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General: 24 HORAS=SECUENCIA DE FIBONACCI=NUMERO DE ORO 1.618=SANTA CENA=666
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Fibonacci 24 Repeating Pattern
May 15, 2012 by Gary Meisner
The Fibonacci sequence has a pattern that repeats every 24 numbers.
Numeric reduction is a technique used in analysis of numbers in which all the digits of a number are added together until only one digit remains. As an example, the numeric reduction of 256 is 4 because 2+5+6=13 and 1+3=4.
Applying numeric reduction to the Fibonacci series produces an infinite series of 24 repeating digits:
1, 1, 2, 3, 5, 8, 4, 3, 7, 1, 8, 9, 8, 8, 7, 6, 4, 1, 5, 6, 2, 8, 1, 9
If you take the first 12 digits and add them to the second twelve digits and apply numeric reduction to the result, you find that they all have a value of 9.
| 1st 12 numbers |
1 |
1 |
2 |
3 |
5 |
8 |
4 |
3 |
7 |
1 |
8 |
9 |
| 2nd 12 numbers |
8 |
8 |
7 |
6 |
4 |
1 |
5 |
6 |
2 |
8 |
1 |
9 |
| Numeric reduction – Add rows 1 and 2 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
18 |
| Final numeric reduction – Add digits of result |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
This pattern was contributed both by Joseph Turbeville and then again by a mathematician by the name of Jain.
We would expect a pattern to exist in the Fibonacci series since each number in the series encodes the sum of the previous two. What’s not quite so obvious is why this pattern should repeat every 24 numbers or why the first and last half of the series should all add to 9.
For those of you from the “Show Me” state, this pattern of 24 digits is demonstrated in the numeric reduction of the first 73 numbers of the Fibonacci series, as shown below:
|
Fibonacci Number
|
Numeric reduction by adding digits |
| 1st Level |
2nd Level |
Final Level |
| Example: 2,584 |
2+5+8+4=19 |
1+9=10 |
1+0=1 |
| 0 |
0 |
0 |
0 |
| 1 |
1 |
1 |
1 |
| 1 |
1 |
1 |
1 |
| 2 |
2 |
2 |
2 |
| 3 |
3 |
3 |
3 |
| 5 |
5 |
5 |
5 |
| 8 |
8 |
8 |
8 |
| 13 |
4 |
4 |
4 |
| 21 |
3 |
3 |
3 |
| 34 |
7 |
7 |
7 |
| 55 |
10 |
1 |
1 |
| 89 |
17 |
8 |
8 |
| 144 |
9 |
9 |
9 |
| 233 |
8 |
8 |
8 |
| 377 |
17 |
8 |
8 |
| 610 |
7 |
7 |
7 |
| 987 |
24 |
6 |
6 |
| 1,597 |
22 |
4 |
4 |
| 2,584 |
19 |
