Vertical sliding windows work on the same principle as the classic sash window, but with modern aluminium frames, sealing, and hardware behind it. Instead of moving side to side, the sash — or sashes — travel up and down within the frame.
The advantage shows up in narrow openings — a tall, narrow window that wouldn't have room to slide horizontally can still open fully with a vertical mechanism, since the movement uses the height of the opening rather than its width.
Vertical sliders also tend to work well where a window sits close to a walkway or furniture on one side, since there's no panel travelling sideways into that space — only up and down within the frame's own footprint.
It's a less common choice than horizontal sliding or casement windows today, but for narrow openings or facades where a horizontal mechanism doesn't fit the proportions, it remains one of the more practical answers.

