Convention of faces in OpenGL cubemapping

Question

What is the convention OpenGL follows for cubemaps?

I followed this convention (found on a website) and used the correspondent GLenum to specify the 6 faces G

Answer 1

Here is a convenient diagram showing how the axes work in OpenGL cubemaps:

Answer 2

but I always get wrong Y, so I have to invert Positive Y with Negative Y face. Why?

Ah, yes, this is one of the most odd things about Cube Maps. Rest assured, you're not the only one to fall for it. You see:

Cube Maps have been specified to follow the RenderMan specification (for whatever reason), and RenderMan assumes the images' origin being in the upper left, contrary to the usual OpenGL behaviour of having the image origin in the lower left. That's why things get swapped in the Y direction. It totally breaks with the usual OpenGL semantics and doesn't make sense at all. But now we're stuck with it.

Take note that upper left, vs. lower left are defined in the context of identity transformation from model space to NDC space