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Height plots of general bivariate real functions
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Hyperbolic paraboloid
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.. method:: User.HyperbolicParaboloid(a, Resolution)


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




|TestHyperbolicParaboloid_a| `\quad` |TestHyperbolicParaboloid_b|

.. |TestHyperbolicParaboloid_a| image:: ../_static/ParametricSurfaces/RuledMinimal/TestHyperbolicParaboloid_a.3D.xml.jpg
   :width: 30 %

.. |TestHyperbolicParaboloid_b| image:: ../_static/ParametricSurfaces/RuledMinimal/TestHyperbolicParaboloid_a.3D.xml.jpg
   :width: 30 %



**Left figure**: Hyperbolic paraboloid (see also  Wikipedia :cite:p:`Wikipedia2D010`, :cite:t:`Gray2006`,  :cite:t:`Krivoshapko2015`).

**Right figure**: Hyperbolic paraboloid (see also  Wikipedia :cite:p:`Wikipedia2D011`, :cite:t:`Gray2006`,  :cite:t:`Krivoshapko2015`).




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.









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Array Surface, general
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|picArraySurface|

.. |picArraySurface| image:: ../_static/ExplicitSurfaces/RealFunctions/ArraySurface_small.jpg
   :width: 30 %

**Left figure**: parametric plot of Array Surface, general. Camera angles are `\theta=135^\circ` and `\phi = -12^\circ`.








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Fractal Landscape surface
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|picFractalLandscape|


.. |picFractalLandscape| image:: ../_static/ExplicitSurfaces/RealFunctions/FractalLandscape_small.jpg
   :width: 30 %

**Left figure**: parametric plot of Fractal Landscape surface. Camera angles are `\theta=135^\circ` and `\phi = -12^\circ`.




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Sombrero function
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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|

.. |picTestSurface1| image:: ../_static/ExplicitSurfaces/RealFunctions/TestSurface1.3D.xml.jpg
   :width: 30 %



**Left figure**: real ("silver") and imaginary ("gold") part of the Sombrero function. Camera angles are `\theta=135^\circ` and `\phi = -12^\circ`, camera radius is -2.






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General 3D Wave function
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|picTestSurface2|

.. |picTestSurface2| image:: ../_static/ExplicitSurfaces/RealFunctions/TestSurface2.3D.xml.jpg
   :width: 30 %



**Left figure**: real ("silver") and imaginary ("gold") part of the General 3D Wave function. Camera angles are `\theta=135^\circ` and `\phi = -12^\circ`, camera radius is -2.






Bivariate normal function
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|picTestBivariateNormal_c| `\quad` |picTestBivariateNormal|

.. |picTestBivariateNormal_c| image:: ../_static/ExplicitSurfaces/RealFunctions/TestBivariateNormal_c.3D.xml.jpg
   :width: 30 %

.. |picTestBivariateNormal| image:: ../_static/ExplicitSurfaces/RealFunctions/TestBivariateNormal.3D.xml.jpg
   :width: 30 %



**Left figure**: absolute value of the of the bivariate normal distribution function, with color-coded phase. Camera angles are `\theta=135^\circ` and `\phi = -12^\circ`, camera radius is -2.


**Right figure**:  absolute value of the of the bivariate normal distribution function, with color-coded phase. Camera angles are `\theta=135^\circ` and `\phi = -12^\circ`, camera radius is -2.