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Splitting Concave Polygons a concave polygon with six edges Edge vectors for this polygon E1=(100)E2=( E E E3=(1,-10)E4=(030 E3=(3.00)E=(0-30) E2 E The cross product for two adjacent E dge vectors 0 E1XE2=(001)!E2×E3=(0,0,-2) Splitting a concave polygon using E E4=E4×E3=(009) the vector method (03)E5×E。E6×E1=(00.3) Determinant form i j k Spl(t, the polygon along the line of ax b= det al a2 a3 vector E2. The two new polygons b, b2 b3 9)ia2ba+jab1+ka1b2-iaab2-jay b,. are both convex.E2E3 = (0,0,−2) E4  E5 = (0,0,9) E6E1= (0,0,3) E1 E2 = (0,0,1) E3  E4 = (0,0,3) E5 E6 Split the =(0,0,9) polygon along the line of vector E2 .The two new polygons A concave polygon with six edges. Edge vectors for this polygon: E1 = (1,0,0) E2 = (1,1,0) E3 = (1,−1,0) E4 = (0,3,0) E5 = (− 3,0,0) E6 = (0,−3,0) The cross product for two adjacent edge vectors: Splitting ConcavePolygons Splitting a concave polygon using the vectormethod Determinant form are both convex. 9
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