Just as you wanted, here we try to explain the mysterious Nil geometry!
Nil is one of the eight Thurston geometries. Thurston geometries are used to classify three-dimensional manifolds. Nil is anisotropic, which means that the directions are not equivalent: the "up/down" direction acts differently than north/east/south/west directions.
Presented by Tehora Rogue.
Links:
Hyperbolic geometry:
* Temple of Cthulhu in "rectangles on horospheres" (run HyperRogue with arguments "-geo rect -W Temple -rch -noplayer -sight3 3 -smartlimit 100000 -genlimit 100000")
* Right-angled pentagon: • Right-angled pentagon
* Portals to hyperbolic and other geometries: • Portals to Non-Euclide...
* Play HyperRogue for more hyperbolic geometry!
Impossible structures in Nil:
* Ascending and Descending in Nil: • Ascending and Descendi...
* Impossible ring: • Impossible Ring in Nil / • Driving along the impo...
* Impossible triangle in Nil geometry: • Impossible Triangle Po... / • Penrose Chainmail / • Penrose Triangle Network
* See also the RogueViz demo "Playing with Impossibility" zenorogue.itch.io/rogueviz (or the recording • Playing with Impossibi... )
The Nil Rider game shown is a work in progress. Should be available soon! EDIT: zenorogue.itch.io/nil-rider
More related stuff:
* Perpetuum Mobile in Nil: • Perpetuum mobile in Ni...
We use:
* the RogueViz engine:
roguetemple.com/z/hyper/rogueviz.php
* 3D model of Ascending and Descending by Lucian B.:
3dwarehouse.sketchup.com/mode...
* HyperRogue soundtrack under the Creative Commons BY-SA 3.0 license (R'Lyeh by Shawn Parrotte and Lost Mountain by Lincoln Domina)
Негізгі бет Ғылым және технология Nil geometry explained!
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