10 |
1 |
| 4,181 |
14 |
5 |
5 |
| 6,765 |
24 |
6 |
6 |
| 10,946 |
20 |
2 |
2 |
| 17,711 |
17 |
8 |
8 |
| 28,657 |
28 |
10 |
1 |
| 46,368 |
27 |
9 |
9 |
| 75,025 |
19 |
10 |
1 |
| 121,393 |
19 |
10 |
1 |
| 196,418 |
29 |
11 |
2 |
| 317,811 |
21 |
3 |
3 |
| 514,229 |
23 |
5 |
5 |
| 832,040 |
17 |
8 |
8 |
| 1,346,269 |
31 |
4 |
4 |
| 2,178,309 |
30 |
3 |
3 |
| 3,524,578 |
34 |
7 |
7 |
| 5,702,887 |
37 |
10 |
1 |
| 9,227,465 |
35 |
8 |
8 |
| 14,930,352 |
27 |
9 |
9 |
| 24,157,817 |
35 |
8 |
8 |
| 39,088,169 |
44 |
8 |
8 |
| 63,245,986 |
43 |
7 |
7 |
| 102,334,155 |
24 |
6 |
6 |
| 165,580,141 |
31 |
4 |
4 |
| 267,914,296 |
46 |
10 |
1 |
| 433,494,437 |
41 |
5 |
5 |
| 701,408,733 |
33 |
6 |
6 |
| 1,134,903,170 |
29 |
11 |
2 |
| 1,836,311,903 |
35 |
8 |
8 |
| 2,971,215,073 |
37 |
10 |
1 |
| 4,807,526,976 |
54 |
9 |
9 |
| 7,778,742,049 |
55 |
10 |
1 |
| 12,586,269,025 |
46 |
10 |
1 |
| 20,365,011,074 |
29 |
11 |
2 |
| 32,951,280,099 |
48 |
12 |
3 |
| 53,316,291,173 |
41 |
5 |
5 |
| 86,267,571,272 |
53 |
8 |
8 |
| 139,583,862,445 |
58 |
13 |
4 |
| 225,851,433,717 |
48 |
12 |
3 |
| 365,435,296,162 |
52 |
7 |
7 |
| 591,286,729,879 |
73 |
10 |
1 |
| 956,722,026,041 |
44 |
8 |
8 |
| 1,548,008,755,920 |
54 |
9 |
9 |
| 2,504,730,781,961 |
53 |
8 |
8 |
| 4,052,739,537,881 |
62 |
8 |
8 |
| 6,557,470,319,842 |
61 |
7 |
7 |
| 10,610,209,857,723 |
51 |
6 |
6 |
| 17,167,680,177,565 |
67 |
13 |
4 |
| 27,777,890,035,288 |
73 |
10 |
1 |
| 44,945,570,212,853 |
59 |
14 |
5 |
| 72,723,460,248,141 |
51 |
6 |
6 |
| 117,669,030,460,994 |
65 |
11 |
2 |
| 190,392,490,709,135 |
62 |
8 |
8 |
| 308,061,521,170,129 |
46 |
10 |
1 |
| 498,454,011,879,264 |
72 |
9 |
9 |
Thanks to Joseph Turbeville for sending “A Glimmer of Light from the Eye of a Giant” and to Helga Hertsig for bringing Jain’s discovery of this pattern to my attention.
Filed Under: Math
https://www.goldennumber.net/fibonacci-24-pattern/ |
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1/3-24/3 =24 DIAS
25/3-17/4=48 DIAS
18/4-11/5=72 DIAS
12/5-4/6 =96 DIAS
5/6-28/6 =144 DIAS (6.28=2X3.14) NEXO CON EL RADIAN
29/6-22/7=168 DIAS (DIA DE MARIA MAGDALENA 24X6)
23/7-15/8=192 DIAS (ASUNCION DE LA VIRGEN=227 GREGORIANO)
16/8-8/9 =216 DIAS (24X8 FIESTA DE LOS TABERNACULOS)
¿PORQUE LA CONEXION CON CHOLULA?
