Penrose staircase

Higher-dimensional geometry (previously "Polyshapes").

Penrose staircase

Postby Marek14 » Thu Oct 10, 2019 7:34 pm

With Hyper Rogue's recent implementation of anisotropic Thurston geometries, one interesting note is that the Nil geometry (twisted Euclidean geometry) actually includes well-known "impossible structures" like Penrose triangles and staircases as solid, real objects. Was that known?
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Re: Penrose staircase

Postby mr_e_man » Mon Dec 02, 2019 8:30 pm

Ugh. :x Someone vandalized the Penrose tribar page. (See "tribal", "pen rose", "Pennose", "thermal", and "cows" in an earlier edit.)

But it did say "Such an object can exist in certain Euclidean 3-manifolds".
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