owen

thingiverse

Based on the input and manual computations of areas by joining pairs of vertices in reverse order for 16 segments and the last pair being the same as the first segment's vertex1 for each shape. After which total area of all shapes is found out using a Python Script (refer to end). The combined coordinates and vertices can be calculated using these equations. 1 Shape = [12] A 2-vertices Triangle - Vertices 1, 7 Area = [10/3]*(-22.191780821917806 -20.54794520547945) + 11*(-26.465753424657535-19.561643835616437) = [14] (-29.924425627397245,-39.02739695919708) *1/-13 Shape = [10/3] 2 Shape = [34] A 5 Vertices pentagon - 2,8 and 19;3,4 Area: 0 because these line pairs never touch (outside) So we leave that as a comment 3 Shape = [44] 6 Vertices Hexagon - 10 &16:1,2 ;5,17 ;10&7 6*8=48/9;5 - A = 2(20 +22+27)*(-2)+(3+4)(15) Area =[12]*25 * (33.66667*-2)-(49/5)*(57) =(60+58-70) - ((120+98-49*3))/5 -(2/5)*35=-35 Shape = 10 Shape 2 = [45] A Pentagon: Area A1 19,-8,-20 &13;24 &15 (Area 11(20+21)+3(-18-28) + (22)*(24))/8 = ((-11)*((6)/12 + ((44 +46 +39) *0.66666))) Area [11]* (48 +40.25) - 19*30 =-13.2 Shape = 5 Shapes = [51] An octagon: 5-18 :1 &3;8,19 A=(29+16-35+42)/7.33333 +0 = -8/7 =1/8*(20) =0 Shapes = 52: Hexa-12:13;-23 & 2 ;3,15 and (-4)4 & (-28)25 A=18*4 + (21+10) 6/7 *9 +(11)-3 = 39+90+(14)-12 Area=[3]*33 Shapes = [59]: Hex-17:-11;-14&2 ;(23)&(-24)(17,1),(25)&(-5,0);(-5)& (-4) (1+13)*6 -(32)-(29.66)/ 4+(28)-21 Area=20.98-2-0 Area=18.98 Shape = 4