**The Fantastic 4 Workshop**

It’s not excavating the past, neither Archaeology, but an effort towards REKINDLING our Ancient Indian Mathematics. Eureka’s World in association with The School of Vedic Maths invites you for mind boggling workshops this APRIL. The DIG is suitable for all age groups ABOVE 12 yrs.

A workshop on solving geometric puzzles, trying to understand the puzzling factor that makes a puzzle a 'puzzle'. While we solve these geometric puzzles (like Tangram, Trapezoid Tangram, Henry Dudeney's puzzles, etc), we will also be looking at the motivational factor behind these puzzles. What must have been the thought process behind the minds of the great mathematicians who must have made them?

Why should we try to do that? Problem-solving is an ability which Mathematics helps us inculcate in us. The more we are good in solving Math-problems, the more we become good in solving life's problems.

Geometry deals with shapes and space. In a given area x, how can we fit something of area y by changing its shape? This is something that we can understand through solving geometric puzzles.

By understanding the thought process behind them we can think of how to make such puzzles on our own.

Enigma was thought to be unsolvable during World War II until Alan Turing made the first computer which solved the great puzzle. Mission Enigma is a workshop which will make us look into intrinsic patterns hidden in the things we see. How to solve them can lead us into a great area of exploration where we ourselves can code and decode information.

In this workshop we will be looking at Magic Squares and it's possible applications in Cryptography. We will also be discussing the logic behind Magic squares...the actual thing that makes a magic square Magical. We shall also be looking at the algebra behind Magic Squares, arithmetic progressions and if possible...patterns in primes.

Pythagorean triplets is not something new for most of us. But can we have a formula that can create all possible Pythagorean triplets? We are also going to discuss how knowing triplets can help us solve geometric problems in a non-routine way...without using algebra.

An interesting thing about the triplets is that, even though it deals with geometry, we will be seeing the hidden algebra behind the triplets which would reveal the secret of numbers becoming triplets.

The learning will be activity-based and children will be divided into groups where they will be discussing and discovering patterns in triplets. Once again - pattern observation!

Triplets are of the form a^2 + b^2 = c^2. Can we have numbers in the form a^2 + b^2 = c^2 + d^2? If so, where can they be applied? This can be a concluding point in the workshop.

In this workshop we shall discuss on non-routine ways of solving problems. Generally we rely only on algebra to solve problems. But there can be some non-routine or out of the box thinking that can be used for solving problems.

E.g. 7 thieves loot a village and get away with a certain number of diamonds. When they try to divide it equally among 2, 3, 4, 5 or 6 people, there is always one diamond left. But it is equally divisible among 7 of them. How many number of diamonds were there? Can there be more than one solution to it? If so, how many solutions exist? Can we find a pattern for these solutions? Can we get a generalised form for this? Can we make a similar question on our own?

This would be a line of thinking in this workshop Heurisco Dialyma which means 'I discover the solution' (in Greek). In this workshop too we will be encouraging the students to think and discover the solutions and the methods on their own.

In all the above workshops, the concepts would be taken from ancient Indian Mathematics which gives us a lot of opportunities to explore and learn.