Zeno Rogue

@ZenoRogue

Mathematics, game development, art, roguelikes, hyperbolic geometry. Sometimes all at once.

Vrijeme pridruživanja: lipanj 2012.

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  1. Prikvačeni tweet
    18. lip 2019.

    HyperRogue version 11.1 released! 3D geometries, 3D view of 2D geometries, and new special modes.

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  2. proslijedio/la je Tweet
    2. velj

    Improbawall by 3D Designer Matt Taylor

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  3. proslijedio/la je Tweet
    29. sij

    Dwarf Fortress bug reports are the highest form of art

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  4. 1. velj

    Indie games often use pixel art because it is easy to make. Pixel art is not appropriate for HyperRogue because of non-Euclidean geometry, but there are lots of other styles to choose from.

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  5. 29. sij

    Looks like the double helix, but it is more like infinitely many ∞-ple horohelices. has just explained this space here:

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  6. 29. sij

    Dodacedra growing until they fill the hyperbolic space. Each has an inscribed cube. While these cubes do not fill the hyperbolic space (only 40%), the rest can be filled with the same cubes (12-hedron = cube + 6 quartercubes). (Observed by MagmaMcFry in the HyperRogue discord.)

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  7. 25. sij

    To avoid numerical issues, hyperbolic tessellations are represented with trees where every cell is connected to one of the cells closer to the origin. To get efficient algorithms, every cell has a type which specifies what children it has, and their types. {5,3,5}

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  8. 10. sij

    Flying through a highly symmetric hyperbolic manifold. See also for another version/more. The space is constructed from 120 {5,3,5} dodecahedra.

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  9. proslijedio/la je Tweet
    8. sij

    If 1024 fair coins are each tossed 10 times, chances are good (> 63%) that at least one will come up heads 10 times in a row; and that coin will be proud to explain how its skill, faith, guts & determination made its achievement possible, and how that combo can work for you too.

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  10. proslijedio/la je Tweet
    7. sij

    5d uniform polytope: 24-cell prism. 24-cell inside a 24-cell:

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  11. proslijedio/la je Tweet
    5. sij
    Odgovor korisnicima i sljedećem broju korisnika:

    A hyperbolic manifold made of 125 {5,3,5} dodecahedra.

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  12. 2. sij

    More experiments in using hyperbolic geometry for visualizing higher-dimensional spaces... using right-angled regular (2d)-hedra to visualize two hyperplanes in ℤᵈ, for d=4,3,6.

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  13. 2. sij

    Or they could use the native Beltrami-Klein model to get circular maps of their whole world, which represent straight lines as straight lines and are even more useless.

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  14. 1. sij

    Creatures living in the hyperbolic world may use the native Poincaré model to get conformal, circular, and totally useless maps of their whole world.

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  15. 30. pro 2019.

    After a recent update, HyperRogue shows the actual (well, approximate) number of individual Ivy branches that are destroyed by your attacks. Can you destroy more than the number of atoms in the observable universe? Play web demo:

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  16. 22. pro 2019.

    A four-dimensional analog of the muoctahedron [ ]. Octahedra periodically filling ℝ⁴, each octahedron has a black center and uniformly colored surface. Orthogonally projected slices. Our visualization of 4D ( ) is based on this.

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  17. 21. pro 2019.

    In each iteration, temperature of every cell is the average of temperatures of itself and neighbors in the previous iteration. Even though circles (=shapes reachable in N steps) are polygonal here, heat spreads in perfect Euclidean circles (on a sufficiently symmetric tiling).

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  18. 13. pro 2019.

    It must be scary when all these birds appear out of nowhere. Here they move to random places.

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  19. 13. pro 2019.

    Birds are sitting in a large circle, and suddenly every bird decides to move to the position currently taken by another bird (i -> 4i). Since these birds are in hyperbolic space, the center of the circle becomes very crowded.

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  20. proslijedio/la je Tweet
    6. pro 2019.

    I've been making "educational games" for 5 years. This year I learnt my career was based on a lie New post! “Curse of the Chocolate-Covered Broccoli, or, Emotion in Learning” (9 min read): 🍫🌳 🌳🍫

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  21. 2. pro 2019.

    GeoGuessr but where Geo stands for Geometry? Guess what space we are in.

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