POLYCENT

c = POLYCENT(poly)

returns the centroid of a polygon poly as an array. The first element contains the x- the second element contains the y-coordinate of the centroid. POLYCENT will return an empty array if the area of the polygon is zero and the centroid is undefined.

POLYCENT is based on code from the article “Centroid of a Polygon” by Gerard Bashein and Paul R. Detmer.

See DRAWPOLY for more information on how to define the polygon.

Example:

polygon = [[50,50], [100,50], [100,100], [50,100], [50,50]]

' Calculate centroid
centroid = polycent(polygon)  
print "Centroid is at: "; centroid

' Draw polygon and a circle at position of the centroid
drawpoly polygon color 12
circle centroid(0), centroid(1) , 5 color 5

ABS ABSMAX ABSMIN ACOS ACOSH ACOT ACOTH ACSC ACSCH ASEC ASECH ASIN ASINH ATAN ATAN2 ATANH ATN CEIL COS COSH COT COTH CSC CSCH DEG DERIV DETERM DIFFEQN EXP EXPRSEQ FIX FLOOR FRAC INT INTERSECT INVERSE LINEQN LOG LOG10 M3APPLY M3IDENT M3ROTATE M3SCALE M3TRANS MAX MIN POLYAREA POLYCENT POLYEXT POW PTDISTLN PTDISTSEG PTSIGN RAD RND ROOT ROUND SEC SECH SEGCOS SEGLEN SEGSIN SEQ SGN SIN SINH SQR STATMEAN STATMEANDEV STATMEDIAN STATSPREADP STATSPREADS STATSTD SUM SUMSQ TAN TANH TRANSPOSE