Why is clip space always referred to as "homogeneous clip space"?

Posted by Nathan Ridley on Game Development See other posts from Game Development or by Nathan Ridley
Published on 2013-11-13T11:20:11Z Indexed on 2013/11/13 16:19 UTC
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I've noticed in almost everything I've read so far that the term "clip space" is prepended with the word "homogeneous". Now I understand that it roughly means "all the same", but I don't understand why there is the express need to say "homogeneous clip space". When is clip space not homogeneous and why do we need to differentiate? And for that matter, what exactly does it mean that we're calling it "homogeneous clip space"? Homogenous in relation to what? In what way are the vertices "all the same"?

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