Fast Solids Lab

A collection of theory-driven 3D solids generated via analytic deformation operators. Each object encodes constraints, flows, or admissibility envelopes rather than representing physical materials or scenes.

Scalar deformation solid

Scalar Solid

Radial scalar field mapped directly to surface expansion. Demonstrates simple Φ → geometry coupling.

Torsion solid

Torsion Solid

Axial twist induced by a vector-like transport field. Encodes circulation and directional constraint.

Superquadric solid

Superquadric

Smoothly interpolates between spherical and polyhedral forms. Useful for exploring admissible shape families.

Twisted torus

Twisted Torus

Scalar modulation combined with angular transport on a closed loop. Illustrates flow-induced geometry on compact manifolds.

Star convex solid

Star-Convex Envelope

A single admissibility boundary with multiple extrema. Represents constraint envelopes rather than material surfaces.

Fractal tree

Fractal Tree

Branching generated by recursive vector transport. Encodes growth and bifurcation without grammar-based rules.

Many lobed solid

Many-Lobed Solid

High-frequency admissibility modulation producing multiple lobes. Useful for studying constraint saturation and symmetry breaking.

Interlocking fields

Interlocking Fields

Two solids deformed by a shared global field. Interlocking emerges without boolean operations.