Reply 
Message 1 of 88 on the subject 



Reply 
Message 74 of 88 on the subject 



Reply 
Message 75 of 88 on the subject 

LLAVE DE ORO Y DE PLATA AL IGUAL QUE LA MANZANA
Incendio Notre Dame: Última hora de la catedral de París (15 DE ABRIL)
Incendio Notre Dame (París), en directo (Bertrand Guay / AFP)
PHI A NOTREDAME
A la catredal de Notre Dame hi observem més rectanlges auris: Creat per Mario Pastor
The DaVinci Code, Notre Dame Cathedral from DaVinci Code
original movie prop
August 23, 2018/
The Golden Section (aka Golden Mean, and Golden Ratio) phys.org
We use math in architecture on a daily basis to solve problems. We use it to achieve both functional and aesthetic advantages. By applying math to our architectural designs through the use of the Golden Section and other mathematical principles, we can achieve harmony and balance. As you will see from some of the examples below, the application of mathematical principles can result in beautiful and longlasting architecture which has passed the test of time.
Using Math in Architecture for Function and Form
We use math in architecture every day at our office. For example, we use math to calculate the area of a building site or office space. Math helps us to determine the volume of gravel or soil that is needed to fill a hole. We rely on math when designing safe building structures and bridges by calculating loads and spans. Math also helps us to determine the best material to use for a structure, such as wood, concrete, or steel.
“Without mathematics there is no art.” – Luca Pacioli, De divina proportione, 1509
Architects also use math when making aesthetic decisions. For instance, we use numbers to achieve attractive proportion and harmony. This may seem counterintuitive, but architects routinely apply a combination of math, science, and art to create attractive and functional structures. One example of this is when we use math to achieve harmony and proportion by applying a wellknown principle called the Golden Section
Math and Proportion – The Golden Section
Perfect proportions of the human body – The Vitruvian Man – by Leonardo da Vinci.
We tend to think of beauty as purely subjective, but that is not necessarily the case. There is a relationship between math and beauty. By applying math to our architectural designs through the use of the Golden Section and other mathematical principles, we can achieve harmony and balance.
The Golden Section is one example of a mathematical principle that is believed to result in pleasing proportions. It was mentioned in the works of the Greek mathematician Euclid, the father of geometry. Since the 4^{th} century, artists and architects have applied the Golden Section to their work.
The Golden Section is a rectangular form that, when cut in half or doubled, results in the same proportion as the original form. The proportions are 1: the square root of 2 (1.414) It is one of many mathematical principles that architects use to bring beautiful proportion to their designs.
Examples of the Golden Section are found extensively in nature, including the human body. The influential author Vitruvius asserted that the best designs are based on the perfect proportions of the human body.
Over the years many wellknown artists and architects, such as Leonardo da Vinci and Michelangelo, used the Golden Section to define the dimensions and proportions in their works. For example, you can see the Golden Section demonstrated in DaVinci’s painting Mona Lisa and his drawing Vitruvian Man.
Famous Buildings Influenced by Mathematical Principles
Here are some examples of famous buildings universally recognized for their beauty. We believe their architects used math and the principals of the Golden Section in their design:
Parthenon
The classical Doric columned Parthenon was built on the Acropolis between 447 and 432 BC. It was designed by the architects Iktinos and Kallikrates. The temple had two rooms to shelter a gold and ivory statue of the goddess Athena and her treasure. Visitors to the Parthenon viewed the statue and temple from the outside. The refined exterior is recognized for its proportional harmony which has influenced generations of designers. The pediment and frieze were decorated with sculpted scenes of Athena, the Gods, and heroes.
Parthenon Golden Section
Notre Dame Cathedral in Paris
Built on the Ile de la Cite, Notre Dame was built on the site of two earlier churches. The foundation stone was laid by Pope Alexander III in 1163. The stone building demonstrates various styles of architecture, due to the fact that construction occurred for over 300 years. It is predominantly French Gothic, but also has elements of Renaissance and Naturalism. The cathedral interior is 427 feet x 157 feet in plan. The two Gothic towers on the west façade are 223 feet high. They were intended to be crowned by spires, but the spires were never built. The cathedral is especially loved for its three stained glass rose windows and daring flying buttresses. During the Revolution, the building was extensively damaged and was saved from demolition by the emperor Napoleon.
Notre Dame Cathedral in Paris
Taj Mahal
Built in Agra between 1631 and 1648, the Taj Mahal is a white marble mausoleum designed by UstadAhmad Lahori. This jewel of Indian architecture was built by Emperor Shah Jahan in memory of his favorite wife. Additional buildings and elements were completed in 1653. The square tomb is raised and is dramatically located at the end of a formal garden. On the interior, the tomb chamber is octagonal and is surrounded by hallways and four corner rooms. Building materials are brick and lime veneered with marble and sandstone.
Taj Mahal designed by UstadAhmad Lahori
As you can see from the above examples, the application of mathematical principles can result in some pretty amazing architecture. The architects’ work reflects eyecatching harmony and balance. Although these buildings are all quite old, their designs have pleasing proportions which have truly passed the test of time.
https://bleckarchitects.com/mathinarchitecture/





