Latin dating introduction

Isomorphic comes from greek; iso meaning same and morph meaning form.

Consider the three latin squares constructed below.

Here is the addition table for two bit strings: The rightmost array above is the latin square C.

In one sense all of these latin squares of order 3 are all the same.

The original latin square could be a table of information and the other tables just personal taste on how to display the information and code the data.

The applet below offers you two problems: one simple and one less simple.


The latin square A of order 4 below is constructed by cyclically permuting the symbols in the first row for subsequent rows.1 2 3 4 2 3 4 1 3 4 1 2 4 1 2 3 The latin square B arises as the multiplication table for the nonzero integers modulo 5: 1 2 3 4 2 4 1 3 3 1 4 2 4 3 2 1 Computers do modulo 2 arithmetic on strings of zeros and ones.


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