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 Reply Message 1 of 187 on the subject
 From: BARILOCHENSE6999  (Original message) Sent: 16/10/2012 20:33

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 Reply Message 173 of 187 on the subject
 From: BARILOCHENSE6999 Sent: 03/07/2019 19:37

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 Reply Message 176 of 187 on the subject
 From: BARILOCHENSE6999 Sent: 28/10/2019 17:45

# Fibonacci 60 Repeating Pattern

The last digit of the numbers in the Fibonacci Sequence form a pattern that repeats after every 60th number:

0, 1, 1, 2, 3, 5, 8, 3, 1, 4, 5, 9, 4, 3, 7, 0, 7, 7, 4, 1, 5, 6, 1, 7, 8, 5, 3, 8, 1, 9, 0, 9, 9, 8, 7, 5, 2, 7, 9, 6, 5, 1, 6, 7, 3, 0, 3, 3, 6, 9, 5, 4, 9, 3, 2, 5, 7, 2, 9, 1

This pattern can be seen in the following list of the first 72 Fibonacci numbers:

 0 0 1 1 2 1 3 2 4 3 5 5 6 8 7 13 8 21 9 34 10 55 11 89 12 144 13 233 14 377 15 610 16 987 17 1,597 18 2,584 19 4,181 20 6,765 21 10,946 22 17,711 23 28,657 24 46,368 25 75,025 26 121,393 27 196,418 28 317,811 29 514,229 30 832,040 31 1,346,269 32 2,178,309 33 3,524,578 34 5,702,887 35 9,227,465 36 14,930,352 37 24,157,817 38 39,088,169 39 63,245,986 40 102,334,155 41 165,580,141 42 267,914,296 43 433,494,437 44 701,408,733 45 1,134,903,170 46 1,836,311,903 47 2,971,215,073 48 4,807,526,976 49 7,778,742,049 50 12,586,269,025 51 20,365,011,074 52 32,951,280,099 53 53,316,291,173 54 86,267,571,272 55 139,583,862,445 56 225,851,433,717 57 365,435,296,162 58 591,286,729,879 59 956,722,026,041 60 1,548,008,755,920 61 2,504,730,781,961 62 4,052,739,537,881 63 6,557,470,319,842 64 10,610,209,857,723 65 17,167,680,177,565 66 27,777,890,035,288 67 44,945,570,212,853 68 72,723,460,248,141 69 117,669,030,460,994 70 190,392,490,709,135 71 308,061,521,170,129 72 498,454,011,879,264

Lucien Khan arranged these 60 digits of the pattern in a circle, as shown in illustration below:

Here he found other interesting results:

• The zeros align with the 4 cardinal points on a compass.
• The fives align with the 8 other points of the 12 points on a clock.
• Except for the zeros, the number directly opposite each number adds to 10.

Lucien postulates that ancient knowledge of these relationships contributed to the development of our modern use of 60 minutes in an hour, and presentation of numbers on the face of the clock.

I found too that any group of four numbers that are 90 degrees from each other (15 away from each other in the circle) sum to 20, except again for the zeros. As an example, use 1, 7, 9 and 3, which appear one to the right of each of the compass points.

Additionally, every group of five numbers that define the points of the 12 pentagons on the circle also create a pattern. Four of the pentagons have even-numbered last digits of 0, 2, 4, 6, and 8. The remaining eight pentagons have odd-numbered last digits of 1, 3, 5, 7 and 9.

Another interesting pattern yet was observed by Lucien Khan: The 216th number is this sequence is 619220451666590135228675387863297874269396512. The sum of all the digits in that number add up to 216, as well. He notes that it is believed that the secret or hidden name of God contains 216 characters. There are many other fascinating relationships and sacred geometries, which are presented by Lucien Khan in more detail at the links below.

https://www.goldennumber.net/fibonacci-60-repeating-pattern/

 Reply Message 177 of 187 on the subject
 From: BARILOCHENSE6999 Sent: 07/11/2019 17:54

# Nebulosa Cabeza de Caballo

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Nebulosa Cabeza de Caballo

 Reply Message 178 of 187 on the subject
 From: BARILOCHENSE6999 Sent: 09/11/2019 20:10

 Reply Message 179 of 187 on the subject
 From: BARILOCHENSE6999 Sent: 30/11/2019 16:58

# Nebulosa Cabeza de Caballo

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Nebulosa Cabeza de Caballo

Statue of Liberty

The height of the Statue of Liberty is 111′-1″ from bottom of foot to top of head. The 7 rays on the crown and the 11 points of the base star echo the proportions of the Great Pyramid’s 7:11 height to base proportion. The superb book Talisman by Graham Hancock and Robert Bauval convincingly shows this goddess is actually the Egyptian Isis.

