Virtual-reality simulations of curved space are most effective and most fun when presented as a game (for example, curved-space billiards), so the user not only has something to see in the curved space, but also has something fun to do there. However, such simulations encounter a geometrical problem: they must track the player’s hands as well as her head, and in curved space the effects of holonomy would quickly lead to violations of body coherence. That is, what the player sees with her eyes would disagree with what she feels with her hands. This article presents a solution to the body coherence problem, as well as several other questions that arise in interactive VR simulations in curved space (radians vs. meters, visualization of the projection transformation, native-inhabitant view vs. tourist view, and mental models of curved space).

弯曲空间的虚拟现实模拟是最有效的，当作为一个游戏呈现（例如，弯曲空间台球）最好玩的，因此用户不仅东西看在弯曲的空间，但也有一些有趣的做有。但是，这样的模拟遇到了几何问题：它们必须跟踪玩家的手以及她的头部，并且在弯曲的空间中，完整的影响会很快导致违反身体连贯性的行为。。就是说，玩家用眼睛看到的东西将与用双手感觉到的不一致。本文提出了一种解决身体连贯性问题的方法，以及弯曲空间中交互式VR模拟中出现的其他一些问题（弧度与米，投影变换的可视化，本机居民视图与游客视图以及心理模型）弯曲的空间）。