[carstimon]

"Although no other algebraic units are as famous as the golden ratio, they are of central importance to algebra."

Arguably more famous algebraic numbers include: 0, 1, The square root of two, the square root of any integer, i, any integer, the nth root of any integer,...

[jdpage]

I realize that you were highlighting some specific, well-known examples, but I'm finding it pretty funny that you could have just said "the nth root of any integer", which encompasses all of the numbers and sets you mentioned before it. (I'm a maths student; it's finals; everything is hilarious now)

[carstimon]

Yeah, I guess those are the only ones I can think of that are more famous than the golden ratio :)

[NAFV_P]

An obscure algebraic number:

http://en.wikipedia.org/wiki/Plastic_number

[tromp]

I only agree with your first three examples (the third being debatable). Square or higher roots of arbitrary integers are definitely less famous than the golden ratio though...

[NAFV_P]

> Square or higher roots of arbitrary integers are definitely less famous than the golden ratio though...

Out of the list of algebraic numbers in question, zero is the most infamous.