This document provides a summary of a student's paper on the topic of the Golden Ratio and its use in Dan Brown's novel The Da Vinci Code. It discusses what the Golden Ratio is mathematically, its history and appearances in art, architecture and nature. It describes how Brown incorporated the Fibonacci sequence and Golden Ratio symbols in the plot of the novel. The conclusion discusses how mathematics and science have become part of literature.
Describe how golden ratio is used in making of finest structures. It present three paradigmatic case studies where Golden Mean rectangles allegedly apply in architecture: (i) The Parthenon in Athens; (ii) The United Nations Secretariat Building in New York City; and (iii) The Great Pyramid of Giza.
Describe how golden ratio is used in making of finest structures. It present three paradigmatic case studies where Golden Mean rectangles allegedly apply in architecture: (i) The Parthenon in Athens; (ii) The United Nations Secretariat Building in New York City; and (iii) The Great Pyramid of Giza.
Maths in Art and Architecture Why Maths? Comenius projectGosia Garkowska
THIS EBOOK WAS PREPARED
AS A PART OF THE COMENIUS PROJECT
WHY MATHS?
by the students and the teachers from:
BERKENBOOM HUMANIORA BOVENBOUW, IN SINT-NIKLAAS ( BELGIUM)
EUREKA SECONDARY SCHOOL IN KELLS (IRELAND)
LICEO CLASSICO STATALE CRISTOFORO COLOMBO IN GENOA (ITALY)
GIMNAZJUM IM. ANNY WAZÓWNY IN GOLUB-DOBRZYŃ (POLAND)
ESCOLA SECUNDARIA COM 3.º CICLO D. MANUEL I IN BEJA (PORTUGAL)
IES ÁLVAREZ CUBERO IN PRIEGO DE CÓRDOBA (SPAIN)
Mathematics and art have a long historical relationship. The Golden ratio, Geometric patterns, Fractals are all fascinating mathematical ideas that have inspired artists and architects for centuries, I am just exploring these ideas in this presentation
The tools of mathematics at the maximum applied part has continuously been utilized in an important manner in the formation of art and architecture. The straightedge and the lowly compass since the ancient times augmented by other craftsmen’s tools and simple draftsmen’s tools have been put into use for the creation of attractive projects comprehended in the beautification of cathedrals, fortresses and mosques and also in architecture (Gomez 1983). A testament to the imaginative use of ancient geometric knowledge is the intricate Moorish tessellations in crick, tile and stucco which decorate their structures and also the complex tracery of Gothic interiors and windows.
The golden ratio is about 1.618, and represented by the Greek letter phi.
The golden ratio is sometimes called the "divine proportion," because of its frequency in the natural world.
Maths in Art and Architecture Why Maths? Comenius projectGosia Garkowska
THIS EBOOK WAS PREPARED
AS A PART OF THE COMENIUS PROJECT
WHY MATHS?
by the students and the teachers from:
BERKENBOOM HUMANIORA BOVENBOUW, IN SINT-NIKLAAS ( BELGIUM)
EUREKA SECONDARY SCHOOL IN KELLS (IRELAND)
LICEO CLASSICO STATALE CRISTOFORO COLOMBO IN GENOA (ITALY)
GIMNAZJUM IM. ANNY WAZÓWNY IN GOLUB-DOBRZYŃ (POLAND)
ESCOLA SECUNDARIA COM 3.º CICLO D. MANUEL I IN BEJA (PORTUGAL)
IES ÁLVAREZ CUBERO IN PRIEGO DE CÓRDOBA (SPAIN)
Mathematics and art have a long historical relationship. The Golden ratio, Geometric patterns, Fractals are all fascinating mathematical ideas that have inspired artists and architects for centuries, I am just exploring these ideas in this presentation
The tools of mathematics at the maximum applied part has continuously been utilized in an important manner in the formation of art and architecture. The straightedge and the lowly compass since the ancient times augmented by other craftsmen’s tools and simple draftsmen’s tools have been put into use for the creation of attractive projects comprehended in the beautification of cathedrals, fortresses and mosques and also in architecture (Gomez 1983). A testament to the imaginative use of ancient geometric knowledge is the intricate Moorish tessellations in crick, tile and stucco which decorate their structures and also the complex tracery of Gothic interiors and windows.
