# NormalsFunction

is an option for Plot3D and related functions that specifies a function to apply to determine the effective surface normals at every point.

# Details

• The following settings can be given:
•  None determine normals from explicit polygon vertices Automatic determine normals from overall surface properties f determine normals by applying a function f
• With , the arguments supplied to f are as follows:
•  Plot3D x, y, z ParametricPlot3D x, y, z, u, v ContourPlot3D x, y, z, w RegionPlot3D x, y, z
• The function f must return a vector of the form {vx,vy,vz}. Only the direction of this vector matters; the vector is in effect automatically normalized to unit length.

# Examples

## Basic Examples(3)

Use automatic methods to compute surface normals:

Make the effective normals to the surface vary locally:

Use flat shading for all polygons:

Wolfram Research (2007), NormalsFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/NormalsFunction.html.

#### Text

Wolfram Research (2007), NormalsFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/NormalsFunction.html.

#### CMS

Wolfram Language. 2007. "NormalsFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/NormalsFunction.html.

#### APA

Wolfram Language. (2007). NormalsFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/NormalsFunction.html

#### BibTeX

@misc{reference.wolfram_2024_normalsfunction, author="Wolfram Research", title="{NormalsFunction}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/NormalsFunction.html}", note=[Accessed: 06-August-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_normalsfunction, organization={Wolfram Research}, title={NormalsFunction}, year={2007}, url={https://reference.wolfram.com/language/ref/NormalsFunction.html}, note=[Accessed: 06-August-2024 ]}