pages: latestmagicbeing00hoff.pdf, 203
This data as json
path | page | folder | text |
---|---|---|---|
latestmagicbeing00hoff.pdf | 203 | card is to be found on pages 1, 3 and 6: the key num- ber of these three pages being 1, 4 and 32: together making 37, and thirty-seven less twenty-six being eleven, he knows that the card must be the eleventh of the third suit, otherwise the knave of spades. If he is told that the card is on the third, fifth and sixth pages, the key numbers of which are 4, 16 and 32, total 52, it is clear that the card must be the last in the list, viz., the king of diamonds. So much for the working of the trick. But the reader, if of an. enquiring mind, will naturally ask, "How is this result obtained?' The answer rests upon a special property of the geometrical pro- gression which forms the six key numbers. It is a curious fact that by the use of these six numbers, either singly or in combination with others of the series, any number, from unity up to 63, can be expressed. Thus, the numbers, 1, 2, 4, 8, 16 and 32 we already have, these being numbers of the series. As to other numbers: 1 + 2 = 3 4 + 1== 4 + 2== 6 4 + 2 + 1 = 7 8 + 1 = 9 |