The golden ratio is a mathematical constant approximately equal to 1.6180339887. It is the ratio between two quantities where the ratio of the whole to the larger part is equal to the ratio of the larger part to the smaller part. The golden ratio is found throughout nature and is considered aesthetically pleasing in architecture and art. It appears in structures like the Parthenon and in works by Leonardo Da Vinci. Fibonacci numbers approach the golden ratio as the numbers increase. While not always precise, the golden ratio approximates proportions found in plants, shells, the human body, and other biological systems.
In this presentation, we see that how golden ratio and Fibonacci series are calculated or working? and What is the problem faced by Fibonacci in Fibonacci series.
In this presentation, we see that how golden ratio and Fibonacci series are calculated or working? and What is the problem faced by Fibonacci in Fibonacci series.
Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.
It is the ratio of a line segment cut into two pieces of different lengths such that the ratio of the whole segment to that of the longer segment is equal to the ratio of the longer segment to the shorter segment.
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
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.
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.
Fibonacci Sequence .
The Fibonacci Sequence is a definite pattern that can begin with either 0, 1 or 1, 1. The sequence is generated by adding the previous terms, so that 0 +1 equals 1, 1+1 equals 2, 2 + 1 equals 3, 2 + 3 equals 5, 5 + 3 equals 8, 8 + 5 equals 13, 13 + 8 equals 21, 21 + 13 equals 34, 34 + 21 equals 55, and so on. Fibonacci can be found in in every domain such as nature, art, infrastructure ,humans etc. .
Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.
It is the ratio of a line segment cut into two pieces of different lengths such that the ratio of the whole segment to that of the longer segment is equal to the ratio of the longer segment to the shorter segment.
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
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.
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.
Fibonacci Sequence .
The Fibonacci Sequence is a definite pattern that can begin with either 0, 1 or 1, 1. The sequence is generated by adding the previous terms, so that 0 +1 equals 1, 1+1 equals 2, 2 + 1 equals 3, 2 + 3 equals 5, 5 + 3 equals 8, 8 + 5 equals 13, 13 + 8 equals 21, 21 + 13 equals 34, 34 + 21 equals 55, and so on. Fibonacci can be found in in every domain such as nature, art, infrastructure ,humans etc. .
Grid Systems in Graphic Design by ADMEC Multimedia InstituteRavi Bhadauria
ADMEC Multimedia Institute is growing institute that is providing industry oriented training to the world at large. Being a multimedia institute we offer training for creating or designing content for information technology mainly.
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)MdTanvirMahtab2
This presentation is about the working procedure of Shahjalal Fertilizer Company Limited (SFCL). A Govt. owned Company of Bangladesh Chemical Industries Corporation under Ministry of Industries.
Water billing management system project report.pdfKamal Acharya
Our project entitled “Water Billing Management System” aims is to generate Water bill with all the charges and penalty. Manual system that is employed is extremely laborious and quite inadequate. It only makes the process more difficult and hard.
The aim of our project is to develop a system that is meant to partially computerize the work performed in the Water Board like generating monthly Water bill, record of consuming unit of water, store record of the customer and previous unpaid record.
We used HTML/PHP as front end and MYSQL as back end for developing our project. HTML is primarily a visual design environment. We can create a android application by designing the form and that make up the user interface. Adding android application code to the form and the objects such as buttons and text boxes on them and adding any required support code in additional modular.
MySQL is free open source database that facilitates the effective management of the databases by connecting them to the software. It is a stable ,reliable and the powerful solution with the advanced features and advantages which are as follows: Data Security.MySQL is free open source database that facilitates the effective management of the databases by connecting them to the software.
Forklift Classes Overview by Intella PartsIntella Parts
Discover the different forklift classes and their specific applications. Learn how to choose the right forklift for your needs to ensure safety, efficiency, and compliance in your operations.
For more technical information, visit our website https://intellaparts.com
Harnessing WebAssembly for Real-time Stateless Streaming PipelinesChristina Lin
Traditionally, dealing with real-time data pipelines has involved significant overhead, even for straightforward tasks like data transformation or masking. However, in this talk, we’ll venture into the dynamic realm of WebAssembly (WASM) and discover how it can revolutionize the creation of stateless streaming pipelines within a Kafka (Redpanda) broker. These pipelines are adept at managing low-latency, high-data-volume scenarios.
