Hacker NewsInfinite canvas notes in the non-Euclidean PoincarΓ© disk
https://uonr.github.io/poincake/
#HackerNews #infinitecanvas #nonEuclidean #Poincare #disk #notes #techinnovation #visualthinking
Zeno RogueOur brain reconstructs the 3D scene based on the angles perceived by both eyes. So (under some natural assumptions) a human in hyperbolic space would perceive it as the Beltrami-Klein ellipsoid model -- their eyes would be at the foci of this ellipsoid!
Note that, in the picture in [2/3], for clarity, the distance between foci was much larger than the distance between the eyes of the Princess. Here is a picture that is more accurate to the size of HyperRogue characters. The cutting plane is more "flat" and the perceived shape of hyperbolic space is closer to a B-K ball than obvious ellipsoid.
(This was inspired by @theking's 2019 post https://www.reddit.com/r/Hyperrogue/comments/aq4i7k/euclidean_depth_perception_in_the_hyperbolic_plane/ abut what hyperbolic space looks like, and the "stretched B-K" result was originally proven by Magma in the HyperRogue discord -- however, Magma's proof only used continuity to show that the ellipsoid model is azimuthal in two points -- but not that they are actually foci.)
[3/3] #hyperrogue #vr #RogueViz #nonEuclidean #noneuclideanGeometry #mathart #geometry
A minor, but still quite large, update to HyperRogue!
Suggest moves after 3 incorrect attempts, grow Ivy through narrow chasms, use compasses, rulers and non-Euclidean tools in the built-in drawing tool, more intuitive touch dragging, bugfixes and more!
https://github.com/zenorogue/hyperrogue/releases/tag/v13.1l #noneuclidean #roguelike #mathart #tessellation #HyperRogue #RogueViz #noneuclideanGeometry
HyperRogue is now verified for SteamDeck! β
A perfect game/platform match: mostly only movement so no need for complex buttons, joystick is good for its non-Euclidean movement directions, bigger screen and more powerful hardware are a better fit for the infinite world than phones.
A monster kills a monster, only to be killed by another monster, and somehow, there are enough monsters for every monster to kill forever.
N-gated Hacker NewsOh, look! π¨ Another so-called "mind-melting masterpiece" that can't even manage to load its own content. π Apparently, #HyperRogue is so non-Euclidean, it transcends the very concept of being available to read. π€·ββοΈ
https://roguetemple.com/z/hyper/ #mindmelting #masterpiece #nonEuclidean #contentfail #gaminghumor #HackerNews #ngated
https://roguetemple.com/z/hyper/ #mindmelting #masterpiece #nonEuclidean #contentfail #gaminghumor #HackerNews #ngated
HyperRogue, the non-Euclidean roguelike, is a mind-melting masterpiece
https://roguetemple.com/z/hyper/
#HackerNews #HyperRogue #NonEuclidean #Roguelike #IndieGames #GameDev #MindMelting
lmorchard's linksHyperRogue by Zeno Rogue
"The twist is the unique, unusual geometry of the world: it is one of just few games which takes place on the hyperbolic plane. Witness a grid composed of hexagons and heptagons, straight lines which seem to be parallel, but then they diverge and never cross, triangles whose angles add up to less than 180 degrees, how extremely unlikely is it to reach the same place twice, and how the world seems to be rotated when you do return. All this matters for the gameplay. The game is inspired by the r..."
https://zenorogue.itch.io/hyperrogue
#gaming #nifty #noneuclidean #rogue #roguelikecelebration
"The twist is the unique, unusual geometry of the world: it is one of just few games which takes place on the hyperbolic plane. Witness a grid composed of hexagons and heptagons, straight lines which seem to be parallel, but then they diverge and never cross, triangles whose angles add up to less than 180 degrees, how extremely unlikely is it to reach the same place twice, and how the world seems to be rotated when you do return. All this matters for the gameplay. The game is inspired by the r..."
https://zenorogue.itch.io/hyperrogue
#gaming #nifty #noneuclidean #rogue #roguelikecelebration
Ported Seuphorica (Scrabble solitaire deckbuilder) to RogueViz for a more intuitive and powerful interface!
(1) Infinite square grid, with standard Seuphorica special powers. Letters E and R (inverse colors close to the gigantic EE top left) are "reversing", hence "RE" is accepted and "EE" is accepted multiple times. Note the word GEESE which uses a portal to get a multiplier for gigantic 'E' two times in a single word. "PETER" uses a mirror.
But since this is RogueViz, let us make the board geometry abstract, to have even more fun with geometry and topology!
(2) Usually, words can only go "right" and "down". In hyperbolic geometry, we have holonomy, so "right" and "down" are not globally defined. So we have to accept both directions. (Or, optionally, only accept words if they are valid both ways.)
(3) In this one, "right" and "down" are not globally defined either, but "horizontal" and "vertical" are (in a somewhat twisted way), so Seuphorica "horizontal" and "vertical" multiplier powers can work.
Although the hexagons somehow turn a horizontal word into a vertical one...
#RogueViz #NonEuclideanGeometry #mathart #noneuclidean #HyperbolicGeometry #Seuphorica #scrabble
(to be continued...)
