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Chaos & Fractals - Summer Creativity Course

RSC Calicut organised a five day hobby course titled 'Chaos & Fractals' from April 9 - 13, 2018. Eighteen students registered for the course. Most of the students were from +2 level and few were from Under-Graduate science courses. Topics discussed were Introduction to Chaos, Butterfly effect, Bifurcation Diagrams, Fractals, Generation & Properties of Fractals. Students performed iterative calculations using web interfaces; generated fractals using simulation techniques; Developed fractal patterns using 'Diffusion Limited Algorithms' using web interface; understood & calculated fractional dimensions of snow flakes, Koch curves & Sierpinski triangles. On the last day they were exposed to waves with non-linear aspects called 'Solitons'. The classes were handled by Dr. Rajan Nambiar, Dr. Subha P A, Mr. Jayant Gangopadhyay.

RSC Calicut organised a five day hobby course titled 'Chaos & Fractals' from April 9 - 13, 2018. Eighteen students registered for the course. Most of the students were from +2 level and few were from Under-Graduate science courses. Topics discussed were Introduction to Chaos, Butterfly effect, Bifurcation Diagrams, Fractals, Generation & Properties of Fractals. Students performed iterative calculations using web interfaces; generated fractals using simulation techniques; Developed fractal patterns using 'Diffusion Limited Algorithms' using web interface; understood & calculated fractional dimensions of snow flakes, Koch curves & Sierpinski triangles. On the last day they were exposed to waves with non-linear aspects called 'Solitons'. The classes were handled by Dr. Rajan Nambiar, Dr. Subha P A, Mr. Jayant Gangopadhyay.

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4/15/18

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Astronomy Model Making Workshop for school students organised by RSC Calicut

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4/15/18

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During April 9 – 13, 2018 RSC & Planetarium will be organising a five day introductory course titled “Chaos and Fractals” covering the subject of chaos theory and its closely related field of fractal geometry. The classes will be held from 10:30 am – 4:30 pm during these days. There will be theory & computation sessions. Students of class 11, 12 & B Sc are encouraged to apply for the course. Registration Fee is Rs. 500/-. Number of seats is 25, and on first come basis. All participants who input a minimum of 90% attendance will be receiving a participation certificate.

Course Team:

Dr. Rajan Nambiar

Dr. Mini Balakrishnan

Dr. Subah P A

Mr. Jayant Ganguly

About – Chaos & Fractals

These new areas of research are causing a great deal of excitement worldwide. Previously, many events were considered to be chaotic, unpredictable and random. The dripping of a tap, the weather, the formation of clouds, the fibrillation of the human heart, the turbulence of fluid flows or the movement of a simple pendulum under the influence of a number of magnets are a few examples. The slightest change in initial conditions, it was thought, caused results which appeared to follow no pattern. The advent of the calculating power of the computer has changed this belief. Patterns are being found, now that it is possible to have the machine do the immense number of calculations required to fully analyse the simplest behaviours. Yet the outcome is still unpredictable.

Chaos theory and fractal geometry and fractal geometry are cutting edge knowledge and yet are accessible to students. It is invaluable for students to see that mathematics, science, technology art and the nature of society are in a state of change.

Many systems which scientists have considered totally random, unpredictable and without form have now been found to be otherwise. There is form and pattern hidden within the CHAOS . It is a part of the natural form - a definitive ingredient of Nature itself.

Chaos Theory is changing the way scientists look at the weather, the way mathematicians plot equations and the way artists define Art. Population dynamics is one area which can be very sensitive to small changes in initial conditions. So can the weather. A butterfly flapping its wings in a South American jungle, it is said, can lead to a hurricane in China. This is the signature of Chaos Theory!

As scientists studied these systems, a mathematics evolved which had already drawn interest from pure mathematicians. This mathematics involved ITERATION - taking the answer to the equation and feeding it back into the equation, over and over again. In watching the result of this process, some fascinating behaviours were observed. When the mathematicians and scientists got together, with the benefit of machines which could do their calculations within minutes, a new science was born.

Chaotic systems are not random. They may appear to be. They have some simple defining features:

1. Chaotic systems are deterministic. This means they have some determining equation ruling their behaviour.

2. Chaotic systems are very sensitive to the initial conditions. A very slight change in the starting point can lead to enormously different outcomes. This makes the system fairly unpredictable.

3. Chaotic systems appear to be disorderly, even random. But they are not. Beneath the seemingly random behaviour is a sense of order and pattern. Truly random systems are not chaotic. The orderly systems predicted by classical physics are the exceptions. In this real world of our, chaos rules!

Fractals are a language, a way to describe a geometry. Euclidean geometry is a description of lines, circles, ellipses and so on. Fractal geometry is described in algorithms - a set of instructions on how to create the fractal. Computers translate the instructions into the magnificent patterns we see as fractal images.

