Mathematics__Magic_and_Mystery.pdf

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Mathematics,
Magic and Mystery
MARTIN GARDNER
DOVER PUBLICATIONS, INC., NEW YORK
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Copyright © 1956 by Dover Publications, Inc.
All rights reserved under Pan American and Inter-
national Copyright Conventions.
Published in Canada by General Publishing Com-
pany, Ltd., 30 Lesmill Road, Don Mills, Toronto,
Ontario.
Published in the United Kingdom by Constable
and Company, Ltd., 10 Orange Street, London WC 2.
Mathernatics, Magic and Mystery is a new work,
published for the first time by Dover Publications,
Inc., in 1956.
Standard Book Number: 486-20335·2
Library of Congress Catalog Card Number: 57-1546
Manufactured in the United States of America
Dover Publications, Inc.
180 Varick Street
New York, N. Y. 10014
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Table of Contents
PREFACE
xi
CHAPTER ONE: TRICKS WITH CARDS-PART I
The Curiosities of Peirce
2
The Five Poker Hands
3
TRICKS USING CARDS AS COUNTING UNITS
4
The Piano Trick
4
The Estimated Cut
5
6
TRICKS USING THE NUMERICAL VALUES
Findley's Four-card Trick
6
A Baffling Prediction
7
Henry Christ's Improvement
8
The Cyclic Number
9
The Missing Card
10
Jordan's Method
1 I
TRICKS BASED ON DIVISION OF COLORS AND SUITS
13
Stewart James' Color Prediction
13
The Royal Pairs
15
TRICKS USING FRONT AND BACK
15
Matching the Colors
15
Hummer's Reversal Mystery
17
The Little Moonies
19
CHAPTER TWO: TRICKS WITH CARDS-PART II
20
O'Connor's Four-ace Trick
20
The Magic of Manhattan
20
Predicting the Shift
2 I
The Keystone Card Discovery
22
Two-pile Location
22
Spelling the Spades
23
Elmsley's Card Coincidence
25
v
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vi
TABLE OF CONTENTS
27
2 28
3 1
Magic by Mail
Belchou's Aces
The Tit-Tat-Toe Trick
Other Tricks of Interest
CHAPTER THREE: FROM GERGONNE TO
GARGANTUA
33
Naming the Position of the Card
34
Bringing the Card to a Named Position
35
Walker's Method
36
Naming the Card
38
Relation to Ternary System
39
Gargantua's Ten-pile Problem
40
CHAPTER FOUR: MAGIC WITH COMMON
OBJECTS
42
42
DICE
Guessing the Total
43
Frank Dodd's Prediction
43
Positional Notation Tricks
44
Hummer's Die Mystery
45
DOMINOES
46
The Break in the Chain
47
The Row of Thirteen
47
CALENDARS
48
Magic Squares
48
Gibson's Circled Dates
48
Stover's Prediction
49
Calendar Memorizing
50
VVATCHES
50
Tapping the Hours
50
Die and Watch Mystery
51
DOLLAR BILLS
52
Heath's Bill Trick
52
MATCHES
55
The Three Heaps
55
Match Folder Mind-Reading
55
The Tramps and Chickens
56
The Purloined Objects
57
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