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The Checker texture map can be set to any color and generates a procedural checkerboard texture.

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Color A – Specifies a color or texture for what would usually be the white squares on the checkerboard.

Color B – Specifies a color or texture for what would usually be the black squares on the checkerboard.

Color Manipulation

Invert Texture –  Inverts the RGB texture values. 

Alpha from Intensity – Uses the texture RGB intensity/ luminance as alpha channel. 

Color Gain –  Corrects the color of the texture by multiplying the the RGB color values in the texture with the RGB color values specified here. When a texture is selected, it overrides the color as long as the texture checkbox is enabled. 

Color Offset – Corrects the color of the texture by adding the RGB color values specified here to the RGB color values of the texture. When a texture is selected, it overrides the color as long as the texture checkbox is enabled. 

Default Color – Specifies a default color used for polygons with no valid UVs. In case the map is not tiled, specifies a default color that is used outside the texture square.  When a texture is selected, it overrides the color as long as the texture checkbox is enabled.

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Mode – Specifies the multiplication mode of the colors.

Multiply – The color used for blending is black.
Blend Amount– The color used for blending is the one specified in the color slot.

Color A – Specifies blends between a color and a texture, if specified.

Color B – Specifies blends between a color and a texture, if specified.

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Type – Controls how the texture is positioned on the geometry.

2D (UV Channel) – The texture uses the object UV coordinates.
Environment – This mode is currently not supported in V-Ray for Revitapplicable if the map is connected to an Environment slot or a Dome light.
Mapping Source – The texture uses an external UV placement source.

2D (UV Channel)

UV Channel/Set – Specifies the index of the mapping channel data to use. A value of 1 takes the first available channel. 

Repeat U/V – Determines how many times the texture is repeated in the 0 to 1 UV square.

Lock U/V Repeat – Locks the U/V Repeat.

Offset U/V – Controls the texture offset in the U and V direction. 

Rotate – Rotates the texture (in degrees). 

Tile U/V – Tiles the texture in the U and V direction. If the option is disabled, the Default texture color is used outside the 0 to 1 UV square. Default color is found in Parameters > Color Manipulation.

Mirror U/V  – Mirrors the texture in the U and V direction separately. The option cuts the texture in the half flipping one side vertically or horizontally. This can be used to avoid seams in-between non-tileable repeated textures. 

Environment

Mapping – Specifies the type and shape of the texture. 

Angular
Cubic
Spherical
Mirror Ball
Screen

Rotate H – Rotates the environment sphere horizontally. 

Flip H – Flips the environment sphere horizontally.  

Rotate V – Rotates the environment sphere vertically.

Flip V – Flips the environment sphere vertically. This option is active only in Spherical Mapping. 

Ground – Enables ground projection of the texture.  

Position X/Y/Z – Offsets the ground projection along the X/Y/Z axis. 

Radius – Specifies a projection radius. Can be used to control the scale of the projection.  

2d Transformation – see 2D (UV channel) parameters.

Texture Remapping

Mode – Determines whether a single or multiple textures should be used for U and V texture coordinates remapping.

UV – The Red input texture channel determines the U sampling coordinate. The Green input texture channel determines the V coordinate.

U – The value of this texture determines the U sampling coordinate.

V – The value of this texture determines the V sampling coordinate.

Mapping Source

UV Placement Source – External UV placement source to be used for the texture placement.Double-sided – This option should be enabled only if support for unique front and back face UVS is required. If enabled, channel "n"is used for front-side UVS and channel "n+1" is used for back-side UVS. 

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2D (UV Channel)

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Environment

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Texture Remapping

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Mapping Source