The link between chaos and fractals is strong. Fractal geometry is the geometry which describes the chaotic systems we find in nature.

Benoit Mandelbrot, in 1979, was playing with a rather simple little equation. If the iteration went out of control, the point on the computer screen was plotted white. If it stayed within some bounds, forever, then the point was considered to be inside the set and plotted black. The set thus formed came to be known as ‘Mandelbrot set’.

Mandelbrot coined the word "fractal" to describe his new object and those like it. He argued that the edge of the set was more than a line (of dimension 1) and less than an area (of dimension 2). He claimed it had a dimension somewhere between the two - A fractional dimension.

Course Team:

Dr. Rajan Nambiar

Dr. Mini Balakrishnan

Dr. Subah P A

Mr. Jayant Ganguly

About – Chaos & Fractals

These new areas of research are causing a great deal of excitement worldwide. Previously, many events were considered to be chaotic, unpredictable and random. The dripping of a tap, the weather, the formation of clouds, the fibrillation of the human heart, the turbulence of fluid flows or the movement of a simple pendulum under the influence of a number of magnets are a few examples. The slightest change in initial conditions, it was thought, caused results which appeared to follow no pattern. The advent of the calculating power of the computer has changed this belief. Patterns are being found, now that it is possible to have the machine do the immense number of calculations required to fully analyse the simplest behaviours. Yet the outcome is still unpredictable.

Chaos theory and fractal geometry and fractal geometry are cutting edge knowledge and yet are accessible to students. It is invaluable for students to see that mathematics, science, technology art and the nature of society are in a state of change.

Many systems which scientists have considered totally random, unpredictable and without form have now been found to be otherwise. There is form and pattern hidden within the CHAOS . It is a part of the natural form - a definitive ingredient of Nature itself.

Chaos Theory is changing the way scientists look at the weather, the way mathematicians plot equations and the way artists define Art. Population dynamics is one area which can be very sensitive to small changes in initial conditions. So can the weather. A butterfly flapping its wings in a South American jungle, it is said, can lead to a hurricane in China. This is the signature of Chaos Theory!

As scientists studied these systems, a mathematics evolved which had already drawn interest from pure mathematicians. This mathematics involved ITERATION - taking the answer to the equation and feeding it back into the equation, over and over again. In watching the result of this process, some fascinating behaviours were observed. When the mathematicians and scientists got together, with the benefit of machines which could do their calculations within minutes, a new science was born.

Chaotic systems are not random. They may appear to be. They have some simple defining features:

1. Chaotic systems are deterministic. This means they have some determining equation ruling their behaviour.

2. Chaotic systems are very sensitive to the initial conditions. A very slight change in the starting point can lead to enormously different outcomes. This makes the system fairly unpredictable.

3. Chaotic systems appear to be disorderly, even random. But they are not. Beneath the seemingly random behaviour is a sense of order and pattern. Truly random systems are not chaotic. The orderly systems predicted by classical physics are the exceptions. In this real world of our, chaos rules!

Fractals are a language, a way to describe a geometry. Euclidean geometry is a description of lines, circles, ellipses and so on. Fractal geometry is described in algorithms - a set of instructions on how to create the fractal. Computers translate the instructions into the magnificent patterns we see as fractal images.

The link between chaos and fractals is strong. Fractal geometry is the geometry which describes the chaotic systems we find in nature.

Benoit Mandelbrot, in 1979, was playing with a rather simple little equation. If the iteration went out of control, the point on the computer screen was plotted white. If it stayed within some bounds, forever, then the point was considered to be inside the set and plotted black. The set thus formed came to be known as ‘Mandelbrot set’.

Mandelbrot coined the word "fractal" to describe his new object and those like it. He argued that the edge of the set was more than a line (of dimension 1) and less than an area (of dimension 2). He claimed it had a dimension somewhere between the two - A fractional dimension.

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Glimpses: Super Blue Blood Moon from RSC & Planetarium Calicut. (Visitor footfall ~4000)

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2/1/18

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Camp on Innovation in Art & Craft

(Day 5| Validiction & Certificate Distribution |30.12.17)

Session: Validiction & Certificate Distribution

Chief Guest: Dr. Homi Cherian, Director, DASD, Kozhikode

(Day 5| Validiction & Certificate Distribution |30.12.17)

Session: Validiction & Certificate Distribution

Chief Guest: Dr. Homi Cherian, Director, DASD, Kozhikode

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12/30/17

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Camp on Innovation in Art & Craft

(Day 5| Session 2 |30.12.17)

Session: Cartoon Illustration with sketch pen & paper

Resource: M Ajay Kumar

(Day 5| Session 2 |30.12.17)

Session: Cartoon Illustration with sketch pen & paper

Resource: M Ajay Kumar

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12/30/17

5 Photos - View album

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