Figure Cabri II Plus vers. MS-Windows 1.2.4.8 Used macro Equilateral Triangle, Equilateral Triangle Icon: 16x16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 7 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 7 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 7 0 15 15 7 7 7 7 7 7 7 7 7 7 7 7 15 15 15 15 0 0 0 0 0 0 0 0 0 0 0 0 15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 32x32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 15 15 15 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 101 15 15 15 15 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 119 15 15 15 15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 97 66 5 15 15 15 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 125 36 81 75 174 36 36 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 185 36 36 1 1 1 36 36 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 36 36 36 1 0 1 1 36 36 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 77 36 36 1 0 0 0 1 36 36 36 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 79 36 36 1 1 0 0 0 0 1 1 36 36 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 36 36 36 1 0 0 0 0 0 0 1 1 36 36 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 36 36 36 1 0 0 0 0 0 0 0 1 36 36 36 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 80 185 36 1 0 0 0 0 0 0 0 0 0 1 36 36 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 75 36 36 1 0 0 0 0 0 0 0 0 0 1 1 36 36 36 0 0 0 0 0 0 0 0 0 0 0 0 0 81 65 36 1 0 0 0 0 0 0 0 0 0 0 0 1 1 36 36 1 1 0 0 0 0 0 0 0 0 0 0 1 79 36 36 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 36 36 36 0 0 0 0 0 0 0 0 0 0 80 36 36 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 36 36 36 36 0 0 0 0 0 0 0 0 1 36 36 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 36 36 0 0 0 0 0 0 0 211 183 80 185 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 211 0 1 1 205 1 0 0 0 0 0 245 226 124 66 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 82 68 225 0 0 0 0 0 121 115 111 111 127 181 180 180 181 181 180 180 190 190 180 181 180 180 181 180 190 190 181 186 73 118 111 0 101 0 0 245 110 115 116 110 85 81 81 80 81 81 81 79 80 81 81 80 81 80 80 81 81 80 76 84 66 111 116 111 91 253 0 245 118 110 108 90 128 186 178 68 69 178 178 178 68 68 186 180 178 186 68 68 178 68 178 178 127 119 110 90 91 0 0 0 230 97 91 102 159 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 102 91 101 230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 40 40 40 0 0 0 0 0 0 0 0 0 40 0 0 0 40 40 40 0 0 0 40 0 0 0 0 0 0 0 0 0 40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 40 40 0 0 40 40 40 0 40 0 40 0 40 0 0 0 0 40 0 40 40 0 40 0 0 0 0 0 0 0 0 0 40 0 0 0 40 0 40 0 40 0 40 0 40 0 0 0 0 40 0 40 0 0 40 0 0 0 0 0 0 0 0 0 40 40 40 0 40 40 40 0 40 40 40 0 40 40 0 0 0 40 0 40 0 0 40 40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Help: "This macro will create an equilateral triangle. Select a segment that will be a side of the triangle." Mth: 0 CN:1, ON:9, FN:3, PO:8 CT: segment, CS 2, default settings, Const: Mid, Mth:0, 0, CN:2, VN:1, Const: 2 1 Sym, Mth:0, 0, CN:2, VN:1, Const: 1 4 Cir, Mth:1, 0, CN:2, VN:2, Const: 1 5 Mid, Mth:0, 0, CN:2, VN:1, Const: 2 2 Sym, Mth:0, 0, CN:2, VN:1, Const: 1 7 Cir, Mth:1, 0, CN:2, VN:2, Const: 2 8 Int, Mth:0, 1, CN:2, VN:1, int ind:0x10000, Const: 6 9, default settings, Int, Mth:0, 1, CN:2, VN:1, int ind:0, Const: 3 6, default settings, Tr, Mth:0, 1, CN:3, VN:4, Const: 1 11 10, default settings, Sierpinski Triangle in Blue, Sierpinski Triangle Icon: 16x16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 7 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 7 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 7 0 15 15 7 7 7 7 7 7 7 7 7 7 7 7 15 15 15 15 0 0 0 0 0 0 0 0 0 0 