Horizontal and vertical; in Riemannian space? Wait; space is said to have little overall curvature because the gravity distribution is more or less four dimensionally isotropic; and that is a paradox in regard to time. AI may be four-dimensional and more if super-positioned quantum computers become a real thing thing. Horizontal and vertical in regard to intersecting plains with depth?
Without self awareness AI may not experience dimensions intentionally with knowledge. Instead it would talk your ears off about it. It will become really good for advising lawyers for the poor through an earbud in courtrooms. Stuff like much of legal procedures and accounting will become really easy for the electronic algorithms to process.