Image courtesy Elcobbola under the Creative Commons Attribution-Share Alike 3.0 Unported license.

http://www.viewzone.com/onstott66.html

hace 3 días - Manipularon la historia a través de las fuentes de los textos en su lenguaje inventado llamado Latín, peeeeero no pudieron cambiar el ... Jose Alfonso Hernando ... la famosa batalla de Troya, y HASTA AHÍ NOS VAMOS PARA VER QUE ... “Las matemáticas nos hacen más libres y menos manipulables”.
hace 3 días - Principal / Valdeande Magico / ¡¡¡ Visitamos TROYES, donde fue la Guerra de Troya !!! ¡¡¡ Visitamos TROYES, donde fue la Guerra de Troya !!!

Troyes is the former capital of Champagne and is a perfect short trip visit from Paris. At just an hour and a half by train it can be a day trip but a couple of days and an overnight stay would be better because there’s so much to see and do in this lovely, vibrant city.

### A town that is shaped like a Champagne cork in Champagne?

Troyes is an ancient city, once a Roman town with a direct road from Milan and onwards to Boulogne-sur-Mer on the Opal Coast in the north of France – the route for the invasion of Britain. Later the rich and powerful Counts of Champagne built a palace in Troyes and it was a prosperous place that attracted merchants from all over Europe. The counts fortified their town and though at that time Champagne didn’t even exist, the walls took the form of a Champagne cork.

Following a huge fire in 1524 that destroyed many of the ancient buildings that were constructed from wood, new brick buildings were erected and many of them remain to this day. Indeed the inhabitants of Troyes lived in these buildings pretty much as they had been for hundreds of years right up until the 1950s. It was a decade when the town council went on a bit of a renovation rampage to improve conditions since many of the old buildings had no bathrooms and poor hygiene conditions.

Fortunately they didn’t destroy too much and visiting Troyes is like stepping back in time. Every street seems to have its quota of half-timbered houses and there are cobbled streets and tiny alleyways that create a mesmerising maze in the centre of the old town of Troyes.  In the little ruelle des Chats (Cats Alley) you’ll see it is so narrow that the houses lean in and touch via a central gutter at the top and cats could cross from houses on both sides of the roads. At the side of the office of the Mutuelle Societe at 111 rue Emile Zola you can enter a gate and at the back you’ll discover a stunning renaissance house looking exactly as it did when it was built. At the Cour du Mortier d’or, the ancient timber frames still bear the workman’s trademarks.

Everywhere you go here you’ll discover traces of history from hundreds of years ago, quaint, quirky and irresistibly charming…

Read the rest of this story in our free magazine – click here to go straight to it!

 Reply Message 180 of 187 on the subject
 From: BARILOCHENSE6999 Sent: 04/12/2019 20:01

 Reply Message 181 of 187 on the subject
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 Reply Message 182 of 187 on the subject
 From: BARILOCHENSE6999 Sent: 25/11/2020 22:12

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 From: BARILOCHENSE6999 Sent: 26/11/2020 16:57

# Phi, the Golden Ratio and Geometry

## Golden ratios appears in many geometric constructions, including triangles and squares in circles, the pentagon and also in solids such as the dodecahedron.

