I'm having a problem with layers of glass. In the render below, the two windows just left of center are rendering as expected; you can see the skybox behind them. The other windows are not; they're showing solid white. This appears to be because they're behind another layer of glass (using the same Blender material); the same thing happens to the glass wall sections at the far left edge, when they're behind another glass wall section. The material settings are also in the screen shot.

I'm using Blender Render, with Ambient Occlusion & Indirect Lighting turned on Gather set to Approximate with 0.1 falloff.

Anybody know what's causing this and how I can fix it?

dont use BI much but try turning up your bounces

Attached Link: http://i.imgur.com/iNI4liW.jpg

Yep, that's exactly what the problem is from the looks of it, you need to find and turn up the ray recursion limit. Looks like its on the "Transparency" panel, and the default appears to be "2" which means once a ray passes thru 2 layers of transparency it "runs out of energy" and just returns the constant value, which in your case is white. If you set that value higher, it should solve the problem, you don't want to set it too high tho, as it will likely increase your render time slightly. 

Also, keep in mind, a similar issue, tho often less noticeable can happen when you have multiple refelctive surfaces on the scene together. There's a depth limit on the "Mirror" properties panel as well, you might want to increase that if you notice reflections are "running out" as well.

Where on earth did you get a monitor which a resolution of 2800x1800 pixels by the way???

EDIT: Whoops, looks like we crossed up while i was poking around blender for the right buttons to push.

Sounds like a Mac retina display.

Laurie

Quote - Sounds like a Mac retina display.

Yup.

And thanks all. I'm still a n00b, but I'm learning fast.