L - linear-ring bowtie LINEARRING(0 0, 100 100, 100 0, 0 100, 0 0) false L - linestring bowtie LINESTRING(0 0, 100 100, 100 0, 0 100, 0 0) true P - point POINT(10 10) true P - empty point POINT EMPTY true P - point with invalid X ordinate POINT(NaN 10) false P - point with invalid Y ordinate POINT(10 NaN) false mP - no repeated points MULTIPOINT((10 10), (20 20), (30 30)) true P - repeated points MULTIPOINT((10 10), (20 20), (30 30), (10 10)) true L - no repeated points LINESTRING (40 180, 120 120, 140 200, 200 140, 240 200) true L - invalid ordinate LINESTRING (40 180, 120 120, 140 200, 200 140, NaN 200) false L - repeated points LINESTRING (40 180, 120 120, 140 200, 140 200, 200 140, 240 200) true L - linestring with two identical points LINESTRING(0 0, 0 0) false mL - MultiLinestring with two identical points in first component MULTILINESTRING((1 1, 0 0), (0 0, 0 0)) false mL - MultiLinestring with two identical points in second component MULTILINESTRING((1 1, 0 0), (0 0, 0 0)) false A - zero-area polygon POLYGON ((0 0, 0 0, 0 0, 0 0, 0 0)) false A - polygon with too few points POLYGON ((0 0, 10 0, 20 0, 0 0, 0 0)) false A - polygon with invalid point POLYGON ((0 0, 10 NaN, 20 0, 0 10, 0 0)) false A - polygon with repeated point POLYGON ((107 246, 107 246, 250 285, 294 137, 151 90, 15 125, 157 174, 107 246)) true A - polygon with degenerate hole ring (A-B-A) POLYGON ((0 0, 0 240, 260 240, 260 0, 0 0), (220 200, 40 200, 40 20, 40 200, 220 200, 220 200)) false mA - multipolygon with component with too few points MULTIPOLYGON ( ((100 20, 180 20, 180 100, 100 100, 100 20)), ((20 100, 100 100, 100 180, 20 180, 20 100)), ((100 180, 180 180, 180 260, 100 260, 100 180)), ((180 100, 180 180, 180 180, 180 100))) false A - polygon self-intersects at non-vertex POLYGON ((0 40, 0 0, 40 40, 40 0, 0 40)) false A - polygon self-intersects at vertex MULTIPOLYGON ( ((0 40, 20 20, 40 0, 40 40, 20 20, 0 0, 0 40)) ) false A - polygon self-intersects at vertex/non-vertex POLYGON ((0 40, 20 20, 40 0, 40 40, 0 0, 0 40)) false A - hole self-intersects at non-vertex POLYGON ((-10 50, 50 50, 50 -10, -10 -10, -10 50), (0 40, 0 0, 40 40, 40 0, 0 40)) false A - polygon self-intersects at vertex POLYGON ((-10 50, 50 50, 50 -10, -10 -10, -10 50), (0 40, 20 20, 40 0, 40 40, 20 20, 0 0, 0 40)) false A - polygon self-intersects at vertex/non-vertex POLYGON ((-10 50, 50 50, 50 -10, -10 -10, -10 50), (0 40, 20 20, 40 0, 40 40, 0 0, 0 40)) false A - Valid doughnut POLYGON ((0 60, 0 0, 60 0, 60 60, 0 60), (20 40, 20 20, 40 20, 40 40, 20 40)) true A - shell has repeated points POLYGON ((0 60, 0 0, 0 0, 60 0, 60 60, 0 60), (20 40, 20 20, 40 20, 40 40, 20 40)) true A - shell touches hole without crossing it (valid) POLYGON ((0 60, 0 0, 60 0, 60 60, 0 60), (20 40, 20 20, 60 20, 20 40)) true A - shell touches hole without crossing it, but does so twice (invalid) POLYGON ((0 60, 0 0, 60 0, 60 60, 0 60), (0 40, 20 20, 60 20, 0 40)) false A - hole touches hole without crossing it (valid) POLYGON ((0 120, 0 0, 140 0, 140 120, 0 120), (100 100, 100 20, 120 20, 120 100, 100 100), (20 100, 20 40, 100 40, 20 100)) true A - holel touches hole without crossing it, but does so twice (invalid) POLYGON ((0 120, 0 0, 140 0, 140 120, 0 120), (100 100, 100 20, 120 20, 120 100, 100 100), (20 100, 20 40, 100 40, 80 60, 100 80, 20 100)) false A - hole touches hole without crossing