Hierarchical Digital Twin of a Naval Power SystemKerry Sado
A hierarchical digital twin of a Naval DC power system has been developed and experimentally verified. Similar to other state-of-the-art digital twins, this technology creates a digital replica of the physical system executed in real-time or faster, which can modify hardware controls. However, its advantage stems from distributing computational efforts by utilizing a hierarchical structure composed of lower-level digital twin blocks and a higher-level system digital twin. Each digital twin block is associated with a physical subsystem of the hardware and communicates with a singular system digital twin, which creates a system-level response. By extracting information from each level of the hierarchy, power system controls of the hardware were reconfigured autonomously. This hierarchical digital twin development offers several advantages over other digital twins, particularly in the field of naval power systems. The hierarchical structure allows for greater computational efficiency and scalability while the ability to autonomously reconfigure hardware controls offers increased flexibility and responsiveness. The hierarchical decomposition and models utilized were well aligned with the physical twin, as indicated by the maximum deviations between the developed digital twin hierarchy and the hardware.
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Cosmetic shop management system project report.pdfKamal Acharya
Buying new cosmetic products is difficult. It can even be scary for those who have sensitive skin and are prone to skin trouble. The information needed to alleviate this problem is on the back of each product, but it's thought to interpret those ingredient lists unless you have a background in chemistry.
Instead of buying and hoping for the best, we can use data science to help us predict which products may be good fits for us. It includes various function programs to do the above mentioned tasks.
Data file handling has been effectively used in the program.
The automated cosmetic shop management system should deal with the automation of general workflow and administration process of the shop. The main processes of the system focus on customer's request where the system is able to search the most appropriate products and deliver it to the customers. It should help the employees to quickly identify the list of cosmetic product that have reached the minimum quantity and also keep a track of expired date for each cosmetic product. It should help the employees to find the rack number in which the product is placed.It is also Faster and more efficient way.
Immunizing Image Classifiers Against Localized Adversary Attacksgerogepatton
This paper addresses the vulnerability of deep learning models, particularly convolutional neural networks
(CNN)s, to adversarial attacks and presents a proactive training technique designed to counter them. We
introduce a novel volumization algorithm, which transforms 2D images into 3D volumetric representations.
When combined with 3D convolution and deep curriculum learning optimization (CLO), itsignificantly improves
the immunity of models against localized universal attacks by up to 40%. We evaluate our proposed approach
using contemporary CNN architectures and the modified Canadian Institute for Advanced Research (CIFAR-10
and CIFAR-100) and ImageNet Large Scale Visual Recognition Challenge (ILSVRC12) datasets, showcasing
accuracy improvements over previous techniques. The results indicate that the combination of the volumetric
input and curriculum learning holds significant promise for mitigating adversarial attacks without necessitating
adversary training.
Sachpazis:Terzaghi Bearing Capacity Estimation in simple terms with Calculati...Dr.Costas Sachpazis
Terzaghi's soil bearing capacity theory, developed by Karl Terzaghi, is a fundamental principle in geotechnical engineering used to determine the bearing capacity of shallow foundations. This theory provides a method to calculate the ultimate bearing capacity of soil, which is the maximum load per unit area that the soil can support without undergoing shear failure. The Calculation HTML Code included.
Final project report on grocery store management system..pdfKamal Acharya
In today’s fast-changing business environment, it’s extremely important to be able to respond to client needs in the most effective and timely manner. If your customers wish to see your business online and have instant access to your products or services.
Online Grocery Store is an e-commerce website, which retails various grocery products. This project allows viewing various products available enables registered users to purchase desired products instantly using Paytm, UPI payment processor (Instant Pay) and also can place order by using Cash on Delivery (Pay Later) option. This project provides an easy access to Administrators and Managers to view orders placed using Pay Later and Instant Pay options.
In order to develop an e-commerce website, a number of Technologies must be studied and understood. These include multi-tiered architecture, server and client-side scripting techniques, implementation technologies, programming language (such as PHP, HTML, CSS, JavaScript) and MySQL relational databases. This is a project with the objective to develop a basic website where a consumer is provided with a shopping cart website and also to know about the technologies used to develop such a website.
This document will discuss each of the underlying technologies to create and implement an e- commerce website.
The Internet of Things (IoT) is a revolutionary concept that connects everyday objects and devices to the internet, enabling them to communicate, collect, and exchange data. Imagine a world where your refrigerator notifies you when you’re running low on groceries, or streetlights adjust their brightness based on traffic patterns – that’s the power of IoT. In essence, IoT transforms ordinary objects into smart, interconnected devices, creating a network of endless possibilities.
Here is a blog on the role of electrical and electronics engineers in IOT. Let's dig in!!!!
For more such content visit: https://nttftrg.com/
2. In mathematics, two quantities are in the golden ratio if
their ratio is the same as the ratio of their sum to the larger of
the two quantities.
What is this ‘Golden Ratio’ ?
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3. The golden ratio is a mathematical
constant approximately 1.6180339887.
The golden ratio is also known as the most
aesthetic ratio between the two sides of a
rectangle.
The golden ratio is often denoted by the
Greek letter (phi). .
