Cubic Lines
A realistic render of a cubic surface with its 27 lines, and the projective plane with six blow up points it arises from.
Art
Paper Tori
100 vertex minimal paper tori, whose moduli trace out an image in the Teichmüller space.
Elliptic Curves over Finite Fields
A gallery of elliptic curves over finite fields — each panel showing the points of a different curve over a different finite field.
Lightfall
Lightcones in spacetimes with multiple black holes.
Space(time)
Still life dyptich in flat space, and in a spacetime with multiple black holes
Geodesic Boards
Wooden boards with geodesics engraved in them.
Julia
The collective behavior of Julia sets in the complex plane producing the Mandelbrot set
Kleinian Creatures from the 4th Dimension
Limit set of a Kleinian group acting on the boundary of hyperbolic 4 space.
Many Paths to the Beach
Intrinsic view of the geometric connect sum of a flat 3 torus and euclidean space.
Singularity
Singularities in algebraic surfaces
Thurston
Intrinsic views of tilings in the Thurston Geometries
Klein in Jade
Limit set of a Kleinian group acting on the boundary of hyperbolic 4 space.
Gyroid
A portion of the gyroid surface, rendered in glass.
Geometry of Knot Complements
Views of knot and link complements in the three sphere.
Balloons
Uniform lattices in the eight Thurston geometries, visualized by colored balls.
Algebraic Starscapes
Roots of algebraic families of integer polynomials.
Hopf
Preimage of a loxodrome curve under the Hopf map
Triangle Symmetry
A one parameter family of convex real projective structures on the (3,3,4) triangle orbifold