Alien geometry is a common trope in cosmic horror. You can’t swing a dead eldritch horror without hitting geometry that is “abnormal, non-Euclidean, and loathsomely redolent of spheres and dimensions apart from ours.” But what does that look like?
Some mathematicians and game designers have worked to make exploring strange geometry fun.
There’s certainly plenty of special effects in movies that play with optical tricks, but a team of mathematicians combined forces to create virtual reality experiences to give you a hands on feel for 4-dimensional spaces. Like Hypernom. If you don’t want to risk projecting yourself into an occult prison in an attic, you can watch a video demonstration instead. The Aperiodical offers an interesting write-up. Or you can dive into the papers the team has written.
And if you like that, you can try out other games like 4D Toys or Euclidean.
But if you end up in some mind-warping nether realm that erodes your sanity? We will disavow any knowledge of you.
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