Panzerkardinal, Benedictum XVI and 666 
Preface and Warning: Rehabilitation of 666 
Golden Number Φ = 2sin 666º 666 = 7^{3} π (Φ 1) = 7^{3} π φ or 666 = (6/5) 7^{3} 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, wellknown 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
Φ^{2} + Φ 1 or the ratio of sequential entries of Fibonacci Numbers F_{n}
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 (5pointed star) which form an inscribed fivesized 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 Φ^{2} = 1 + Φ and φ^{2} = 1  φ
π ≈ 4/√Φ and π ≈ (6/5)Φ^{2}
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(n1)xn
e = 2.71828 18284 59045 23536 02874 71352 66249 77572 47093 69996 ... e ≈ 10 (√Φ 1)
Gelfond's constant e^{π} = (e^{iπ})^{1} = ( 1)^{i} e^{π} = 23.140692632 and e^{π}  π = 19.999099979... ≈ 20 ≈ Whole number e^{π} ≈ π^{e} and e^{π} ≈ π + 20 also π^{2} ≈ 10 and π^{3} ≈ 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: F_{n} = F_{n1} + F_{n2} with F_{0} = 0, F_{1} = 1, F_{2} = 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 (17861856), who prove that the ratios of successive Fibonacci numbers, F_{n+1}/F_{n}, converges to Φ. The Binet Formula (1843) for F_{n}:
F_{n+1}/F_{n} = Φ = (1 + √5)/2
or F_{n} = [Φ^{n}  (φ)^{n}]/√5 and x = F_{n+1}/F_{n} = 1 + F_{n}/F_{n+1} = 1 + 1/x
Guy (1990) notes some equivalence between Fibonacci and exponential series: F_{n} = e^{(n1)/2}
e^{(n1)/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 F_{n} mi = F_{n+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 324
All are multiple of 18 : 36 = 2 x 18 144 = 8 x 18 216 = 12 x 18 324 = 18 x 18 666 = 37 x 18
Circle = 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 = 1^{3} + 2^{3} + 3^{3} = 1^{2} x 2^{2} x 3^{2} = (1 + 2 + 3)^{2}
The sum of the first 36 numbers is equal to 666:
1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18
+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36  =  666 
36=3!x6 (Triple 6...) 36=1^{3}+2^{3}+3^{3} (Trinity...) 36=2^{2}x(1!+2!+3!)
"Mirror" of 36 = 1/36 = 0.27 777 777 777 ... ⇒ 777 (1+6+7+9+6+1+6)^{4} = 36^{4} = 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 = 12^{2} and 441 = 21 x 21 = 21^{2}
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 = 6^{3} = 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 = 2^{2} + 3^{2} + 5^{2} + 7^{2} + 11^{2} + 13^{2} + 17^{2} 666 = 1^{6}  2^{6} + 3^{6}
Formulas for Link 666 versus Φ
After 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...
1/Φ = 2 sin 18º = φ = 0.61803398... with sin 18º = 0.309016994...
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 = 7^{3} π (Φ 1) = 7^{3} π φ or 666 = (6/5) 7^{3} Φ
with 36 = 2 x 18 144 = 8 x 18 216 = 12 x 18 324 = 18 x 18 666 = 37 x 18
Some useful references
666 Myth at http://www.666myth.co.nr/
666 Mythe at http://www.666mythe.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. 4449 and 98101, 1991.
Keith, M. "The Number 666" J. Recr. Math. 15, 8587, 19821983.
From MathWorld, Golden Ratio at http://mathworld.wolfram.com/GoldenRatio.html
Guy, R. K. "The Second Strong Law of Small Numbers" Math. Mag. 63, 320, 1990.
Fibonacci Numbers & The Golden Ratio Link Web Page at http://www.goldenratio.org/info/index.html
 