it, but does so at an infinite number of points (invalid) POLYGON ((0 120, 0 0, 140 0, 140 120, 0 120), (100 100, 100 20, 120 20, 120 100, 100 100), (20 100, 20 40, 100 40, 100 80, 20 100)) false A - spike (invalid) POLYGON ((0 60, 0 0, 60 0, 60 20, 100 20, 60 20, 60 60, 0 60)) false A - puncture (invalid) POLYGON ((0 60, 0 0, 60 0, 60 20, 20 20, 60 20, 60 60, 0 60)) false A - hole within a hole (invalid) POLYGON ((0 140, 0 0, 180 0, 180 140, 0 140), (20 20, 160 20, 160 120, 20 120, 20 20), (40 100, 40 40, 140 40, 140 100, 40 100)) false A - empty shell and holes (valid) POLYGON (EMPTY, EMPTY, EMPTY) true A - hole overlapping shell at non-vertex POLYGON ((60 280, 260 180, 60 80, 60 280), (140 80, 120 180, 200 180, 140 80)) false A - shell self-overlaps POLYGON ((60 340, 60 100, 340 100, 340 280, 340 200, 340 340, 60 340)) false A - hole with repeated points POLYGON ((40 260, 40 60, 120 60, 180 160, 240 60, 300 60, 300 260, 40 260), (70 230, 80 230, 80 220, 80 220, 70 230)) true A - hole outside but adjacent to shell POLYGON ((40 260, 40 60, 120 60, 180 160, 240 60, 300 60, 300 260, 40 260), (180 160, 240 60, 120 60, 180 160)) false A - hole touches shell at two points POLYGON ((240 260, 40 260, 40 80, 240 80, 240 260), (140 180, 40 180, 140 260, 140 180)) false A - hole touches shell at one non-vertex point POLYGON ((240 260, 40 260, 40 80, 240 80, 240 260), (140 180, 40 180, 140 240, 140 180)) true A - hole touches shell at one vertex point POLYGON ((240 260, 40 260, 40 80, 240 80, 240 260), (140 180, 40 260, 140 240, 140 180)) true A - hole outside shell POLYGON ((20 180, 20 20, 140 20, 140 180, 20 180), (160 120, 180 100, 160 80, 160 120)) false A - hole identical to shell POLYGON ((20 180, 20 20, 140 20, 140 180, 20 180), (20 180, 20 20, 140 20, 140 180, 20 180)) false A - hole identical to shell POLYGON ((20 180, 20 20, 140 20, 140 180, 20 180), (20 180, 20 20, 140 20, 140 180, 20 180)) false A - hole self-intersects POLYGON ((380 340, 40 340, 40 20, 380 20, 380 340), (120 300, 300 280, 320 200, 160 140, 200 80, 320 120, 320 200, 360 60, 120 40, 120 300)) false A - holes overlap, first point is identical POLYGON ((20 320, 260 320, 260 20, 20 20, 20 320), (140 280, 80 100, 200 100, 140 280), (140 280, 40 80, 240 80, 140 280)) false A - holes do not overlap, first point is identical POLYGON ((20 320, 240 320, 240 40, 20 40, 20 320), (140 180, 60 120, 60 240, 140 180), (140 180, 200 120, 200 240, 140 180)) true A - shell self-touches at vertex POLYGON ((340 320, 340 200, 200 280, 200 80, 340 200, 340 20, 60 20, 60 340, 340 320)) false A - shell self-touches at non-vertex POLYGON ((300 320, 300 220, 260 260, 180 220, 360 220, 360 140, 120 140, 120 320, 300 320)) false A - chain of holes surrounds an island inside the polygon POLYGON ((40 300, 40 20, 280 20, 280 300, 40 300), (120 240, 80 180, 160 220, 120 240), (220 240, 160 220, 220 160, 220 240), (160 100, 80 180, 100 80, 160 100), (160 100, 220 160, 240 100, 160 100)) false A - chain of holes splits polygon in two (touching at vertices) POLYGON ((40 320, 340 320, 340 20, 40 20, 40 320), (100 120, 40 20, 180 100, 100 120), (200 200, 180 100, 240 160, 200 200), (260 260, 240 160, 300 200, 260 260), (300 300, 300 200, 340 320, 300 300)) false A - chain of holes splits polygon in two (touching at non-vertex) POLYGON ((40 320, 340 320, 340 20, 40 20, 40 320), (100 120, 40 