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Just as in Euclidean space, two vectors v and w are said to be orthogonal if η(v,w) = 0.Minkowski space differs by including hyperbolic-orthogonal events in case v and w span a plane where η takes negative values. This difference is clarified by comparing the Euclidean structure of the ordinary complex number plane to the. integrable vortex equations on hyperbolic space H 2, described here in terms of the Poincaré disk model. The role of the total space is played by the double cover AdS˜ 3 of Anti-de Sitter space, which is isomorphic to SU(1,1). The analogue of the Hopf fibration is the (topologi-cally trivial) circle fibration π: SU(1,1) → H2. Proceeding as. Hyperbolic maze. You are in the realm of Agreement. Your goal is to collect all 24 orbs (one per realm). There is also a similar but different game (more of a classical maze) in the same world. This is a maze in the hyperbolic plane, displayed using the Poincaré disk or Beltrami-Klein model (see this video for explanations and illustrations.