The golden ratio is about 1.618, and represented by the Greek letter phi.
The golden ratio is sometimes called the "divine proportion," because of its frequency in the natural world.
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• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
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• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
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1. NAME : PANDYA MEHAL JITENDRABHAI
ROLL NO :13
SEM: 4
ENROLLMENT NO : 2069108420200029
SUBJECT : The New Literature
TOPIC : Golden Ratio and Da Vinci code
DATE :25/4/2021
BEACH -22019-2021
E-MAIL ID -MEHALPANDYA252@GMAIL.COM
SUBMITTED TO – DEPARTMENT OF ENGLISH
M. K. BHAVANAGAR UNIVERSITY
2. About Author and his work
Daniel Gerhard Brown (born June 22, 1964) is
an American author best known for his thriller .
Angels & Demons (2000),
The Da Vinci Code (2003)
The Lost Symbol (2009)
Inferno (2013)
Origin (2017).
Mostly in his work we can find the same
protagonist, Robert Langdon. His work is very
popular and specially Da Vinci code. This novel
criticised by people also.
3. ● Mystery
● History
● Myth
● Suspense
thriller
● Religion
● Mathematics
Da Vinci code2003
4. What is Golden Ratio?
Putting it as simply as we can, the Golden
Ratio.It is also known as the
Golden Section,
Golden Mean,
Divine Proportion or Greek letter Phi
Exists when a line is divided into two parts and the
longer part (a) divided by the smaller part (b) is equal
to the sum of (a) + (b) divided by (a), which both equal
1.618.
“Plato considered the golden section proportion the
most binding of all mathematical relations, making it
the key to the physics of the cosmos.”
5. Golden Ratio and its History
Some legends says Golden Ratio is discovered by Hippasus and according to
some legends it is discovered by Pythagoras. Hippasus is philosopher of
Pythagoras and he also founded irrational numbers.
The Golden Ratio is an irrational number that is approximately equal to 1.618,
which is represented by the Greek symbol known as phi (ϕ). The digits after
decimal in the Golden ratio just keep on going and never end as such
1.61803398874989484820 ... … When the ratio is used in cubic geometry, it
is called the Golden section. The Golden rectangle refers to a rectangle with
a short to long side ratio of 1: 1.618.
6. Con..
An interesting aspect of the Golden rectangle is that if one cuts out a square
starting from one of the short sides of the Golden rectangle one will have
another Golden rectangle. When an isosceles triangle has the ratio of the
perpendicular a to the base b in the Golden ratio, it is called a Golden
triangle. Similarly, there is the Golden spiral which grows logarithmically. It is
important to know that the geometrical shapes of the rectangle,triangle and
spiral get their “Golden” name when they have properties that connect them
back to the Golden ratio.
There was a keen interest in the Divine proportion during the Renaissance
among artists, architects, scientists and mystics. The idea of using the Golden
ratio in art and architecture was aesthetically pleasing and was widely
established during this time.
7. How 1.618….? Is golden ratio
1,1,2,3,5,8,13,21,34,55,89,144......
When you devide number in the series by the number before it, you
obtain number very close to one another that we can see above e
written numbers.
987/610=1.618
610/377=1.1618
377/233=1.1618
233/144=1.1618
144/89=1617
89/55=1618
This way 1.1618 is became a Golden ratio.
8. What is use of golden ratio /mathematics in
literature ?
● It is part of nature.
● It is used from ancient time.
● Using mathematics or science it
show that chosen characters are
very intelligent and intellectual.
9. Fibonacci sequence in Da Vinci code
If you take our Golden Ratio diagram above
and draw an arch in each square, from one
corner to the opposite corner, you will draw the
first curve of the Golden Spiral (or Fibonacci
Sequence) – a series in which the pattern of
each number is the sum of the previous two
numbers. Starting at zero, the sequence is: 0,
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144… and so
on.