0 0 15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 32x32 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 25 25 25 25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 25 25 25 25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 25 25 25 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 25 25 25 66 205 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 178 70 125 15 81 75 174 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 82 79 185 15 74 81 75 205 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 176 80 75 15 15 15 74 81 83 202 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 190 81 77 15 15 15 15 83 80 75 174 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 184 79 186 15 15 15 15 15 83 81 75 205 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 208 80 74 174 15 15 15 15 15 15 15 80 75 205 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 190 81 178 15 15 15 15 15 15 15 15 83 80 183 208 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 183 80 185 36 36 36 36 36 36 36 36 36 74 81 75 203 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 205 80 75 208 36 36 4 4 4 4 4 4 36 15 72 81 75 208 0 0 0 0 0 0 0 0 0 0 0 0 0 0 190 81 65 15 15 36 4 4 4 4 4 4 36 15 15 83 80 75 203 0 0 0 0 0 0 0 0 0 0 0 0 211 183 79 15 15 15 36 36 4 4 4 4 36 15 15 15 15 83 76 75 208 0 0 0 0 0 0 0 0 0 0 0 205 80 73 15 15 15 15 36 36 4 4 36 36 15 15 15 15 15 83 80 75 205 0 0 0 0 0 0 0 0 0 0 180 80 83 15 15 15 15 15 36 36 4 36 15 15 15 15 15 15 15 83 80 75 203 0 0 0 0 0 0 0 0 211 183 80 185 15 15 15 15 15 15 36 36 15 15 15 15 15 15 15 15 15 83 80 75 205 0 0 0 0 0 0 245 11 25 66 208 15 15 15 15 15 15 15 36 15 15 15 15 15 15 15 15 15 15 74 82 68 225 101 0 0 0 0 25 25 25 25 127 181 180 180 181 181 180 180 190 190 180 181 180 180 181 180 190 190 181 186 73 11 25 25 11 0 0 3 25 25 25 25 85 81 81 80 81 81 81 79 80 81 81 80 81 80 80 81 81 80 76 84 66 25 25 25 25 253 0 245 25 25 25 25 128 186 178 68 69 178 178 178 68 68 186 180 178 186 68 68 178 68 178 178 127 25 25 25 25 0 0 0 25 25 25 25 159 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 25 25 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Help: "Select a triangle. This macro will perform the first step in making a Sierpinski triangle." Mth: 0 CN:1, ON:6, FN:6, PO:3 CT: triangle, CS 3, fill color:pat, Const: Mid, Mth:1, 1, CN:1, VN:1, side:0, Const: 4, default settings, Mid, Mth:1, 1, CN:1, VN:1, side:1, Const: 4, default settings, Mid, Mth:1, 1, CN:1, VN:1, side:2, Const: 4, default settings, Tr, Mth:0, 1, CN:3, VN:4, Const: 5 1 7, fill color:Bl, Tr, Mth:0, 1, CN:3, VN:4, Const: 7 6 3, fill color:Bl, Tr, Mth:0, 1, CN:3, VN:4, Const: 2 5 6, fill color:Bl, Figure description: Window center x: 7.00cm y: -2.05cm Window size x: 24.71cm y: 15.89cm Resolution: 38 ppc 1: Pt, Val: 0 0 invisible, 2: Axes, Const: 1, cart, Val: 1 0 0 1 invisible, 3: Pt, Val: -4.31578947368421 -0.342105263157895 4: Pt, Val: 0.473684210526316 -0.342105263157895 5: Seg, Const: 3, 4, Ma: Equilateral Triangle, Const: 5 i: 0 13: Ma R, F No1, int ind:0x10000, 15: Ma R, F No2, int ind:0, 16: Ma R, F No3, fill color:pat, Ma: Sierpinski Triangle in Blue, Const: 16 i: 1 17: Ma R, F No1, side:0, 18: Ma R, F No2, side:1, 19: Ma R, F No3, side:2, 20: Ma R, F No4, fill color:pat, 21: Ma R, F No5, fill color:pat, 22: Ma R, F No6, fill color:pat, Ma: Sierpinski Triangle in Blue, Const: 21 i: 0 23: Ma R, F No1, side:0, 24: Ma R, F No2, side:1, 25: Ma R, F No3, side:2, 26: Ma R, F No4, fill color:pat, 27: Ma R, F No5, fill color:pat, 28: Ma R, F No6, fill color:pat, Ma: Sierpinski Triangle in Blue, Const: 22 i: 1 29: Ma R, F No1, side:0, 30: Ma R, F No2, side:1, 31: Ma R, F No3, side:2, 32: Ma R, F No4, fill color:pat, 33: Ma R, F No5, fill color:pat, 34: