of postcards, playing cards
Adolf Zeising, Animals, the skeletons of animals and the branchings of their veins and nerves, to the proportions of chemical compounds and the geometry of crystals, Plants, branches along the stems of plants and of veins in leaves
key to the golden section search
used in trading algorithms, applications and strategies, typical forms: the Fibonacci fan, the Fibonacci arc, Fibonacci retracement and the Fibonacci time extension