ALL alphabets lack symmetry because they are composed of many
different letters.
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There is so many different alphabets because there is so many different languages. Every language has a different alphabet. Even the English alphabet and the Spanish alphabet are different, even though not by much.
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There is no exact count, because it's hard to define what a
fundamental difference is between alphabets, but a rough estimate
is in the neighborhood of 100 natural alphabets, and thousands of
constructed ones.
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There are many alphabets used in Canada, but officially there
are only 2: the English and French Alphabets.
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Every distinct alphabet on the planet is different from all
other alphabets.