3D Surface

Astroidal Ellipsoid Surface

Superquadric surface with star-like cross sections - astroid generalization to 3D in pink-purple gradient.

Lemniscate Revolution Surface

Surface of revolution generated by rotating a lemniscate curve in blue-indigo gradient.

Double Cone Surface

Double nappe cone - fundamental quadric surface meeting at apex in mint-teal gradient.

Bohemian Dome Surface

Quartic surface resembling a dome shape, generated from circle intersections in coral-amber gradient.

Catalan Minimal Surface

Ruled minimal surface - the only ruled minimal surface besides the plane and helicoid in purple-magenta gradient.

Spindle Torus Surface

Self-intersecting torus where minor radius exceeds major radius in teal-cyan gradient.

Horn Torus Surface

Degenerate torus where minor radius equals major radius - self-intersecting at center in coral-red gradient.

Steinmetz Bicylinder Surface

Intersection surface of two perpendicular cylinders - Steinmetz solid in lime-mint gradient.

Cassini Oval Surface

3D surface derived from Cassini oval curves - planetary orbit-like shape in amber-yellow gradient.

Paraboloid Antenna Dish

Circular paraboloid reflector surface used in telecommunications in blue-purple gradient.

Costa Minimal Surface

Embedded minimal surface with three ends - discovered by Costa in 1984, cyan-pink gradient.

Superellipsoid Surface

Generalized ellipsoid with adjustable roundness parameters in neon yellow-green gradient.

Hyperboloid of One Sheet

Ruled doubly curved surface forming a hyperboloid of one sheet in coral-pink gradient.

Triaxial Ellipsoid

General ellipsoid with three different semi-axes in orange-red gradient.

Scherk Minimal Surface

Doubly periodic minimal surface discovered by Heinrich Scherk in purple-blue gradient.

Dupin Cyclide Surface

Cyclide surface with all lines of curvature being circles in mint-teal gradient.

Kuen Pseudospherical Surface

Kuen's surface with constant negative curvature in green-lime gradient.

Breather Soliton Surface

Breather surface from sine-Gordon equation solutions in cyan-purple gradient.

Whitney Umbrella Surface

Classic singularity in differential topology - Whitney's umbrella surface in blue-cyan gradient.

Pseudosphere Tractrix

Pseudospherical surface with constant negative Gaussian curvature in coral-magenta gradient.

Boy Surface Immersion

Immersion of the real projective plane without triple points in purple-pink gradient.

Steiner Roman Surface

Steiner's Roman surface - a self-intersecting mapping of the real projective plane in lime-cyan gradient.

Cross-Cap Surface

Non-orientable surface with self-intersection, rendered in cyan-mint gradient.

Seashell Spiral Surface

Mathematical seashell with logarithmic spiral growth pattern in amber-orange gradient.

Dini's Surface

Twisted pseudospherical surface with constant negative Gaussian curvature, rendered in pink-cyan gradient.

Catenoid Surface

Minimal surface formed by rotating a catenary curve.

Enneper Minimal Surface

Self-intersecting minimal surface with elegant mathematical properties.

Helicoid Surface

Minimal surface shaped like a spiral ramp or parking garage.

Schwefel Function

Deceptive optimization function with global minimum far from local minima.

Sombrero Function

Classic sombrero/hat function sin(r)/r with neon coral-cyan gradient.

Möbius Strip Surface

Classic non-orientable surface with only one side and one edge.

Klein Bottle Immersion

Non-orientable surface immersed in 3D space - a topological curiosity.

Torus Surface

Donut-shaped torus created with parametric equations.

Parametric Sphere

Unit sphere created using parametric equations with spherical coordinates.

Steady-State Heat Distribution

Solution to 2D heat equation showing temperature distribution on a plate.

Monkey Saddle Surface

Surface with three-fold rotational symmetry, z = x³ - 3xy².

Himmelblau's Function

Multi-modal optimization function with four identical local minima.

Ackley Function

Optimization benchmark with nearly flat outer region and deep hole at origin.

Elliptic Paraboloid

Classic bowl-shaped quadric surface z = x² + y².

Rastrigin Function

Highly multimodal optimization test function with many local minima.

Egg Crate Function

Periodic surface sin(x)·sin(y) with regular peaks and valleys.

Bessel Function J₀(r)

Zeroth-order Bessel function of the first kind, important in wave physics.

Mexican Hat Wavelet (Ricker)

2D Ricker wavelet used in signal processing and seismology.

Two-Source Wave Interference

Interference pattern from two point wave sources showing constructive and destructive zones.

Digital Elevation Model

Procedurally generated terrain surface with elevation-based coloring.

Rosenbrock Optimization Landscape

Famous banana-shaped optimization test function with fire colormap.

2D Sinc Function

Cardinal sine (sinc) function in 2D showing central peak and ripples.

Hyperbolic Paraboloid (Saddle)

Classic saddle point surface z = x² - y² with purple-gold gradient.

Gaussian Peak Function

2D Gaussian bell curve surface with light blue custom colormap.

Damped Ripple Wave

Radial sine wave with exponential damping using cyan-magenta custom colormap.