Канал: ZenoRogue

[360° VR] Portals to Non-Euclidean Geometries

[360° VR] Portals to Non-Euclidean Geometries

Non-Euclidean Third Dimension in Games

Non-Euclidean Third Dimension in Games

Making of: Bad Apple, but rendered with hyperbolic planes

Making of: Bad Apple, but rendered with hyperbolic planes

Bad Apple, but rendered with hyperbolic planes

Bad Apple, but rendered with hyperbolic planes

The Biggest Boss Monster Ever! (unedited)

The Biggest Boss Monster Ever! (unedited)

The Biggest Boss Monster Ever!

The Biggest Boss Monster Ever!

Nil Rider Trailer

Nil Rider Trailer

Nil geometry explained!

Nil geometry explained!

Portals to Non-Euclidean Geometries

Portals to Non-Euclidean Geometries

Non-Euclidean Retro Platformer

Non-Euclidean Retro Platformer

Higher-Dimensional Spaces using Hyperbolic Geometry

Higher-Dimensional Spaces using Hyperbolic Geometry

Semi-Euclidean Portals

Semi-Euclidean Portals

Non-Euclidean geometry AND portals!

Non-Euclidean geometry AND portals!

Too many shapes to see all of them

Too many shapes to see all of them

14400-sided die

14400-sided die

HyperRogue non-Euclidean VR demo

HyperRogue non-Euclidean VR demo

Balloons, topology and non-Euclidean geometry

Balloons, topology and non-Euclidean geometry

Non-Euclidean recursive house

Non-Euclidean recursive house

Imprecise Birds

Imprecise Birds

Cool Smooth Cat (Non-Euclidean Portal #shorts)

Cool Smooth Cat (Non-Euclidean Portal #shorts)

Cat Portal: Non-Euclidean Portal in Solv

Cat Portal: Non-Euclidean Portal in Solv

What would you ACTUALLY see in spherical geometry

What would you ACTUALLY see in spherical geometry

Spherical Portal

Spherical Portal

Non-Euclidean Portal (in Nil geometry)

Non-Euclidean Portal (in Nil geometry)

Three-Point Equidistant Projection

Three-Point Equidistant Projection

Illusion of depth in the Gans model

Illusion of depth in the Gans model

Self-Hiding Knot Portal

Self-Hiding Knot Portal

Blocky Knot Portal v2

Blocky Knot Portal v2

Blocky Knot Portal v1

Blocky Knot Portal v1

hyperbolic spirograph

hyperbolic spirograph

Right-angled pentagon

Right-angled pentagon

Bringris Trailer

Bringris Trailer

Hyperbolic analogs of spherical projections

Hyperbolic analogs of spherical projections

Ascending and Descending in Nil

Ascending and Descending in Nil

Weirdly Twisted SL(2,R)

Weirdly Twisted SL(2,R)

Branching random walk in the hyperbolic plane

Branching random walk in the hyperbolic plane

Weirdly Twisted Sphere

Weirdly Twisted Sphere

First-Person shooter on a 3D ball in 3D sphere

First-Person shooter on a 3D ball in 3D sphere

Non-Euclidean FPS: Elliptic Space

Non-Euclidean FPS: Elliptic Space

Non-Euclidean First Person Shooter

Non-Euclidean First Person Shooter

Non-Euclidean Brutalism

Non-Euclidean Brutalism

Special Linear Dance

Special Linear Dance

Comparison: growth

Comparison: growth

Double cube space

Double cube space

Hyperbolic Nebula

Hyperbolic Nebula

Mirrors over and under the hyperbolic plane

Mirrors over and under the hyperbolic plane

Hyperbolic triangles with sliders

Hyperbolic triangles with sliders

Changing Curvature

Changing Curvature

Euclidean plane in non-Euclidean

Euclidean plane in non-Euclidean

Adding mirrors to the {3,5,4} honeycomb

Adding mirrors to the {3,5,4} honeycomb

Non-Euclidean auralization

Non-Euclidean auralization

Perpetuum mobile in Nil geometry

Perpetuum mobile in Nil geometry

Negatively curved cubes

Negatively curved cubes

Twisted H2xE (or stretched PSL)

Twisted H2xE (or stretched PSL)

Stretched spherical geometry (120-cell)

Stretched spherical geometry (120-cell)

Glitch art: spherical geometry

Glitch art: spherical geometry

Stretched spherical geometry

Stretched spherical geometry

Non-Euclidean Sunflowers

Non-Euclidean Sunflowers

Can we simulate spherical geometry in Euclidean space?

