Is it just the perspective, or are the sides of the parallelepiped not parallel in the plot? They should be.
Good eye Emil. The renderer does apply a perspective view, but not enough to account for that. I had a left over gamma exponent in the wrong spot that was skewing the second image. Fix is attached. It's a significant difference, but the main idea should still be the same.
that AdobeRGB has blues outside of Prophoto's gamut when you don't chromatically adapt it to D50.
I guess I would sum up my view as yes and no. I'm much more in agreement with Graystar that XYZ coordinates without reference are not colors, blues or otherwise. And I think it's more than just a matter of semantics.
The XYZ space provides a very elegant model for seeing adaptation. If you imagine standing on the white point like it's the bow of of a ship and looking toward the stern, you see all the color relationships in front of you: you're at the highest point; straight ahead and down by the propeller is the black point, if you look further down things get yellow until you look almost right under your feet to the yellow point. Magenta/red are on your left, blue/cyan are on your right. Blue is above the black point, but still a little below you. If you look up or in the other quadrants, it's is the land of oxymorons, imaginary colors, blacker than black, etc. What's important is not the coordinate you're looking at, but the
direction from where you're standing.
So imagine standing on the D65 white point and looking at that contentious blue point in the second image. You keep staring at the blue point as someone cranks a lever lowering you and the colors around you into the position of the first image until the white point you're on is now D50. The point you're looking at doesn't change color as this happens because you're still looking in the same direction, it still appears to be the same blue but now it fits easily inside the ProPhoto space. At this point you look up at the original coordinates of that blue and it looks totally different. At no point during this exercise did you ever see THAT color blue. That has never been the
color we are talking about, it's only a set of coordinates. The color we're talking about, the one you saw in front and below you from the D65 white point, that
color is easily reproduced with the prophoto space. It's not out of gamut.
Of course I understand that you can see things the other way. I just think we're talking about two different colors when you do that.