Gallery
A collection of high resolution pictures from the Thurston geometries. All pictures are distributed under the licence Creative Commons BY-NC-SA 4.0. The pictures are rendered using either the Phong shading model or a path tracer. See the Render page for more details.
Euclidean space
Balloons
5681 x 5722
A collection of spheres in a compact euclidean manifold (Phong shading model)
3-Torus
8000 x 6000
(Path tracing)
The 3-Sphere
The Hopf Fibration
3090 x 1603
A collection of fibers of the Hopf map, reflected in a sphere (Phong shading model)
Hyperbolic space
Hyperbolic Ice
2000 x 3000
Path traced view of hyperbolic tiling, rendered as icy glass (Path tracing)
Hyperbolic Fire
1449 x 2210
Path traced view of hyperbolic tiling, rendered as hot glass (Path tracing)
Balloons
4246 x 4300
A collection of spheres in a compact hyperbolic manifold (Phong shading model)
Hyperbolic blue
4000 x 3000
In-space view of a finite volume hyperbolic manifold (Path tracing)
Seifert-Weber dodecahedral space
4242 x 3998
An in-space view of Seifert Weber Dodecahedral Space (Phong shading model)
Seifert-Weber Space, II
5749 x 5752
Another in-space view of Seifert Weber Dodecahedral Space (Path tracing)
Link Complement
3491 x 1855
Earth in the Whitehead Link Complement (Phong shading model)
$\mathbb{S}^2\times\mathbb{E}$ geometry
Balloons
5698 x 5694
A collection of spheres in a compact $\mathbb{S}^2\times\mathbb{E}$ manifold (Phong shading model)
Balloons: Wide Angle
5706 x 5680
A collection of spheres in a compact $\mathbb{S}^2\times\mathbb{E}$ manifold (Phong shading model)
Earth
3491 x 1855
The Earth Moon system in $\mathbb{S}^2\times\mathbb{E}$ (Phong shading model)
Dodecahedral Tiling
5760 x 5760
A tiling of $\mathbb{S}^2\times\mathbb{E}^1$ with symmetries $A_5\times D_\infty$ (Phong shading model)
$\mathbb{H}^2\times\mathbb{E}$ geometry
Balloons
5709 x 5709
A collection of spheres in a compact $\mathbb{H}^2\times\mathbb{E}$ orbifold (Phong shading model)
Earth
3491 x 1855
The Earth Moon system in a compact Nil Manifold (Phong shading model)
Hyperbolic Plane
3491 x 1855
A hyperbolic plane factor of $\mathbb{H}^2\times\mathbb{E}$, tiled by squares (Phong shading model)
Nil geometry
Balloons
5680 x 5680
A collection of spheres in a compact Nil Manifold (Phong shading model)
Tiling
5760 x 5760
A tiling of Nil, with correct lighting (Phong shading model)
Earth I
3491 x 1855
The Earth Moon system in a compact Nil Manifold (Phong shading model)
Earth II
3491 x 1804
The Earth Moon system in a compact Nil Manifold" (Phong shading model)
SL2 Geometry
Balloons
4859 x 4859
A collection spheres in a compact SL2-manifold (Phong shading model)