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001100110001001100000011100000111001,001100110001001100000011100000111001. Acknowledgments,Acknowledgments,authorPeter,PeterMcOwan. McOwanappears,appearscourtesy,courtesyofofthe,cs4fnproject. projectwww cs4fn org,www cs4fn org,wassupported,supportedby. MathsGrads,Gradsproject,project We,liketotothank,thankMakhan.

MakhanSingh,Singh David,DavidArrowsmith,Arrowsmith Caroline. CarolineDavis,Davis James,JamesAnthony,RupakMann Mann Richard. RichardGarriott,Garriottand,theirvaluable,valuablecontributions. contributions,Design jamesanthonygraphics com,jamesanthonygraphics com. No 978 0 9551179 7 8,978 0 9551179 7 8,109064 Inner Coverspread indd.

109064 Inner Coverspread indd 11 07 01 2010,07 01 2010 17 13. The Manual of Mathematical Magic, Mathematics and magic may seem a strange combination but. many of the most powerful magical effects performed today have. a mathematical basis Famous magicians such as Derren Brown. and David Blaine use mathematics based tricks in their shows but. mathematics is also the secret behind the technologies we use the. products we buy and the jobs we will have Mathematics is the. language we use to describe the world around us it s the basis of all. the sciences, This book will show you how to perform some magical miracles. to impress and entertain your friends But it will also explain the. mathematics behind the tricks and how that same mathematics is used. in the real world It also looks at the varied and exciting sorts of jobs. that make use of the mathematics powering your magic. All the tricks in this book are self working which means you don t. need to know any clever sleight of hand like dealing cards from the. bottom of a deck But be warned knowing the mathematical secret. isn t the same as being able to perform the tricks well To do that you. need to use your performance skills to create a sense of wonder A. good presentation is where your audience is pulled into the magic. happening and astonishment happens With an imaginative story you. can take a simple mathematical trick and turn it into a jaw dropper. This book will give you some ideas for presentations but be creative. come up with your own way Thinking creatively about new ways to. solve problems is the key to good magic but it s also one of the key. skills of a good mathematician and one of the useful employment skills. you get from being good at mathematics As we will see many famous. mathematicians were also magicians It s not a coincidence they. enjoyed their maths and also enjoyed using it to entertain And now. you can too, As you start to work your way though this book you will find magic. that uses a whole range of mathematical ideas that you may already. have come across from simple addition and subtraction to prime. numbers geometry algebra and statistics We hope that this book. shows that all of maths can be exciting magical and useful There is. even an advanced section where some maths that s probably new to. you is introduced with stunning magic results So have some serious. fun learn practice create and above all entertain, Some of these tricks are in the acts of professional magicians.

So when you do perform them please remember the, Magicians Code practise practise practise And never reveal. the workings of magic tricks to your audience,The Symbols. Throughout this book you will see four different symbols Each one is used to. explain a different aspect of a trick, The magic symbol is how the trick will actually look to your. audience This will explain how the trick should flow and will give. you an overview of how it should come across to observers This. won t tell you the sneaky things that you need to be doing. This is where the sneakiness is explained The presentation. symbol is where the actual trick itself is explained This will go. step by step through what you need to do to make sure the trick. works and how you can increase the effect on your audience. Don t forget that the best magic tricks use a very simple device. but then this is built up through a brilliant presentation Once you. grasp how the trick works be sure to try expanding on your own. presentation ideas, All of the tricks in the book are based on mathematical. principles Normally this is explained in the presentation section. but when the maths is particularly important or you need to. learn some extra maths to make the trick work you will see this. the maths symbol, Some of the best tricks that are based on maths are all around.

us every day from our computers to the food we eat Whenever. the maths that is used in a trick has some particularly interesting. applications to the real world or to different professions you will. see the applications symbol and a brief explanation You can. always do some more research into any of these applications. and you will definitely find many more than we had room to. So on with the magic Are you watching closely,The Magic of Basic Mathematics 1. Addition It All Adds Up To A False Cut 2,Addition and Subtraction The Dented Card Trick 4. Addition and Subtraction The Force of Nature 6,Multiplication Showing Double Digit Dexterity 8. Multiplication and Addition Doing Fibonacci s Lightning Calculation 10. Division The Fast Five Trick 12,Factorising The Calculator Beating Trick 16. Addition Subtraction and Psychology The Teleporting Card 20. Even and Odd Numbers The Piano Trick 24,Basic Mathematics The Applications 26.

Binary Numbers The Super Memory Experiment 28,Binary Numbers The Applications 32. Ternary Numbers The Card at any Number Trick 34,Algebra The Brain Control Experiment 38. Algebra The Number of Matches Prediction 42,Algebra and Addition The Amazing Coincidence 44. Algebra The Applications 47,Prime Numbers Twice the Impossible Location 48. Prime Numbers The Applications 50,Geometry The Find a Card by Psychic Aura Trick 52.

Geometry The Applications 54, Statistics Quick Think of a Number The Street Magic Stunt 56. Statistics The Applications 58,Advanced Magic and Mathematics 60. Clock Arithmetic The Fairest Test ever of Psychic Skills 62. Clock Arithmetic Professional Deck Stacking 66,Modular arithmetic The Applications 76. Final Words 78, Bonus Effects The Maths Hustle or How to Win with Maths 80. Bonus Hustle Effect 1 The Glass Challenge 81,Bonus Hustle Effect 2 The Napkin Game 83.

