Blah Blah
Rehabilitation of 666
【洪】ILHONG
2005. 5. 2. 12:15
| Preface and Warning: Rehabilitation of 666 | |||
666 = 73 π (Φ -1) = 73 π φ or 666 = (6/5) 73 Φ with π = 3.141593 Φ = 1.618034 φ = Φ -1 = 0.618034 Curiously, I have found recently a direct link between the Beast Number 666 and the famous Golden Number Φ, well-known by Pythagoras, Leonardo da Vinci ... and in Sacred Geometry. This unexpected and incredible relation 666 versus Φ may constitute a way for the Rehabilitation of 666 !!! ... Definition of the "Divine proportion" or Golden Ratio The 3 irrational, transcendental numbers π , e and Φ are very important in Sacred Geometry. By definition, the Golden Number is the solution of the quadratic equation Φ2 + Φ -1 or the ratio of sequential entries of Fibonacci Numbers Fn The solution of the former equation is (-1 ± √5)/2 so that: Φ = 1.61803 39887 49894 84820 45868 34365 63811 77203 09180... φ = Φ -1 = 0.61803 39887 49894 84820 45868 34365 63811 77203 09180... Φ + φ = √5 This relationship between Φ, φ and √5 can refer to David's star (5-pointed star) which form an inscribed five-sized regular pentagon. Main propreties of irrational numbers π , e and Φ Φ = 1/Φ + 1 = φ + 1 = 1/φ 1/Φ = φ = Φ - 1 Φ x φ = 1 Φ/φ = Φ + 1 and φ/Φ = 1 - φ Φ = φ + 1 = √5 - φ and φ = Φ - 1 = √5 - Φ Φ2 = 1 + Φ and φ2 = 1 - φ π ? 4/√Φ and π ? (6/5)Φ2 From Dixon (1991): 6/5(1 + Φ) = 3.141640... = π 45º = π/4 ? √Φ ? 1 - 1/3 + 1/5 - 1/7 + 1/9 ... = 0,7853981634 ... π = 3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 ... e = ∑1/n! = 2 + 1/2! + 1/3! + 1/4! + 1/5! + 1/6! + 1/7! + 1/8! + 1/9! + ... by definition factorial n or n! = 1x2x3x ... x(n-1)xn e = 2.71828 18284 59045 23536 02874 71352 66249 77572 47093 69996 ... e ? 10 (√Φ -1) Gelfond's constant eπ = (eiπ)-1 = ( -1)-i eπ = 23.140692632 and eπ - π = 19.999099979... ? 20 ? Whole number eπ ? πe and eπ ? π + 20 also π2 ? 10 and π3 ? 31 By interpreting the decimal point in π like a sign of multiplication and by considering per pairs the first ten decimals of π, Eli Eshoh clarifies the link with number 666: π = 3.1415926536 ... ⇒ 3x(14+15+92+65+36) = 3 x 222 = 666 Fibonacci numbers Definition of Fibonacci numbers: Fn = Fn-1 + Fn-2 with F0 = 0, F1 = 1, F2 = 1 , Fibonacci series: 0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,4181,6765,10946,17711,28657, 46368,75025,121393,196418,317811,514229,832040,1346269,2178309,3524578,5702887, ... The standard formula for the Fibonacci numbers is due to a French mathematician named Binet (1786-1856), who prove that the ratios of successive Fibonacci numbers, Fn+1/Fn, converges to Φ. The Binet Formula (1843) for Fn: Fn+1/Fn = Φ = (1 + √5)/2 or Fn = [Φn - (-φ)n]/√5 and x = Fn+1/Fn = 1 + Fn/Fn+1 = 1 + 1/x Guy (1990) notes some equivalence between Fibonacci and exponential series: Fn = e(n-1)/2 e(n-1)/2 gives Fibonacci series 1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584 ... for n = 0, 1, 2, 3, ... 1 mile ? Φ kilometers Fn mi = Fn+1 km ⇒ 5 mi = 8 km or 8 mi = 13 km Direct link between Beast Number 666 and Golden Number Φ Special Numbers 36, 144, 216 and 324Circle = 360º = 2 π radians ⇒ 1º = 2 π/360 radians = π/180 radians then:36º = π/5 144º = 4π/5 216º = 6π/5 324º = 9π/5 666º = 37π/10 36 = 6 x 6 = 13 + 23 + 33 = 12 x 22 x 32 = (1 + 2 + 3)2 The sum of the first 36 numbers is equal to 666:
36=3!x6(Triple 6...)36=13+23+33(Trinity...)36=22x(1!+2!+3!) "Mirror" of 36 = 1/36 = 0.27 777 777 777 ... ⇒ 777 (1+6+7+9+6+1+6)4 = 364 = 1 679 616 144 = 36 x 4 216 = 36 x 6 324 = 36 x 9 144 = [(6+6) x (6+6)] = 3! x 4! = (1 x 2 x 3) x (1 x 2 x 3 x 4) = 6x6x4 = 6x24 144 = 12 x 12 = 122 and 441 = 21 x 21 = 212 441 = mirror of 144 and 21 = mirror of 12 ... like in 12 apostles; 21 and 12 ⇒ 2+1 = 1+2 = 3 ... like in Trinity God created the world in 6 days, that is 6 x 24 hours = 144 hours 216 = 63 = 6x6x6 216 x 666.66666666666... = 144,000 144,000 ÷ 666 = 216.216 216 216 216 216 216... According to the Bible, only 144,000 people from Israel, all with God's seal on their forehead, will be saved (Revelation 7:4) 666 is the sum of the first 144 digits of the decimal expansion of π The beast number is equal to the sum of the squares of the first 7 primes 666 = 22 + 32 + 52 + 72 + 112 + 132 + 172 666 = 16 - 26 + 36 Formulas for Link 666 versus ΦAfter computing some sines and cosines [a good on line Trigonometry calculator available here], expressed in Degrees and absolute values, we obtain:Φ/2 = sin 666º = cos 324º = cos 216º = cos 144º = cos 36º = 0.80901699... Φ = 2sin 666º = 2cos 324º = 2cos 216º = 2cos 144º = 2cos 36º = 1,61803399... Φ = sin 666º + cos 216º = sin 666º + cos (6x6x6)º Φ = cos 144º + cos 36º = cos [(6+6) x (6+6)]º + cos (6 x 6)º Φ = sin 666º + cos 144º = sin 666º + cos [(6+6) x (6+6)]º 666 = 73 π (Φ -1) = 73 π φ or 666 = (6/5) 73 Φ Some useful references 666 Myth at http://www.666myth.co.nr/ Trigonometry calculator On line, by 1728 Software Systems, at http://www.1728.com/trigcalc.htm Dixon, R. "The Story of Pi (π)" §4.3 in Mathographics. New York: Dover, pp. 44-49 and 98-101, 1991. Keith, M. "The Number 666" J. Recr. Math. 15, 85-87, 1982-1983. From MathWorld, Golden Ratio at http://mathworld.wolfram.com/GoldenRatio.html Guy, R. K. "The Second Strong Law of Small Numbers" Math. Mag. 63, 3-20, 1990. Fibonacci Numbers & The Golden Ratio Link Web Page at http://www.goldenratio.org/info/index.html |
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Source: http://www.chez.com/cosmos2000/Numbers/666Pope.html