Can we simulate spherical geometry in Euclidean space?

Non-Euclidean Snowballs

Non-Euclidean Snowballs

Hyperbolic Glitch

Hyperbolic Glitch

Driving along the impossible ring in Nil

Driving along the impossible ring in Nil

Impossible Ring in Nil

Impossible Ring in Nil

Five Nilbirds

Five Nilbirds

Penrose Triangle Network (VR video V2)

Penrose Triangle Network (VR video V2)

Penrose Triangle Network (VR video)

Penrose Triangle Network (VR video)

Penrose Triangle Network

Penrose Triangle Network

Penrose Chainmail

Penrose Chainmail

Impossible Triangle Possible in Nil Geometry

Impossible Triangle Possible in Nil Geometry

Cubes and dodecahedra in hyperbolic space

Cubes and dodecahedra in hyperbolic space

Regular architecture in {5,3,5}

Regular architecture in {5,3,5}

Heat transfer in a pentagonal tessellation

Heat transfer in a pentagonal tessellation

Hypersian Rug Zebra

Hypersian Rug Zebra

Rotation in horocyclic coordinates

Rotation in horocyclic coordinates

Arnold's Cat mapping torus

Arnold's Cat mapping torus

Hyperbolic space in Poincaré ball model, {5,3,4}, cut in half.

Hyperbolic space in Poincaré ball model, {5,3,4}, cut in half.

Hyperbolic space in Poincaré ball model {4,3,5} cut in half.

Hyperbolic space in Poincaré ball model {4,3,5} cut in half.

Four dimensions using H3

Four dimensions using H3

Spherindrogue

Spherindrogue

SolvRogue

SolvRogue

HyperRogue in first person perspective (V2)

HyperRogue in first person perspective (V2)

HyperRogue in first person perspective (V1)

HyperRogue in first person perspective (V1)

Mathematicians on Twitter

Mathematicians on Twitter

Collatz Conjecture in 3D Hyperbolic Space

Collatz Conjecture in 3D Hyperbolic Space

Birds in Hyperbolic Space

Birds in Hyperbolic Space

Non-Euclidean Hollow Earth

Non-Euclidean Hollow Earth

Emerald Mine in {5,3,4} (version 2)

Emerald Mine in {5,3,4} (version 2)

Emerald Mine in {5,3,4} (old version)

Emerald Mine in {5,3,4} (old version)

Temple of Cthulhu in 3D

Temple of Cthulhu in 3D

HyperRogue world on a Hilbert curve

HyperRogue world on a Hilbert curve

Circular Staircase and the non-Euclidean Geometry (VR video)

Circular Staircase and the non-Euclidean Geometry (VR video)

Euclidean plane in S3 (VR version) -- Rainbow

Euclidean plane in S3 (VR version) -- Rainbow

Euclidean plane in S3 (VR version) -- Volcanic

Euclidean plane in S3 (VR version) -- Volcanic

HyperRogue Orb Strategy Mode gameplay: Palace

HyperRogue Orb Strategy Mode gameplay: Palace

Trapped in a 3-sphere, crocheting Euclidean planes!

Trapped in a 3-sphere, crocheting Euclidean planes!

HyperRogue trailer

HyperRogue trailer

HyperRogue presentation (version 9.2)

HyperRogue presentation (version 9.2)

Hypersian Rug mode

Hypersian Rug mode

Beaded hyperbolic plane

Beaded hyperbolic plane

Brogue 1.7.4: NotEye

Brogue 1.7.4: NotEye

Hydra Slayer trailer

Hydra Slayer trailer

HyperRogue: coop shmup

HyperRogue: coop shmup

HyperRogue presentation

HyperRogue presentation

HyperRogue: a paper model

HyperRogue: a paper model

HyperRogue 7.0: Shoot'em Up mode

HyperRogue 7.0: Shoot'em Up mode

HyperRogue 4.0

HyperRogue 4.0

HyperRogue III

HyperRogue III

NotEye: Brogue (2012)

NotEye: Brogue (2012)

NotEye: Hydra Slayer

NotEye: Hydra Slayer

NotEye: DoomRL

NotEye: DoomRL