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Define Pattern

Linear by Start Point, End Point and Number of Equally Spaced Points
Linear by Start Point, a Vector and Number of Equally Spaced Points
Linear by Start Point, a Vector, and an Incremental Spacing
Linear by Start Point, a Vector and Successive Increments
A Circle, Start and End Angles and the Number of Points
A Circle, Starting Angle, and Angular Increments
A Circle, Starting Angle, and Number of Increments at an Angular Spacing
2 Previously Defined Linear Patterns
A Linear Pattern, Vector and Number of Columns
A Linear Pattern, Vector, Increment and Number of Columns
A Linear Pattern, Vector, and Increments
Random Pattern



Linear by Start Point, End Point and Number of Equally Spaced Points

PATERN/LINEAR,point1,point2,count
The pattern consists of count  equally spaced points between and including point1 and point2.

PAT1=PATERN/LINEAR,P1,P2,7
PAT2=PATERN/LINEAR,P3,P4,7


Linear by Start Point, a Vector and Number of Equally Spaced Points

PATERN/LINEAR,point,vector,count
The pattern consists of count  equally spaced points.  The pattern starts at and includes point.  The length and direction of vector  determines the spacing between the pattern's points.

PAT1=PATERN/LINEAR,P1,V1,8


Linear by Start Point, a Vector, and an Incremental Spacing

PATERN/LINEAR,point,vector,INCR,count,AT,distance
The pattern consists of 1 + count  equally spaced points.  The pattern starts at and includes point.  The spacing between the pattern's points is determined by distance.  The pattern extends in the direction of vector.

Note: APT supports multiple instances of the phrase "INCR,count,AT,distance" in this PATERN definition.  However, this tool does not currently support multiple phrases in a single PATERN statement.  That functionality can easily be created via multiple PATERN statements.

PAT1=PATERN/LINEAR,P1,V1,INCR,8,AT,3.3


Linear by Start Point, a Vector and Successive Increments

PATERN/LINEAR,point,vector,INCR,i₁,i₂,...i_n
The pattern begins at point  and continues with the given successive increments specified by i₁, i₂, ... through i_n.  The pattern extends in the direction of vector.


PAT1=PATERN/LINEAR,P1,V1,INCR,3.0,4.0,7.0,3.5,5.0


A Circle, Start and End Angles and the Number of Points

PATERN/ARC,circle,startangle,endangle,modifier,count
modifier: CCLW | CLW
The pattern consists of count  equally spaced points on circle.  Startangle  and endangle  are measured in degrees off of the positive X-axis.  The points continue in the direction specified by modifier  (CCLW for counterclockwise; CLW for clockwise).

PAT1=PATERN/ARC,C1,30.0,255.0,CCLW,6.0
                                   or
PAT1=PATERN/ARC,C1,255.0,30.0,CLW,6.0


A Circle, Starting Angle, and Angular Increments

PATERN/ARC,circle,startangle,modifier,INCR,a₁,a₂,...a_n
modifier: CCLW | CLW
The pattern consists of points on circle  in the direction specified by modifier  (CCLW for counterclockwise; CLW for clockwise).  The pattern begins at startangle  measured in degrees off of the positive X-axis.  It continues with the given successive angular increments of a₁, a₂, ... through a_n.

PAT1=PATERN/ARC,C1,30.0,CCLW,INCR,45,45,45,45,45



A Circle, Starting Angle, and Number of Increments at an Angular Spacing

PATERN/ARC,circle,startangle,modifier,INCR,count,AT,angle
modifier: CCLW | CLW
The pattern consists of 1 + count  points on circle  in the direction specified by modifier  (CCLW for counterclockwise; CLW for clockwise).  The pattern begins at startangle  measured in degrees off of the positive X-axis.  It continues for count  more points spaced angle  degrees apart.

PAT1=PATERN/ARC,C1,30.0,CCLW,INCR,5.0,AT,45.0


2 Previously Defined Linear Patterns

PATERN/PARLEL,pattern1,pattern2
The pattern consists of a parallelogram which is the amalgamation of pattern1 with pattern2.  The first pattern is repeated for each point in the second pattern.  Either the first or last points in both given patterns must be the same.  The points in the finished pattern zig-zag from row to row (or column to column) in order to minimize cycle time and distance traveled.


PAT3=PATERN/PARLEL,PAT1,PAT2


A Linear Pattern, Vector and Number of Columns

PATERN/PARLEL,pattern,vector,count
The pattern consists of a parallelogram formed by repeating pattern.  The distance and direction of the replication is determined by the length and direction of vector.  The finished pattern includes pattern which is then repeated count  - 1 times.  The points in the finished pattern zig-zag from row to row (or column to column) in order to minimize cycle time and distance traveled.


PAT2=PATERN/PARLEL,PAT1,V1,5.0


A Linear Pattern, Vector, Increment and Number of Columns

PATERN/PARLEL,pattern,vector,INCR,count,AT,distance
The pattern consists of a parallelogram formed by repeating pattern.  The direction of the replication is determined by the direction of vector.  The distance between the repeated patterns is determined by distance.  The finished pattern includes pattern which is then repeated count  times.  The points in the finished pattern zig-zag from row to row (or column to column) in order to minimize cycle time and distance traveled.

Note: APT supports multiple instances of the phrase "INCR,count,AT,distance" in this PATERN definition.  However, this tool does not currently support multiple phrases in a single PATERN statement.  That functionality can easily be created via multiple PATERN statements.

PAT5=PATERN/PARLEL,PAT1,V1,INCR,4.0,AT,3.61


A Linear Pattern, Vector, and Increments

PATERN/PARLEL,pattern,vector,INCR,i₁,i₂,...i_n
The pattern consists of a parallelogram formed by repeating pattern.  Pattern  is repeated in the direction of vector  by the successive increment distances of i₁, i₂,... through i_n.  The points in the finished pattern zig-zag from row to row (or column to column) in order to minimize cycle time and distance traveled.

PAT2=PATERN/PARLEL,PAT1,V1,INCR,2.0,4.0,3.0,4.75


Random Pattern

PATERN/RANDOM,pattern1,point1,point2,pattern2,point3,...
The pattern consists of a collection of previously defined points and/or patterns.  The points in the finished pattern match the order given in the definition.

PAT3=PATERN/RANDOM,P1,P2,P3,PAT1,P5,PAT2,P4