Reply 
Message 76 of 88 on the subject 



Reply 
Message 77 of 88 on the subject 



Reply 
Message 78 of 88 on the subject 



Reply 
Message 79 of 88 on the subject 

Thanks for all the tips mentioned in this article! it’s always good to read things you have heard before and are implementing, but from a different perspective, always pick up some extra bits of information.



Reply 
Message 80 of 88 on the subject 

I would like to thank you for the high level and informative article with us. I hope you and we will sharing more idea's and the keep writing more like this one.



Reply 
Message 81 of 88 on the subject 



Reply 
Message 82 of 88 on the subject 



Reply 
Message 83 of 88 on the subject 

This is really an amazing article. Your article is really good and your article has always good content with a good powerpoint with informative information.



Reply 
Message 84 of 88 on the subject 



Reply 
Message 85 of 88 on the subject 



Reply 
Message 86 of 88 on the subject 

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/fibonacci24pattern/ 


Reply 
Message 87 of 88 on the subject 

https://es.wikipedia.org/wiki/Albert_Einstein
Albert Einstein (en alemán [ˈalbɛɐ̯t ˈaɪnʃtaɪn]; Ulm, Imperio alemán, 14 de marzo de ... En 1915 presentó la teoría de la relatividad general, en la que reformuló por completo el concepto de gravedad. ...... Einstein, Albert (1905e) [manuscrito recibido 27 de septiembre 1905], «Ist die Trägheit eines Körpers von seinem ...
rpp.pe › Lima
27 sep. 2015  ... primera vez su Teoría de la Relatividad Especial, también llamada restringida; y en 1960, muere el ... 27 de septiembre del 2015  12:01 AM ...
ar.tuhistory.com/etiquetas/teoriadelarelatividad
Albert Einstein publica la teoría general de la relatividad ... De la teoría especial de la relatividad se deduce su famosa ecuación E=mc2, ... 27091905 D.C..
https://www.gabitos.com/DESENMASCARANDO_LAS_FALSAS.../template.php?...
7 ene. 2014  En 1905 Einstein publicó su teoría de la relatividad especial, que ...... Einstein presentó a los editores de Annalen el 27 de septiembre del ...
MATT 16:18 is an in your face glyph for the golden mean ratio 1.618
(“MATT” is pun of “MATTER”)
Golden Mean ratio of 1.618
The Golden Mean and the Equilateral Triangle in a Circle; THE CRUCIAL FACT IS THE MIDPOINT OF THE TRIANGLE SIDE
Star Tetrahedron, formed by the MIDPOINTS OF THE CENTRAL EQUILATERAL TRIANGLE (the blue and rose colored lines indicate these midpoint halves)
Saint Mary Magdalene in Venice
A closer look
the Apple



Reply 
Message 88 of 88 on the subject 



First
Previous
74 a 88 de 88
Next
Last
