House of Forgotten Thoughts

I'm thrilled you think so! You were one of the people that I hoped would check my work. I'm antsy about the boundary conditions, as discrete math was never my strong point. I'm not sure what an off-by-one error would do here, either in terms of total volume (am I rounding all the way to the inside or the outside of the steps?) or the truncation (did I accidentally count one step too often or too few?).

Then there are those pesky ramps...