20, 180 100, 100 120), (200 200, 180 100, 240 160, 200 200), (260 260, 240 160, 300 200, 260 260), (300 300, 300 200, 340 260, 300 300)) false A - holes touch in one point POLYGON ((190 190, 360 20, 20 20, 190 190), (90 50, 150 110, 190 50, 90 50), (190 50, 230 110, 290 50, 190 50)) true A - holes touch in one point POLYGON ((190 190, 360 20, 20 20, 190 190), (90 50, 150 110, 190 50, 90 50), (190 50, 230 110, 290 50, 190 50)) true A - one holes touches another at all vertices POLYGON( (0 0, 0 5, 6 5, 6 0, 0 0), (2 1, 4 1, 3 2, 2 1), (2 1, 1 4, 5 4, 4 1, 4 3, 3 2, 2 3, 2 1) ) false A - one holes touches another at several vertices POLYGON ((0 0, 0 5, 6 5, 6 0, 0 0), (2.5 1, 3.5 1, 3.5 2, 2.5 2, 2.5 1), (2.5 1.5, 1 4, 5 4, 3.5 1.5, 4 3, 3 2, 2 3, 2.5 1.5)) false A - hole disconnects interiors POLYGON ((0 0, 10 10, 10 0, 0 0), (5 5, 5 0, 10 5, 5 5)) false A - touching holes do NOT disconnect (isCCW bug) POLYGON ((60 40, 60 240, 460 240, 460 40, 60 40), (260 200, 340 60, 400 120, 260 200), (260 200, 120 100, 200 60, 260 200)) true mA - adjacent shells (shared vertices) MULTIPOLYGON (((40 120, 140 120, 140 40, 40 40, 40 120)), ((140 120, 40 120, 40 200, 140 200, 140 120))) false mA - adjacent shells (different vertices) MULTIPOLYGON (((40 120, 140 120, 140 40, 40 40, 40 120)), ((160 120, 60 120, 40 200, 140 200, 160 120))) false mA - nested overlapping shells MULTIPOLYGON (((80 260, 240 260, 240 100, 80 100, 80 260)), ((120 240, 220 240, 220 140, 120 140, 120 240))) false mA - nested non-overlapping shells MULTIPOLYGON (((60 320, 60 80, 300 80, 60 320), (80 280, 80 100, 260 100, 80 280)), ((120 160, 140 160, 140 140, 120 160))) true mA - nested non-overlapping shells, all vertices touch MULTIPOLYGON (((20 380, 420 380, 420 20, 20 20, 20 380), (220 340, 180 240, 60 200, 180 160, 340 60, 240 220, 220 340)), ((180 240, 180 160, 240 220, 180 240))) true mA - nested overlapping shells, all vertices touch MULTIPOLYGON (((20 380, 420 380, 420 20, 20 20, 20 380), (220 340, 180 240, 60 200, 140 100, 340 60, 300 240, 220 340)), ((60 200, 340 60, 220 340, 60 200))) false mA - nested non-overlapping shells, all vertices touch MULTIPOLYGON (((20 380, 420 380, 420 20, 20 20, 20 380), (220 340, 80 320, 60 200, 140 100, 340 60, 300 240, 220 340)), ((60 200, 340 60, 220 340, 60 200))) true mA - nested overlapping shells, all vertices touch MULTIPOLYGON (((20 380, 420 380, 420 20, 20 20, 20 380), (220 340, 180 240, 60 200, 200 180, 340 60, 240 220, 220 340)), ((60 200, 340 60, 220 340, 60 200))) false mA - disconnected exterior MULTIPOLYGON (((100 20, 180 20, 180 100, 100 100, 100 20)), ((20 100, 100 100, 100 180, 20 180, 20 100)), ((100 180, 180 180, 180 260, 100 260, 100 180)), ((180 100, 260 100, 260 180, 180 180, 180 100))) true mA - shells touch in single point MULTIPOLYGON (((110 110, 70 200, 150 200, 110 110)), ((110 110, 150 20, 70 20, 110 110))) true mA - duplicate shells MULTIPOLYGON (((60 300, 320 220, 260 60, 60 100, 60 300)), ((60 300, 320 220, 260 60, 60 100, 60 300))) false mA - shells are not nested but share all vertices MULTIPOLYGON (((180 60, 240 160, 300 60, 180 60)), ((80 80, 180 60, 160 140, 240 160, 360 140, 300 60, 420 100, 320 280, 120 260, 80 80))) true mA - shell is nested inside first hole MULTIPOLYGON (((0 0, 0 8, 8 8, 8 0, 0 0), (3 3, 7 3, 7 7, 3 7, 3 3), (1 1, 2 1, 2 2, 1 2, 1 1)), ((4 4, 4 6, 6 6, 6 4, 4 4))) true