ZenoRogue | Regular architecture in {5,3,5} @ZenoRogue | Uploaded January 2020 | Updated October 2024, 1 hour ago.
Normally when you pick cells closer to cell A than to cell B, you get a half-space. But if you are in a highly symmetric closed hyperbolic manifold, the result looks much more interesting.
This manifold is constructed of 120 dodecahedra with bihedral angle 72° (i.e., there are five dodecahedra surrounding every edge). We use HyperRogue's "field quotient" method.
Two dodecahedra A and B in distance of 5 steps are chosen (for every A there is a unique B), and then every dodecahedron is colored as follows:
* distance from A equals distance from B ⟶ green
* distance from B is smaller and exactly 6 adjacent dodecahedra have the same property ⟶ yellow
* distance from B is smaller and exactly 9 adjacent dodecahedra have the same property ⟶ red
See also youtube.com/watch?v=XzhboGRY3lc based on a similar rule. This is rendered using raycasting.
HyperRogue: roguetemple.com/z/hyper
Normally when you pick cells closer to cell A than to cell B, you get a half-space. But if you are in a highly symmetric closed hyperbolic manifold, the result looks much more interesting.
This manifold is constructed of 120 dodecahedra with bihedral angle 72° (i.e., there are five dodecahedra surrounding every edge). We use HyperRogue's "field quotient" method.
Two dodecahedra A and B in distance of 5 steps are chosen (for every A there is a unique B), and then every dodecahedron is colored as follows:
* distance from A equals distance from B ⟶ green
* distance from B is smaller and exactly 6 adjacent dodecahedra have the same property ⟶ yellow
* distance from B is smaller and exactly 9 adjacent dodecahedra have the same property ⟶ red
See also youtube.com/watch?v=XzhboGRY3lc based on a similar rule. This is rendered using raycasting.
HyperRogue: roguetemple.com/z/hyper