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1/3-24/3 =24 DIAS
25/3-17/4=48 DIAS
18/4-11/5=72 DIAS
12/5-4/6 =96 DIAS=24*4
5/6-28/6 =120 DIAS (RADIAN=6.28)=24*5
29/6-22/7= 144 DIAS (DIA DE MARIA MAGDALENA 24X6)=HOLY WEEK/HOLY FRIDAY=24*6 REVELATION 21:17
23/7-15/8=168 DIAS (ASUNCION DE LA VIRGEN=227 GREGORIANO)=24*7
16/8-8/9 =192 DIAS =24*8
9/9-2/10= 216 DIAS =24*9
3/10-26/10=240 DIAS=24*10
27/10-19/11=264 DIAS=24*11
20/11-13/12=288 DIAS=24*12
14/12-6/1=312 DIAS=24*13 REYES MAGOS
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Modo IA Todo Imágenes Vídeos Noticias Maps Shopping Libros Vuelos Finance 4 sitios El alunizaje del Apolo 11 a las 16:17:40 (aproximadamente 16:18) hora argentina del 20 de julio de 1969 no tiene ninguna relación causal, científica ni planificada con el número de oro ( ). La coincidencia aparente entre el minuto 18 (o el valor 16:18) y los primeros dígitos de la proporción áurea ( ) es puramente un fenómeno de apofenia, que es la tendencia humana de encontrar patrones o conexiones en datos aleatorios. 1. Factores reales del horario de alunizaje El momento exacto en que el módulo Eagle tocó la superficie lunar se debió estrictamente a razones mecánicas y astronómicas: Ventana de lanzamiento: La Tierra y la Luna debían estar en una posición orbital óptima. Condiciones de iluminación: Se necesitaba que el Sol estuviera entre y por encima del horizonte lunar para que los astronautas tuvieran sombras claras que les permitieran ver los cráteres y el relieve al descender. Consumo de combustible: Neil Armstrong tuvo que prolongar manualmente el vuelo unos segundos para esquivar un cráter rocoso, alterando el segundo exacto del alunizaje de forma imprevista. 2. El factor del huso horario La relación numérica se rompe por completo cuando cambiamos de país, ya que las horas son una convención humana basada en zonas geográficas: En la hora oficial de la misión (Tiempo Universal Coordinado o UTC), el alunizaje ocurrió a las 20:17:40. En la hora de Houston (CDT), base de la NASA, ocurrió a las 15:17:40. Solo en zonas horarias específicas que en ese momento usaban el huso UTC-4 (como la Argentina de 1969 en su horario de invierno) el reloj marcaba las 16:17:40. 3. El mito de la proporción áurea en el tiempo El número de oro es una constante matemática adimensional ( ). Aplicar esta proporción a un sistema de medición del tiempo creado por el hombre (el formato de 24 horas y 60 minutos) no posee un fundamento físico. Si el ser humano contara el tiempo en base decimal o si la velocidad de rotación de la Tierra fuera distinta, los números del reloj serían completamente diferentes, pero el evento astronómico habría ocurrido exactamente en el mismo instante del cosmos. ✅ Conclusión El alunizaje del Apolo 11 ocurrió a las 16:17:40 en Argentina debido a leyes de la mecánica celeste, la trayectoria del cohete y decisiones de pilotaje en tiempo real. La cercanía con el número es una coincidencia numérica curiosa basada en el huso horario local, no una conexión matemática o mística real. Si te interesa, podemos explorar cómo calculó la NASA la trayectoria original de la misión o los principios matemáticos reales donde sí se aplica el número de oro en la naturaleza. ¿Hacia dónde prefierís orientar la explicación? Here is the English translation of the previous message: The Apollo 11 moon landing at 16:17:40 (approximately 16:18) Argentine time on July 20, 1969, has no causal, scientific, or planned relationship with the golden ratio (φ ≈ 1.618). The apparent coincidence between the 18th minute (or the value 16:18) and the first digits of the golden ratio (1.618) is purely a phenomenon of apophenia, which is the human tendency to find patterns or connections in random data. 1. Real factors behind the landing time The exact moment the Eagle module touched the lunar surface was strictly due to mechanical and astronomical reasons: Launch window: The Earth and the Moon had to be in an optimal orbital position. Lighting conditions: The Sun needed to be between 5° and 14° above the lunar horizon so the astronauts had clear shadows to see craters and terrain features during descent. Fuel consumption: Neil Armstrong had to manually extend the flight by a few seconds to avoid a rocky crater, unexpectedly altering the exact second of the landing. 2. The time zone factor The numerical relationship breaks down completely when you switch countries, as hours are a human convention based on geographical zones: In the mission's official time (Coordinated Universal Time or UTC), the landing occurred at 20:17:40. In Houston time (CDT), the NASA base, it occurred at 15:17:40. Only in specific time zones using the UTC-4 offset at that time (such as Argentina's winter time in 1969) did the clock read 16:17:40. 