Figure 14: Hyperbolic paraboloid saddle

Equation: z = 0.15*(x^2-y^2)
Domain: x in [-5.0, 5.0]; y in [-5.0, 5.0]
Variables: dimensionless
Angle mode: radians
Camera: {'yaw': -48, 'elevation': 36, 'distance': 4.8}
Display: Native independent normalization: x/y -> [-1,1], z -> [-0.8,0.8]. Relative z/x exaggeration = 0.8*x_span/z_span. No vertex edits.
Sampled z range: [-3.75, 3.75]
Mesh side: 129

Sampled mesh extrema may differ from exact function extrema; no coordinate labels are projected onto the image.

Caption: At (0,0), z=0 and the gradient vanishes. Values increase along x and decrease along y, so the origin is a saddle.

Alt text: Blue and orange saddle surface curving upward along one direction and downward along the other, on black.

Created with an unreleased SumWise production candidate; public Desktop exports are not promised.