10. This harmony and
proportion has been
recognized for thousands
of centuries: from the
Pyramids in Giza to the
Parthenon in Athens; from
Michelangelo’s The
Creation of Adam on the
ceiling of the Sistine
Chapel to Da Vinci’s Mona
Lisa.
11. Mathematical references in literature are abundant. A simple
use of mathematics is to show that a character has a high degree
of intelligence, as when Stieg Larsson's heroine, Lisbeth Salander,
in the midst of ongoing danger, solves Fermat's "Last Theorem"
using only the logical tools that would have been available to
Fermat in 1637.
At a somewhat higher level of use, a mathematical ecample
may he used as a plot development device. Dan Brown uses the
Fibonacci numbers this way in The Da Vinci Code. mathematics
appears in more subtle fashion as the maze-solving scheme used
by Brother William in Umberto Eco's The Name of the Rose. The
scheme in a "depth-first search algorithm" in computer- science
jargon, with an undertying mathematical justification.
12. Golden Pentagram
The regular pentagon consists of a number of wonderful
figures, which are widely used in works of art. The law of
the "golden cup" was well known in ancient Egypt and
classic Greece, which was used by architects and
goldsmiths. The Pentagon and Pentagram have Golden
relationships as shown in picture here. The ratio of the
side of a regular pentagon to its diagonal is φ. In the
condition, the pentagram is inscribed within the pentagon,
many of the ratios between segments are also φ. If a
pentagon is divided by diagonals from one vertex, the
resulting triangles are known as Golden triangles. The
middle triangle is an acute Golden triangle and the other
two are obtuse Golden triangles.
13. Golden Ratio and Nature
The Golden proportion as Golden spirals and Golden
pentagon are commonly present in nature. Plant and
animal worlds hold the abundance of Golden symmetry in
their form, internal and external both. It also related with
the human body. For example, animal horns grow only
from one end resulting on the equiangular spiral. It is
proved that among different kinds of spirals showing in
horns of rams, goats, antelopes and other horned
animals, the Golden spirals meet most often. The plant
tendrils become twisted by spirals, the growth of tissues
in tree's trunks is formed by spiral there, the sunflower
seeds appear on the spirals, the helical motions are
watched at growth of the roots and sprouts.
14. Conclusion
Golden ratio is not just lofty mathematical theory; it shows
up all the time in the real world. Likewise, graphic designer
can use Fibonacci sequence as a general guideline and
creative tool to make the design perfect.In modern time
there is many app for Golden Ratio and in art also we can
find use of it which we can see in the whole discussion.
Mathematics and science is also became a part of
literature. Golden Ratio, mathematics and science is used
by Dan Brown in Da Vinci code. In Art like painting of
Mona Lisa last supper.
15. Work citation
Bartlett, Christopher. “Decoding Fairfield Porter's July Interior.” American Art, vol. 21, no. 1, 2007,
pp. 98–105. JSTOR, www.jstor.org/stable/10.1086/518296. Accessed 24 Apr. 2021.
Brown, Dan. The Da Vinci Code. New York; Doubleday, April 2003. Print.
Campbell, Paul J. “Reviews.” Mathematics Magazine, vol. 68, no. 2, 1995, pp. 153–155. JSTOR,
www.jstor.org/stable/2691196. Accessed 24 Apr. 2021
Falbo, Clement. “The Golden Ratio: A Contrary Viewpoint.” The College Mathematics Journal, vol.
36, no. 2, 2005, pp. 123–134. JSTOR, www.jstor.org/stable/30044835. Accessed 24 Apr. 2021.
Helm , Joan . “Example of the use of the Golden Ratio in medivual Arthurian Literature.” Quondam
Et Futurus, vol. 9, no. 1/2, 1988, pp. 7–14. JSTOR, www.jstor.org/stable/27870035. Accessed 23
Apr. 2021.
Robert L. (1989). Scared goemetry: philosophy and practice, New York: Thames
and Hudson.