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.
A realistic render of a cubic surface with its 27 lines, and the projective plane with six blow up points it arises from.
The collective behavior of Julia sets in the complex plane producing the Mandelbrot set
Lightcones in spacetimes with multiple black holes.
Still life dyptich in flat space, and in a spacetime with multiple black holes
Wooden boards with geodesics engraved in them.
Singularities in algebraic surfaces
Limit set of a Kleinian group acting on the boundary of hyperbolic 4 space.
Limit set of a Kleinian group acting on the boundary of hyperbolic 4 space.
A portion of the gyroid surface, rendered in glass.
Intrinsic view of the geometric connect sum of a flat 3 torus and euclidean space.
Intrinsic views of tilings in the Thurston Geometries
A one parameter family of convex real projective structures on the (3,3,4) triangle orbifold
Preimage of a loxodrome curve under the Hopf map