Height plots of general bivariate real functions

Height plots of general bivariate real functions#

Hyperbolic paraboloid#

User.HyperbolicParaboloid(a, Resolution)#

See also: https://mathworld.wolfram.com/HyperbolicParaboloid.html

TestHyperbolicParaboloid_a \(\quad\) TestHyperbolicParaboloid_b

Left figure: Hyperbolic paraboloid (see also Wikipedia [1462], Gray et al. [368], Krivoshapko and Ivanov [421]).

Right figure: Hyperbolic paraboloid (see also Wikipedia [1444], Gray et al. [368], Krivoshapko and Ivanov [421]).

References

Gray, A. “The Hyperbolic Paraboloid.” Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, pp. 297-298 and 449, 1997.

Array Surface, general#

picArraySurface

Figure: parametric plot of Array Surface, general.

Fractal Landscape surface#

picFractalLandscape

Figure: parametric plot of Fractal Landscape surface.

Sombrero function#

See also: https://en.m.wikipedia.org/wiki/File:Sombrero_function_3d.png

See also: https://mathworld.wolfram.com/JincFunction.html

See also: https://en.wikipedia.org/wiki/Sombrero_function

picTestSurface1

Figure: real The Sombrero function.

General 3D Wave function#

picTestSurface2

Figure: The General 3D Wave function.

Bivariate normal function#

picTestBivariateNormal_c \(\quad\) picTestBivariateNormal

Left Figure: absolute value of the of the bivariate normal distribution function, with color-coded phase

Right figure: absolute value of the of the bivariate normal distribution function, with color-coded phase.

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