Playing with Infinity by Rózsa Péter

Playing with Infinity by Rózsa Péter

Author:Rózsa Péter
Language: eng
Format: mobi, epub
ISBN: 9780486150055
Publisher: Dover Publications
Published: 2012-10-14T22:00:00+00:00


1·10 = 1

1·11 = 1·1

1·12 = 1·21

1·13 = 1·331

1·14 = 1·4641

. . . . .

These powers grow very slowly, and we have already a whole host of numbers between 1 and 2 before we need to start on the troublesome business of filling in the gaps.

Of course a still smaller number, even nearer to 1, would be better still. Let us try the base 1·001 (here we separate the elements in the Pascal Triangle by pairs of zeros):

1·0010 = 1

1·0011 = 1·001

1·0012 = 1·002001

1·0013 = 1·0030003001

. . . . .



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