The Unimaginable Mathematics of Borges' Library of Babel by William Goldbloom Bloch

Author:William Goldbloom Bloch
Language: eng
Format: mobi, epub, pdf
Tags: Non-Fiction
ISBN: 9780195334579
Publisher: Oxford University Press, USA
Published: 2008-08-24T04:00:00+00:00

Another, and perhaps the most important, visual asymmetry is that the orthographic symbols will be mirror-reversed. For an example, see figure 44. An elegant way to avoid this asymmetry is to specify an alphabet whose orthographic symbols are invariant under left-right flips; typically, this is called bilateral symmetry. Here are 25 invariant Roman letters and symbols from a standard computer keyboard.

A H I M O T U V W X Y 8 ‘ “ -

= + · : * ^ | ! . (blank space)

(A sharp-eyed reader will note that some of the letters in this font, such as A, M, U, V, W, X, and Y, aren't precisely bilaterally symmetric. These letters need only minor modifications to become bilaterally symmetric.) Fourteen other symbols, readily available, are also invariant under mirror-inversions:

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