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Maths, magic and mystery Chris Budd

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Who likes magic? We like magic because Its mysterious Its dramatic It has an element of surprise It has glamour and excitement! This seems a bit different from a logical and rational subject like maths!

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Maths is a highly creative subject full of mystery and surprises But an even more mysterious fact is … Most people dont realise this!

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Maths is the study of abstract objects and the patterns that link them together Links are called theorems They are often deeply amazing, mysterious,beautiful and very, very useful!

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Some amazing theorems a b c Pythagoras Gregory Euler

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Unfortunately, not everyone appreciates their mystery and beauty But … most people like magic, art and storytelling! Some people are even scared of maths!

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By linking maths to magic, art and storytelling we can unlock some of its mysteries Theorems can lead to some great magic tricks!!!

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Some Mathematical Magic Tricks Clocks Cards Mind reading

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A bit of mind reading

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The Clock Trick

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Mystery number is x Total number of taps is 21 – x After 8 random taps we have 13 – x Number we get to from the top is 13 – (13 – x) Rearrange 13 – (13 – x) = x Theorem: y – (y – x) = x

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Wheres the Joker?

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The Cards who Know Their Names A Q J K

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K AACETWO 2THREE 3A2FOUR4FIVE5 3 3 A A SIX6 687QJ10 9

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Row is given by round up (x/3) New position by f(x) = 7 + round up (x/3) 21 Card Trick

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Some mind reading Take a 4 digit number x eg Scramble the digits to give y eg Subtract y from x (or vice versa) 3996 Cross out a non-zero digits and tell me the others eg. 396

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Digital root of a number = sum of digits x and y have the same digital root Theorem The difference z between two numbers with the same digital root, has a digital root which is always a multiple of 9 Theorem The difference z between two numbers with the same digital root, has a digital root which is always a multiple of 9

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Maths in Celtic and African Art Celtic African

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How to draw simple Celtic Knots Start with a grid (5, 4) grid

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(5,6)

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(4,8)

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(2,2) 2 (3,2) 1 (5,3) 1 (4,4) 4 How many pieces of string are needed?

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Simple Celtic Knots are very similar to plaited mat sona drawings Sona … African sand patterns (3,4) (2,4)

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We can also produce more advanced African sona … Chased Chicken designLions Stomach design

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