3. The myth of the golden ratio in time The golden ratio is a dimensionless mathematical constant ( ). Applying this ratio to a human-made time measurement system (the 24-hour, 60-minute format) has no physical basis. If humans counted time using a decimal system or if the Earth's rotation speed were different, the numbers on the clock would be completely different, yet the astronomical event would have occurred at the exact same cosmic instant. ✅ Conclusion The Apollo 11 moon landing occurred at 16:17:40 in Argentina due to the laws of celestial mechanics, the rocket's trajectory, and real-time piloting decisions. The proximity to the number 1.618 is a curious numerical coincidence based on the local time zone, not a real mathematical or mystical connection. If you'd like, I can translate any other specific text or explain how NASA calculated the spacecraft's orbital path. Would you like to explore the math behind space travel next? La respuesta del Modo IA está lista |
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Modo IA Todo Imágenes Vídeos Noticias Maps Shopping Libros Vuelos Finance 1 sitio There are exactly 144 days from March 1st to July 22nd when counting inclusively (including both the start and end dates), which directly matches the 12th Fibonacci number ( ), a number deeply tied to mathematics, geometry, time cycles, and numerology. The connection between this calendar span, the number 144, and the Fibonacci sequence stems from the overlapping properties of base-12 mathematics, solar time cycles, and the Fibonacci modulo 24 cycle (the Kotov / Fibonacci clock). Here is the structured breakdown of why this connection exists across the calendar, mathematics, and time cycles. 1. Calendar Calculation Breakdown The count of 144 days relies on an inclusive counting method across these specific months: March: 31 days April: 30 days May: 31 days June: 30 days July: 22 days Total Calculation: days. (Note: Because this period starts after February, this 144-day span remains exactly the same during both standard and leap years). 2. The Fibonacci Sequence and In the standard Fibonacci sequence ( starting with ): The sequence flows: . Therefore, is the 12th Fibonacci number ( ). It is the only perfect square (greater than 1) in the entire Fibonacci sequence ( ). 3. The 24-Hour Connection (The Fibonacci Clock) The connection to the 24-hour cycle comes from reducing the Fibonacci sequence using digital roots (reducing numbers to a single digit by adding them) or by taking the sequence modulo 9 or modulo 24: The 24-Pattern (Fibonacci Mod 10 or Mod 24): If you look at the last digits of Fibonacci numbers, they repeat every 60 numbers. However, if you look at their digital roots (summing digits until a single digit remains), the pattern repeats in a perfect 24-step cycle. The Clock Geometry: This 24-step repeating pattern maps perfectly onto a 24-hour clock or a double 12-hour clock face. Where 144 Fits: Because is (or ), it represents a clean harmonic midpoint and completion within a 24-hour structure. In modular arithmetic, , meaning 144 hours or days fit perfectly into full, unbroken 24-hour daily rotations without any remainder. 4. Why This Connection Exists The connection is an intersection of human timekeeping design and natural mathematics: Base-12 Design: Humanity structured the calendar (12 months) and time (24 hours, ) around highly divisible numbers like 12 and 60 (highly composite numbers). Mathematical Synchronicities: Because our calendar months hover around an average of 30 days, choosing specific intervals like March 1st to July 22nd naturally yields highly composite totals like 144. Esoteric Context: In various numerological and historical systems, 144 is considered a number of "completion" (e.g., in various ancient texts), representing the synchronization of solar days with sacred geometry. ✅ Summary of the Result From March 1st to July 22nd, there are exactly 144 inclusive days, which represents the 12th Fibonacci number ( ) and a perfect mathematical harmony ( ) that cleanly aligns with the 24-hour daily cycle ( ). If you want to explore further, let me know if you would like me to: Map out the 24-step Fibonacci digital root cycle to visualize the clock pattern. Calculate other hidden Fibonacci intervals within our standard 365-day calendar. Explain the mathematical proof behind why 144 is the unique square in the sequence. Programando y reprogramando la sucesión de Fibonacci www.gersonlazaro.com La respuesta del Modo IA está lista |
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