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I want to make a Venn diagram that shows the complete number hierarchy from the smallest (natural number) to the largest (complex number). It must include natural, integer, rational, irrational, real and complex numbers.

How do we draw the number hierarchy from natural to complex in a Venn diagram?

Edit 1:

I found a diagram as follows, but it does not include the complex number.

enter image description here

My doubt is that shoul I add one more rectangle, that is a litte bit larger, to enclose the real rectangle? But I think the gap is too large enough only for i, right?

Edit 2:

Is it correct if I draw as follows?

enter image description here

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    ガベージ, Your second diagram is what I originally considered as a further edit to mine, but if we want to be totally accurate, there's a problem. See how the circles that represent $\mathbb{Q}$ and $\mathbb{R}$ have small slivers outside of {0} that intersect $\mathbb{I}$? Technically, we shouldn't have that.2012-10-21

2 Answers 2

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Emmad's second link is just perfect, IMHO. For something right in front of you, here's this:

enter image description here

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    Kevin, I hope everyone will agree that your comment attached here provides the appropriate level of completeness for the diagram. :) And you've answered my question of why we can't keep extending $\mathbb{C}$ the same way. Namely, we can! I'm going to assume but not attempt to prove at this time that the number of extensions is countable.2012-10-24
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There is a good picture at: number-set-venn-diagram. For detailing Complex Numbers, you can see this one: Complex Numbers Venn Diagram.

You may decide to combine the two to get a very complex picture!

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    In Venn diagrams, objects live within the boundaries not on the boundaries themselves (I think). The pictures are meant to show the general idea, something like a country's high level map.2012-10-20