2. ROMANS 1:19-20 19) “What can be known about God is evident to the unrighteous because God has shown it to them. 20)From the creation of the world His
3. invisible attributes, that is, His eternal power and divine nature have been clearly seen, being understood through what He has made . As a result, people are without excuse.” Romans 1:19-20
9. INDIAN MATHEMATICS In 1202 AD Fibonacci’s book, Liber Abaci , introduced the sequence to Western European mathematics although the sequence had been described earlier in Indian mathematics.
18. The face is characterized, in terms of aesthetics, through some several main dimensions: the main distance between the eyes, the distance between the mouth and the eyes and the
19. distance between the nose and eyes, and the size of the mouth. The aesthetics is considered to be even more pleasing to the eye as these dimensions better meet the Fibonacci sequence.
27. Why did the Greek sculptors and others in ancient Greece and Egypt often use this ratio in designing many of their works of art? Because this ratio has been found to be remarkably pleasing to the human eye , it produces the Golden Rectangle .
28. This rectangular shape was close to the pattern used in the designing of the Parthenon of Greece and for many of the numerous pictures, vases, doorways, windows, statues, etc.
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30. PYRAMIDS The Great Pyramid of Giza is remarkably close to a "golden pyramid". Several other Egyptian pyramids are very close to the rational 3:4:5 shape. Relation to Orion’s Belt.
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35. GOLDEN SPIRAL This spiral is visible in things as diverse as: hurricanes, spiral seeds, the cochlea of the human ear, ram’s horn, sea-horse tail, growing fern leaves, DNA molecule, waves
36. breaking on the beach, tornados, galaxies, the tail of a comet as it winds around the sun, whirlpools, seed patterns of sunflowers, daisies, dandelions, and in the the ears of most mammals.
41. When we realize that the information to produce these spirals and numbers in living things is stored in the DNA, should we then be surprised to find that DNA is 21 angstroms in
42. width and the length of one full turn in its spiral is 34 angstroms, both Fibonacci numbers? The DNA molecule is literally one long stack of golden rectangles.
49. GOLDEN RATIO IN THE BRAIN In 2003, Volkmar and Harald Weiss concluded that the golden ratio underlies the clock cycle of brain waves. In 2008 this was empirically confirmed by a group of neurobiologists.
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51. Composer John Williams featured choirs singing in Sanskrit for ”Indiana Jones and the Temple of Doom” and in Star Wars Episode I: “The Phantom Menace”.
52. GOLDEN RATIO IN FINANCE The golden ratio and related numbers are used in the financial markets. It is used in trading algorithms, applications and strategies.
53. FINANCIAL MARKETS Some typical forms include: the Fibonacci fan, the Fibonacci arc, Fibonacci retracement and the Fibonacci time extension.
54. ORBITS In the area of very large phenomena when the time period of each planet’s revolution around the sun is compared in round numbers to the one adjacent to it,
55. PLANETS AND PLANTS their fractions are Fibonacci numbers! Beginning with Neptune and moving inward toward the sun, the ratios are 1/2, 1/3, 2/5, 3/8, 5/13, 8/21, 13/34. These are the same as the spiral arrangement of leaves on plants!