Glossary of useful terms 84,Inventing a magic trick and. inventing a theorem are very,similar activities,Mathematician and magician. Professor Persi Diaconi,The Magic of Basic Mathematics. Let s start with the easy stuff Maths is about manipulating numbers and. looking for patterns in those numbers Adding subtracting multiplying and. dividing are the building blocks of basic maths We need these skills every. day just like reading and writing This first section shows that even these simple. mathematical steps can be magical with the proper presentation. It All Adds Up To A False Cut, For many of these tricks you will need to have certain cards in certain. places in the deck for them to work Magicians call this positioning of. cards in a deck stacking the deck But as your audience might suspect. you ve been up to something sneaky before the trick starts that s where. false shuffles and cuts come into play It looks like you are fairly mixing. the deck while in fact you do no such thing and the cards are in the same. order at the end as they were at the beginning Here s one of the simplest. false cuts It looks like a real gamblers cut but doesn t change the order. of cards in the deck at all, Put your pack on the table Let s call this pile A Now cut off about the.

top third from this pile and place these cards to the right Let s call this. pile B Now cut half of what s left in pile A and place this further to the. right of pile B We ll call this pile C, All that remains is for you to pause then reassemble the pack Place pile. B onto pile C then take this combined pile and place it on the cards in. To the audience this looks like a fair series of cuts but if you try it with a. pack you will discover that the pack is in exactly the same order at the. end as it was in the beginning,pile A pile B pile C. Why Well all this false cut does is show that when you first cut the cards. into piles you put the top third in pile B the middle third in pile C and. leave the bottom third in pile A So going from left to right your pack is. cut into three piles A bottom B top and C middle When you gather. them back together you put B on top then C in the middle and then A at. the bottom exactly where they came from, It s obvious that the order of the cards stays the same it is just simple. arithmetic but done in an offhand casual way while telling the audience. you really are mixing the cards they will believe you It is enough to. confuse the onlookers and a useful way to start your tricks too. It looks like a real gambler s cut,but doesn t change the order of. cards in the deck at all,Addition and Subtraction,The Dented Card Trick.

You demonstrate that your super sensitive fingertips can find the dent. in a chosen card which has been tapped by a spectator even when it. happens with your back turned, First your spectator shuffles the deck No funny business it can even. be their own battered deck Then you ask them to choose any number. between 1 and 10 You turn your back and tell them to count off the top. cards one by one until they reach their secret chosen number and then. tap and remember the card at that number They must leave it where it is. With your back still turned they then replace the cards and give the deck. to you You dramatically turn to face them explaining that you will shuffle. the cards then try and read them with your sensitive fingertips You will. then move their card to a different position in the deck. Meanwhile you have casually put your hands behind your back As you. are talking your hands are doing some secret counting Rapidly count off. exactly 19 cards and as you do reverse their order then replace them. on the top of the deck Announce that you have been successful You. found their dented card and have moved it to the twentieth position in. Bringing the pack into view ask your spectator what number they thought. of Suppose they tell you it was 7 You start to count cards out loud from. the top of the deck beginning 8 9 10 and so on feeling each. one as you go When the count reaches 20 pause What card did they. dent They name the card You turn over the twentieth card and it s. So how does it work Your spectator chooses a number between 1. and 10 let s call it X Their card starts out in position X Behind your. back you reverse count off the top 19 cards so the card that was. at X from the top is now at position 19 X 1 To see why we add. 1 imagine they chose X 1 After the reverse count off the chosen. card is the top card It doesn t move to position 19 1 18 it moves to. position 19 We have to add an extra 1 as we begin counting at 1. rather than 0 So their card is now at position 20 X. In the example where your spectator chose X 7 after your. hidden reverse count the card is now at position 20 7 13 Your. final countdown actually counts off 20 X cards starting at 7 the. spectator s X Mathematically this is written 20 X X and of course. this is 20 So their card will always end up at position 20 no matter. what number they originally chose,Addition and Subtraction. The Force of Nature, While your spectator thinks they are completely in control you. are able to force them to select a card of your choosing You can. then reveal the value of this card in any clever way suitable For. example you could have texted or emailed it to them earlier Get. them to read the message now, Seemingly allowing the spectator a free choice but actually. ensuring the card you know is selected is a basic magician s tool. and the basis of many a good trick It s called a force There are. loads of ways to do it but here is a simple mathematical way. For the first force secretly put the card,you want selected on the top of the deck.

Ask your spectator to tell you a number,between 1 and 10 Explain to them that. their choice was free and that you want,them to count down one card at a time to. their chosen number,Before they do this and to help things. along you demonstrate what they need to,do and count down that number of cards. one at a time onto the table so reversing,their order.

You then scoop up the cards from the table,pop them back on top of the deck and. pass the complete deck to the spectator,Get them to do the counting and their. freely chosen card is exactly the one you,knew it to be. This works because of simple addition and subtraction Say they. choose 4 Your example deal of four cards onto the table puts. The author Peter McOwan appears courtesy of the cs4fn project www cs4fn org This work was supported by the HEFCE More Maths Grads project We would like to thank Makhan Singh David Arrowsmith Caroline Davis James Anthony Rupak Mann Richard Garriott and Kris Bush for their valuable contributions Design jamesanthonygraphics com

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