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4. Also known as:
Extreme and mean ratio,
Medial section,
Divine proportion,
Divine section (Latin: sectio divina),
Golden proportion,
Golden cut,
Mean of Phidias
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5. HOW IS GOLDEN RATIO CALCULATED?
2 quantities a and b are said to be in the golden ratio φ if
One method for finding the value of φ is to start with the left fraction.
Through simplifying the fraction and substituting in b/a = 1/φ,
Therefore,
Multiplying by φ gives
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6. which can be rearranged to,
Using the quadratic formula, two solutions are obtained:
and
Because φ is the ratio between positive quantities φ is necessarily
positive:
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8. Construction of the Golden Section
Firstly, divide a square such that it makes two
precisely equal rectangles.
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9. Take the diagonal of the rectangle as the radius to
contsruct a circle to touch the next side of the
square.
Then, extend the base of the square so that it
touches the circle.
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10. When we complete the shape to a rectangle, we will
realize that the rectangle fits the optimum ratio of golden.
The base Lengthof the rectangle (C) divided by the base
Lengthof the square (A) equals the golden ratio.
C / A =A / B = 1.6180339 = The Golden Ratio12/24/2014 10
11. Each time we substract a square from the golden
rectangle, what we will get is a golden rectangle again.
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12. The Golden Spiral
After doing the substraction infinitely many times, if we
draw a spiral starting from the square of the smallest
rectangle, (SideLengthof the square=Radius of the
spiral) we will get a Golden Spiral.
The Golden spiral determines the structure and the
shape of many organic and inorganic assets.
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13. Relations with the Fibonacci Numbers
Fibonacci Numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377,
610, 987, 1597, ...
Fibonacci numbers have an interesting attribute. When we divide one of
the fibonacci numbers to the previous one, we will get results that are so
close to each other. Moreover, after the 13th number in the serie, the
divison will be fixed at 1.618, namely the golden number.
Golden ratio= 1.618
233 / 144 = 1.618
377 / 233 = 1.618
610 / 377 = 1.618
987 / 610 = 1.618
1597 / 987 = 1.618
2584 / 1597 = 1.618
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15. Leonardo Da Vinci
Many artists who lived after
Phidias have used this
proportion. Leonardo Da
Vinci called it the "divine
proportion" and featured it
in many of his paintings, for
example in the famous
"Mona Lisa". Try drawing a
rectangle around her face.
You will realize that the
measurements are in a
golden proportion. You can
further explore this by
subdividing the rectangle
formed by using her eyes
as a horizontal divider.
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16. The “Vitruvian Man”
Leonardo did an
entire exploration of
the human body and
the ratios of the
lengths of various
body parts. “Vitruvian
Man” illustrates that
the human body is
proportioned
according to the
Golden Ratio.
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17. The Parthenon
“Phi“ was named
for the Greek
sculptor Phidias.
The exterior
dimensions of
the Parthenon in
Athens, built in
about 440BC,
form a perfect
golden rectangle.
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18. The baselength of Egyptian pyramids divided by
the height of them gives the golden ratio.
12/24/2014 18
EGYPTIAN PYRAMIDS ARE IN GOLDEN
RATIO TOO!!
20. Golden Ratio in Human Hand and Arm
Look at your own hand:
You have ...
2 hands each of which
has ...
5 fingers, each of which
has...
3 parts separated by ...
2 knuckles
The length of different
parts in your arm also fits
the golden ratio.
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21. Golden Ratio in the Human Face
The dividence of every long line to the short line equals the golden
ratio.
Length of the face / Wideness of the face
Length between the lips and eyebrows / Lengthof the nose,
Length of the face / Lengthbetween the jaw and eyebrows
Length of the mouth / Wideness of the nose,
Wideness of the nose / Distance between the holes of the nose,
Length between the pupils / Length between the eyebrows.
All contain the golden ratio.12/24/2014 21
22. The Golden Spiral can be seen in the
arrangement of seeds on flower heads
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24. Golden Ratio In The Sea Shells
The shape of the inner and outer surfaces
of the sea shells, and their curves fit the
golden ratio..
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25. Golden Ratio In the Snowflakes
The ratio of the braches of a snowflake results in
the golden ratio.
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26. Disputed Sightings
Some specific proportions in the bodies of many
animals (including humans) and parts of the shells of
mollusks and cephalopods are often claimed to be in
the golden ratio. There is actually a large variation in the
real measures of these elements in a specific individual
and the proportion in question is often significantly
different from the golden ratio.
The proportions of different plant components (numbers
of leaves to branches, diameters of geometrical figures
inside flowers) are often claimed to show the golden
ratio proportion in several species. In practice, there are
significant variations between individuals, seasonal
variations, and age variations in these species. While
the golden ratio may be found in some proportions in
some individuals at particular times in their life cycles,
there is no consistent ratio in their proportions.
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