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From: Blue-Maned_Hawk <bluemanedhawk@invalid.invalid>
Newsgroups: comp.lang.c
Subject: Re: More complex numbers than reals?
Date: Tue, 9 Jul 2024 08:33:51 -0000 (UTC)
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Chris M. Thomasson wrote:

> Are there "more" complex numbers than reals? It seems so, every real has
> its y, or imaginary, component set to zero. Therefore for each real
> there is an infinity of infinite embedding's for it wrt any real with a
> non-zero y axis? Fair enough, or really dumb? A little stupid? What do
> you think?

No.  You could draw a Hilbert curve (or any other space-filling curve) on 
a square of the complex plane and then tile it around in a spiral to fill 
up the rest of the plane.  Then, you connect up all the ends of those 
tiles together and pull on the ends of the curve to stretch it out to form 
a line that is as infinite as the real number line.



-- 
Blue-Maned_Hawk│shortens to Hawk│/blu.mɛin.dʰak/│he/him/his/himself/Mr.
blue-maned_hawk.srht.site
A complex plane is what's used to fly to imaginary worlds.