Source: Associated Press / Osservatore Romano Pope Benedict XVI prepares to leave the Sistine Chapel on his way to greet and bless the faithful
 Cardinal Ratzinger was already one of the most influential men in the Vatican and a close associate of the late Pope John Paul II before he became Pope.
He was the highestranking official in the Catholic Church, after John Paul II. He also presided over the funeral of John Paul II and the Conclave of April 2005 which elected him.
Cardinal Ratzinger was conservative and usually took inflexible and controversial views on topics such as homosexuality, gay marriage, birth control, abortion, priest's wedding and even the Turkey'entry in the European Community. So, his nickname became the Panzerkardinal. Panzer is an abbreviation of the German designation for tanks or Panzerkampfwagen, using during World War II.
Actually, it is amazing to notice that Panzerkardinal Ratzinger, now Pope Benedictum XVI, carry the mark of the beast 666 in many numerologies.
 The Panzerkardinal = 666 in Telephone x9 system, a numerology multiple 9 of the basic alphanumeric encoding of your phone keyboard (A, B, C)=18=9x2; (D, E, F)=27=9x3; (G, H, I)=36=9x4; (J, K, L)=45=9x5; (M, N, O)=54=9x6; (P, R, S)=63=9x7; (T, U, V)=72=9x8; (W, X, Y)=81=9x9; Q=Z=0
(for details, see 666 Calculators at http://www.666myth.co.nr/ )
 Panzerkardinal = 1221, with 1221 x (6/11) = 666 in the Standard numerology: A=1, B=2, C=3, D=4, E=5, F=6, G=7, H=8, I=9, J=10, K=20, L=30, M=40, N=50, O=60, P=70, Q=80, R=90, S=100, T=200, U=300, V=400, W=500, X=600, Y=700, Z=800.
 Panzerkardinal Jozef Ratzinger = 666 in Starter 13 encoding, where A=13, B=14, C=15, ... , Y=37, Z=38.
 Panzercardinal Joseph Ratzinger = 666 in Base 2 numerology (A=2, B=4=2x2, C=6=2x3, ... , Y=50=2x25, Z=52=2x26)
 Papa Benedictum XVI = 650 + 16 = 666 (Papa Benedictum XVI = 650) in Base 5 encoding with A=5, B=10=5x2, C=15=5x3, ... , Y=125=5x25, Z=130=5x26.
 In French, Benoît XVI = Benoît 16 = 650 + 16 = 666 in Base 10 numerology where A=10, B=20=10x2, C=30=10x3, ... , Y=250=10x25, Z=260=10x26.
 Pope Benedict = 666 in Starter 47 encoding: A=47, B=48, C=49, ... , Y=71, Z=72.
 Benedict the Sixteenth = 1776 in Suite A0 numerology, with 1776 x (3/8) = 666
In Suite A1 or s_{1} encoding, the values of letters of the alphabet are sums of series s_{1}: A = 1, B=(1+2) = 3, C=(1+2+3) = 6, D=(1+2+3+4) = 10, ..., Z=(1+2+3+4+ ... +25+26) = 351. So, the numerology Suite A0 ou s_{0} is defined with link to A1 by s_{0} = s_{1}  1; that means A = 0, B=(0+2) = 2, C=(0+2+3) = 5, D=(0+2+3+4) = 9, ..., Z=(0+2+3+4+ ... +25+26) = 350.
 Pape Benoît seize (French for Pope Benedict the Sixteenth) = 666 in Enochian 1 numerology, where: A=6 B=5 C=300 D=4 E=7 F=300 G=9 H=1 I=60 J=60 K=300 L=40 M=90 N=50 O=30 P=8 Q=40 R=100 S=10 T=400 U=70 V=70 W=70 X=400 Y=60 Z=1. This Enochian encoding is based on esoteric "Golden Dawn" from "The Complete Golden Dawn System of Magic", v.10, p.140.

Vatican News Paper Osservatore Romano announces the election of Benedictum XVI

Source: REUTERS / Max Rossi Pope Benedict XVI greets the crowd from the central balcony of St. Peter's Basilica at the Vatican, Tuesday, April 19, 2005