 Respuesta Ocultar Mensaje Eliminar Mensaje Mensaje 9 de 57 en el tema

# Ancient Metrology - Numbers Don't Lie - World Mysteries Blog

## A. Sokolowski There is an underlying order in Cosmos. Our ancestors discovered it in ancient times and expressed it in their writings and monuments. This article is an invitation to all our visitor to explore and expand this subject. Please share facts that should be mentioned here (via comments and/or e-mail) – if you are […]

https://ar.pinterest.com/pin/444026844510426438/

 Respuesta Ocultar Mensaje Eliminar Mensaje Mensaje 10 de 57 en el tema

## 3 Phi and Triangles

### 3.1 Phi and the Equilateral Triangle

Chris and Penny at Regina University's Math Central (Canada) show how we can use any circle to construct on it a hexagon and an equilateral triangle. Joining three pairs of points then reveals a line and its golden section point as follows:
1. On any circle (centre O), construct the 6 equally spaced points A, B, C, D, E and F on its circumference without altering your compasses, so they are the same distance apart as the radius of the circle. ABCDEF forms a regular hexagon.
2. Choose every other point to make an equilateral triangle ACE.
3. On two of the sides of that triangle (AE and AC), mark their mid-points P and Q by joining the centre O to two of the unused points of the hexagon (F and B).
4. The line PQ is then extended to meet the circle at point R.
Q is the golden section point of the line PR.
Q is a gold point of PR
The proof of this is left to you because it is a nice exercise either using coordinate geometry and the equation of the circle and the line PQ to find their point of intersection or else using plane geometry to find the lengths PR and QR.

The diagram on the left has many golden sections and yet contains only equilateral triangles. Can you make your own design based on this principle?

Chris and Penny's page shows how to continue using your compasses to make a pentagon with QR as one side.

•  Equilateral Triangles and the Golden ratio J F Rigby, Mathematical Gazette vol 72 (1988), pages 27-30.
http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/phi2DGeomTrig.html

 Respuesta Ocultar Mensaje Eliminar Mensaje Mensaje 11 de 57 en el tema

# A perfect ratio? The golden ratio and tips for your DIY projects

## The golden ratio can be found throughout nature and in architecture and art throughout history. Learn about it before you start your next DIY project

https://www.pinterest.co.uk/pin/399694535649481919/?d=t&mt=signup

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 Reply Message 184 of 187 on the subject
 From: BARILOCHENSE6999 Sent: 26/11/2020 17:20
 22/7=DAY OF MARY MAGDALENE

 Respuesta Ocultar Mensaje Eliminar Mensaje Mensaje 27 de 57 en el tema

## La Maddalena: Venice’s mysterious masonic church

Modelled on the Roman Pantheon, the tiny church of Santa Maria della Maddalena, or simply La Maddalena, is a Venetian mystery. Perhaps its most notable feature are the masonic symbols above the door. The all-seeing eye inside an interlocking circle and triangle is one of the symbols of freemasonry and both the church’s architect and patron were freemasons. The mystery is amplified by the fact that the church is almost always closed to visitors – so much so that I’ve never seen the inside.

The 18th-century neoclassical edifice we see today is the work of Venetian architect Tommaso Temanza who entirely rebuilt an earlier church using a circular plan inspired by the Pantheon in Rome. The Roman Pantheon itself, one of the best preserved buildings of the antiquity, is a special design echoed by the much later symbols of freemasonry. It incorporates a circular wall plan and a rectangular portico while its circular dome has an eye-like opening in the centre of the roof called an oculus.

La Maddalena’s site, owned by the patrician Balbo (or Baffo) family, had a church as early as the 13th century. There is some evidence of the family’s association with the Knights Templar. In the 18th century, Venice had an influential fraternity of freemasons whose members also included the famous adventurer Giacomo Casanova. The owners of the old religious site who were also affiliated to the freemasonry contracted Temanza, also a member of the fraternity, to build a masonic church in Venice.

Judging by the symbol of the all-seeing eye above La Maddalena’s entrance and its Latin inscription attributed to Solomon: Sapientia edificavit sibi domum (“Wisdom has built a home for itself”), Temanza was also a dabbler in the same undercurrent of esoteric freemasonry as Mozart. The architect is buried inside the church and his headstone is apparently decorated with a line and set of compasses, the most common symbol of the freemasons whose members would see themselves as ‘builders’.

It is also no surprise that this peculiar small masonic church is dedicated to Mary Magdalene. Despite being the first witness to Christ’s resurrection, she is more commonly remembered as a reformed prostitute. This mysterious figure, sometimes rejected by the church, was instead beloved by the freemasonry whose members considered her a symbol of wisdom and the struggle against the obscurantism of the church. With her church in Venice almost never open to visitors, this struggle is apparently real.

 Reply Message 185 of 187 on the subject
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