The Portraits Series
Topology, in art;color and form, on Sachuest’s edge.
Manifolds, fluids, fractals, organisms — each canvas a collection of manifolds forming a subject, observed in the body of Nature.
Subjects
What the paintings are of.
Faces, flowers, spheres, waves, hands, shells. Subjects formed by stitching many manifolds together. Shown here in grayscale — a typological frame, not the canvas itself.
Spheres
Three n-spheres at different scales — manifold study.
Wave
A cresting wave — fluid study, Navier-Stokes by hand.
Sachuest path
Nature study — the path home, where the work begins.
Heart
Organism study — the topology a body actually wears.
Spiral
Logarithmic spiral — the golden mean, drawn from seed to bloom.
Still life
Peach, tomato, corn — organisms in conversation.
Gallery
60 of 60 paintings
Filter by study type. Click any piece for full description and print options.
The structure within
Inside every painting, a manifold.
Sphere, torus, Klein bottle, Möbius band — each lives embedded in the painting’s algorithmic, quasi-analytic structure. The depth of so much ordered distortion is what gives the work its topological depth.
2-sphere
Closed surface. Fibonacci sampling for the Worlds grid.
Torus
Genus-one. The fluid studies all live here.
Klein bottle
Non-orientable. Inside meets outside.
Möbius band
Half-twist. The simplest non-orientable manifold.
3D immersed circle
S¹ embedded in 3-space. Knots, links, the maze.
3-sphere
S³. The Hopf fibration's home.
More from the studio
Beyond the prints.
The Portraits paintings are one thread of the practice. Carvings, physical manifolds, Nature videos, digital files for computation, and original commissions live alongside them.
Carvings
Sculptures, in wood and stone — three-dimensional renditions of the manifolds in the paintings, turned and chiseled by hand.
Manifolds
Physical structures of the math — spheres, immersed circles, tabletop tori, decayed-wood specimens with embedded recordings. Built to be picked up and rotated.
Meditation Videos
Sachuest, in slow looped time — long-form Nature scenes from Rhode Island for offline meditation. Live earlier on .org.
Visit →Digital Files
Source data — point clouds, meshes, parameter sweeps, .obj exports — useful as inputs to your own topological-data-analysis pipelines.
Photographs
Sachuest, Acadia, Joshua Tree — the natural objects the paintings come from.
3D Models
Sculpted manifolds and topological objects, ready for AR/VR or print.
Original Paintings
On commission. Pricing scales with size and study type.
Custom Studies
I'll paint your manifold — for research groups, teaching collections, or gifts.