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The matrix consists of 9 elements, each of which\ndescribes the relationship between the two objects’ interior\nspace, boundary space, or exterior space. Each element will\ndescribe the dimension of the intersection of two spaces, meaning\nthat it may have one of four possible values:",[61,62,63,67,70,73],"ul",{},[64,65,66],"li",{},"“-1”, meaning the spaces do not intersect",[64,68,69],{},"“0”, meaning the dimension of the spaces’\nintersection is zero (i.e., they intersect at a point or set of\npoints).",[64,71,72],{},"“1”, meaning the dimension of the spaces’\nintersection is one (i.e., they intersect along one or more lines).",[64,74,75],{},"“2”, meaning the dimension of the spaces’\nintersection is two (i.e., their intersection is a non-empty\npolygon).",[52,77,78,79],{},"For example, the two polygons x and y shown here:\n",[80,81],"img",{"alt":82,"src":83,"width":84,"height":85,"style":86},"","/_content/images/intersecting-polygons.png",325,150,{"aspectRatio":87},"325/150",[52,89,90],{},"have the following DE-9IM matrix:",[10,92,95],{"className":93},[94],"table-container",[96,97,15,102],"table",{"width":98,"border":99,"style":100,"align":101},"50%",1,"text-align: center; margin: 0 auto;","center",[103,104,105,117,128,144,155],"tbody",{},[106,107,15,108,113],"tr",{},[109,110,15],"td",{"rowSpan":111,"colSpan":112},2,"2",[109,114,116],{"colSpan":115},"3","\n    x\n  ",[106,118,15,119,122,125],{},[109,120,121],{}," Interior ",[109,123,124],{}," Boundary ",[109,126,127],{}," Exterior ",[106,129,15,130,134,136,139,142],{},[109,131,133],{"rowSpan":132},3,"\n    y\n  ",[109,135,121],{},[109,137,138],{}," 2 ",[109,140,141],{}," 1 ",[109,143,138],{},[106,145,15,146,148,150,153],{},[109,147,124],{},[109,149,141],{},[109,151,152],{}," 0 ",[109,154,141],{},[106,156,15,157,159,161,163],{},[109,158,127],{},[109,160,138],{},[109,162,141],{},[109,164,138],{},[52,166,167,168,171],{},"Which would be reported by the ",[169,170,14],"code",{}," primitive\nas the string “212101212”.",[52,173,174,175,180],{},"A much more detailed and formal description of the DE-9IM matrix\nand the associated point-set theory can be found in the ",[22,176,179],{"href":177,"target":178},"http://www.opengeospatial.org/standards/sfs","_blank","OpenGIS Simple\nFeatures Specification for SQL",".",[52,182,183],{},"The objects x and y may be any one of:",[61,185,186,189,192,195,198,201,204],{},[64,187,188],{},"a VectorDataset, in which case the object’s spatial\nrepresentation is the union of all the points, lines, or polygons\nthe dataset contains.",[64,190,191],{},"a VectorFeature, in which case the object’s spatial\nrepresentation is defined by the point, line, or polygon the\nfeature contains.",[64,193,194],{},"A turtle, in which case the spatial representation is a point.",[64,196,197],{},"A link, whose spatial representation is a line segment\nconnecting the two points represented by the turtles the link is\nconnecting.",[64,199,200],{},"A patch, whose spatial representation is a rectangular polygon.",[64,202,203],{},"An agentset, whose spatial representation is the union of the\nrepresentations of all of the agents it contains.",[64,205,206],{},"A list containing of any of the items listed here, including\nanother list. 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