# Rectangle3D

The Rectangle3D function allows you to create a fixtured 2D rectangle in the point cloud. It returns a Rectangle3D structure containing the settings of the fixtured rectangle.

# Rectangle3D Inputs

The Rectangle3D function has the following syntax:

Rectangle3D(PointCloud,Fixture3D,ExternalFixture,Rectangle3D,Show)

Parameter | Description
PointCloud | Reference to a cell containing a point cloud. The default value is $A$0.
Fixture3D | Specifies the point cloud coordinate system in which the 3D fixture is defined. It is offset from the PointCloud origin in the following format with the following arguments: {X, Y, Z, Rotation, Tilt, TiltDirection}
X | Offset on the X-axis from the PointCloud origin.
Y | Offset on the Y-axis from the PointCloud origin.
Z | Offset on the Z-axis from the PointCloud origin.
Rotation | Specifies the in-plane rotation in degrees around the PointCloud Z-axis. The value range is -180 to 180. The tool normalizes external references with values outside the allowed range to the allowed range.
Tilt | Specifies the tilt angle in degrees from the PointCloud Z-axis after rotation. The value range is 0-180. External references with values outside the allowed range result in an error.
Tilt Direction | Specifies the direction of tilt in degrees from the rotated PointCloud X-axis of the tool, around the PointCloud Z-axis of the tool. The value range is -180 to 180. The tool normalizes external references with values outside the allowed range to the allowed range.
Note: The Fixture3D parameter is only available if you set External Fixture to 0.
External Fixture | Specifies a reference to a Fixture3D structure defined in another cell. The function uses the referenced cell as the fixture of the function. Set to 0 (OFF) to use the internal fixture of the function instead.
Rectangle3D | Specifies the dimensions, offset and angle of the function's 3D rectangle. It is offset from the Fixture3D origin in the following format with the following arguments: {SizeX, SizeY, X, Y, Z, Rotation, Tilt, TiltDirection}
SizeX | The rectangle's size along the Fixture3D X-axis. The value range is 0.001 to inf.
SizeY | The rectangle's size along the Fixture3D Y-axis. The value range is 0.001 to inf.
X | Offset on the X-axis from the Fixture3D origin. The value range is -inf. to inf.
Y | Offset on the Y-axis from the Fixture3D origin. The value range is -inf. to inf.
Z | Offset on the Z-axis from the Fixture3D origin. The value range is -inf. to inf.
Rotation | Specifies the in-plane rotation (in degrees) about the tool's Fixture3D Z-axis. The value range is -360 to 360. External references with values outside the allowed range will be normalized to the allowed range.
Tilt | Specifies the tilt angle (in degrees) from the tool's Fixture3D Z-axis after rotation. The value range is 0 - 180. External references with values outside the allowed range will result in an error.
Tilt Direction | Specifies the direction of tilt (in degrees) from the tool's rotated Fixture3D X-axis, about the tool's Fixture3D Z-axis. The value range is -360 to 360. External references with values outside the allowed range will be normalized to the allowed range.
Show | Selects the type of graphics to overlay on the image.
0 = hide all (default) | All graphics will be hidden, except when the cell containing the function is highlighted in the spreadsheet.
2 = input graphics only | The input data will be displayed at all times.

# Rectangle3D Outputs

Returns | A Rectangle3D structure containing the parameters of the configured rectangle, or #ERR if any parameter has been configured incorrectly.
Results | When initially inserted into a cell, the following functions are automatically inserted into the spreadsheet to create a result table.
| SizeX | SizeY | X | Y | Z | Rotation | Tilt | Tilt Direction
❒Rectangle3D | GetSizeX(Rectangle3D) | GetSizeY(Rectangle3D)) | GetX(Rectangle3D) | GetY(Rectangle3D) | GetZ(Rectangle3D) | GetRotation(Rectangle3D) | GetTilt(Rectangle3D) | GetTiltDirection(Rectangle3D)

## Rectangle3D Data Access Functions

The following 3D Data Access functions are automatically inserted into the spreadsheet to create the result table:

Function | Description
GetRotation(Rectangle3D) | Returns the rotation of the Z-axis in degrees, also known as the in-plane rotation.
GetSizeX(Rectangle3D) | Returns the X-axis size of the rectangle.
GetSizeY(Rectangle3D) | Returns the Y-axis size of the rectangle.
GetTilt(Rectangle3D) | Returns the tilt angle of the Rectangle3D structure in degrees on the Z-axis.
GetTiltDirection(Rectangle3D) | Returns the tilt direction angle of the specified Rectangle3D structure in degrees. The angle is measured in the X-Y plane of the original reference coordinate system, and specifies the direction for the projection of the tilted Z-axis onto that plane.
GetX(Rectangle3D) | Returns the X-axis coordinate of the rectangle's center point.
GetY(Rectangle3D) | Returns the Y-axis coordinate of the rectangle's center point.
GetZ(Rectangle3D) | Returns the Z-axis coordinate of the rectangle's center point.