Ma R, F No6, fill color:pat, Ma: Sierpinski Triangle in Blue, Const: 20 i: 2 35: Ma R, F No1, side:0, 36: Ma R, F No2, side:1, 37: Ma R, F No3, side:2, 38: Ma R, F No4, fill color:pat, 39: Ma R, F No5, fill color:pat, 40: Ma R, F No6, fill color:pat, Ma: Sierpinski Triangle in Blue, Const: 27 i: 0 41: Ma R, F No1, side:0, 42: Ma R, F No2, side:1, 43: Ma R, F No3, side:2, 44: Ma R, F No4, fill color:Bl, 45: Ma R, F No5, fill color:Bl, 46: Ma R, F No6, fill color:Bl, Ma: Sierpinski Triangle in Blue, Const: 28 i: 1 47: Ma R, F No1, side:0, 48: Ma R, F No2, side:1, 49: Ma R, F No3, side:2, 50: Ma R, F No4, fill color:Bl, 51: Ma R, F No5, fill color:Bl, 52: Ma R, F No6, fill color:Bl, Ma: Sierpinski Triangle in Blue, Const: 26 i: 2 53: Ma R, F No1, side:0, 54: Ma R, F No2, side:1, 55: Ma R, F No3, side:2, 56: Ma R, F No4, fill color:Bl, 57: Ma R, F No5, fill color:Bl, 58: Ma R, F No6, fill color:Bl, Ma: Sierpinski Triangle in Blue, Const: 39 i: 2 59: Ma R, F No1, side:0, 60: Ma R, F No2, side:1, 61: Ma R, F No3, side:2, 62: Ma R, F No4, fill color:Bl, 63: Ma R, F No5, fill color:Bl, 64: Ma R, F No6, fill color:Bl, Ma: Sierpinski Triangle in Blue, Const: 38 i: 2 65: Ma R, F No1, side:0, 66: Ma R, F No2, side:1, 67: Ma R, F No3, side:2, 68: Ma R, F No4, fill color:Bl, 69: Ma R, F No5, fill color:Bl, 70: Ma R, F No6, fill color:Bl, Ma: Sierpinski Triangle in Blue, Const: 40 i: 1 71: Ma R, F No1, side:0, 72: Ma R, F No2, side:1, 73: Ma R, F No3, side:2, 74: Ma R, F No4, fill color:Bl, 75: Ma R, F No5, fill color:Bl, 76: Ma R, F No6, fill color:Bl, Ma: Sierpinski Triangle in Blue, Const: 34 i: 1 77: Ma R, F No1, side:0, 78: Ma R, F No2, side:1, 79: Ma R, F No3, side:2, 80: Ma R, F No4, fill color:Bl, 81: Ma R, F No5, fill color:Bl, 82: Ma R, F No6, fill color:Bl, Ma: Sierpinski Triangle in Blue, Const: 33 i: 0 83: Ma R, F No1, side:0, 84: Ma R, F No2, side:1, 85: Ma R, F No3, side:2, 86: Ma R, F No4, fill color:Bl, 87: Ma R, F No5, fill color:Bl, 88: Ma R, F No6, fill color:Bl, Ma: Sierpinski Triangle in Blue, Const: 32 i: 2 89: Ma R, F No1, side:0, 90: Ma R, F No2, side:1, 91: Ma R, F No3, side:2, 92: Ma R, F No4, fill color:Bl, 93: Ma R, F No5, fill color:Bl, 94: Ma R, F No6, fill color:Bl, 95: Area, Const: 16, Val: 0 0 14343.1, A, P, NbD:2, FD, cm2, p: 0, Arial, S: 12 C: 40 Fa: 0 96: Text, Const: 16, inc.elmts: 95, Val: -13 -202 0, A, nP, "Original equilateral triangle area "#" TP: -0.342105263157895, 5.31578947368421, TS: 7.52631578947368, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 97: Area, Const: 21, Val: 0 0 3585.78, A, P, NbD:2, FD, cm2, p: 0, Arial, S: 12 C: 40 Fa: 0 98: Text, Const: 21, inc.elmts: 97, Val: -11 -174 0, A, nP, "First macro created triangles with area "#" TP: -0.289473684210526, 4.57894736842105, TS: 8.71052631578947, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 99: Area, Const: 28, Val: 0 0 896.445, A, P, NbD:2, FD, cm2, p: 0, Arial, S: 12 C: 40 Fa: 0 100: Text, Const: 28, inc.elmts: 99, Val: -13 -146 0, A, nP, "Second macro created triangles with area "#" TP: -0.342105263157895, 3.84210526315789, TS: 9.31578947368421, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 101: Area, Const: 52, Val: 0 0 224.111, A, P, NbD:2, FD, cm2, p: 0, Arial, S: 12 C: 40 Fa: 0 102: Text, Const: 52, inc.elmts: 101, Val: -14 -119 0, A, nP, "Third macro created triangles with area "#" TP: -0.368421052631579, 3.13157894736842, TS: 8.81578947368421, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 103: Text, Val: 45 -53 0, nA, nP, "Each time the macro is executed, the area of the triangles (dark blue) is reduced by 25%. That is, the new area = 3/4 of the previous area." TP: 1.18421052631579, 1.39473684210526, TS: 7.02631578947368, 2.36842105263158 p: 0, Arial, S: 12 C: 40 Fa: 0