Heighway {; Heighway Dragon ; Edgar, "Measure, Topology, and Fractal Geometry" ; Page 19 ; Discovered by physicist John Heighway 0.500000 -0.500000 0.500000 0.500000 0.000000 0.000000 0.500000 -0.500000 -0.500000 0.500000 -0.500000 1.000000 0.000000 0.500000 } Fudge Dragon {; Fudge Dragon ; Edgar, "Measure, Topology, and Fractal Geometry" ; Page 22 ; For best results, start with the unit line as the ; initial polygon and use the deterministic algorithm. ; 3 copies of this curve, joined in an equilateral ; triangle, form a fudgeflake. 0.500000 0.288675 -0.288675 0.500000 0.000000 0.000000 0.500000 -0.500000 0.288675 -0.288675 -0.500000 1.000000 0.000000 0.500000 } Twin Dragon {; Twin Dragon ; Edgar, "Measure, Topology, and Fractal Geometry" ; Page 30 ; Made of two copies of Heighway's dragon 0.500000 -0.500000 0.500000 0.500000 0.000000 0.000000 0.500000 -0.500000 0.500000 0.500000 -0.500000 -0.500000 } Levy {; Levy Dragon ; Edgar, "Measure, Topology, and Fractal Geometry" 0.5 -0.5 0.5 0.5 0 0 0.5 0.5 -0.5 0.5 0.5 0.5 } Sierpinski Triangle 1 {; The traditional Sierpinski Gasket ; Edgar, "Measure, Topology, and Fractal Geometry" ; Page 7 0.500000 0.000000 0.000000 0.500000 0.000000 0.000000 0.500000 0.000000 0.000000 0.500000 0.500000 0.000000 0.500000 0.000000 0.000000 0.500000 0.250000 0.433000 } Sierpinski Triangle 2 {; Sierpinski Dragon ; Edgar, "Measure, Topology, and Fractal Geometry" ; Page 23 ; This gives the Sierpinski Triangle as a dragon curve. ; For best results, start with the unit line as the ; initial polygon and use the deterministic algorithm. -0.250000 0.433000 -0.433000 -0.250000 0.250000 0.433000 0.500000 0.000000 0.000000 0.500000 0.250000 0.433000 -0.250000 -0.433000 0.433000 -0.250000 1.000000 0.000000 } Koch Curve {; Koch Curve ; Edgar, "Measure, Topology, and Fractal Geometry" ; Page 18 ; For best results, start with the unit line as the ; initial polygon and use the deterministic algorithm. 0.333000 0.000000 0.000000 0.333000 0.000000 0.000000 0.167000 -0.289000 0.289000 0.167000 0.333000 0.000000 0.167000 0.289000 -0.289000 0.167000 0.500000 0.289000 0.333000 0.000000 0.000000 0.333000 0.667000 0.000000 } Pentigree {; McWorter's Pentigree Dragon ; Edgar, "Measure, Topology, and Fractal Geometry" ; Page 24 ; For best results, start with the unit line as the ; initial polygon and use the deterministic algorithm. 0.309045 -0.224534 0.224534 0.309000 0.000000 0.000000 0.166667 -0.118045 -0.363304 0.363304 -0.118045 0.309000 0.225000 0.166667 0.309045 0.224534 -0.224534 0.309045 0.191000 0.588000 0.166667 -0.118045 0.363304 -0.363304 -0.118045 0.500000 0.363000 0.166667 0.309045 0.224534 -0.224534 0.309045 0.382000 0.000000 0.166667 0.309045 -0.224534 0.224534 0.309045 0.691000 -0.225000 0.166665 } Pentadentrite {; Pentadentrite ; Edgar, "Measure, Topology, and Fractal Geometry" ; Page 164 ; Variation of the McWorter's pentigree dragon ; For best results, start with the unit line as the ; initial polygon and use the deterministic algorithm. 0.340621 -0.071275 0.071284 0.340623 0.000000 0.000000 0.166667 0.037463 -0.345977 0.345978 0.037471 0.341000 0.071000 0.166667 0.340621 -0.071275 0.071284 0.340623 0.379000 0.418000 0.166667 -0.233669 0.257876 -0.257882 -0.233675 0.720000 0.489000 0.166667 0.173052 0.301926 -0.301922 0.173045 0.486000 0.231000 0.166667 0.340621 -0.071275 0.071284 0.340623 0.659000 -0.071000 0.166665 } Eisenstein {; Eisenstein fractions ; Edgar, "Measure, Topology, and Fractal Geometry" ; Page 31 and 32 ; Based upon the "Eisenstein number system" -0.500000 0.000000 0.000000 -0.500000 0.000000 0.000000 0.250000 -0.500000 0.000000 0.000000 -0.500000 -0.500000 0.000000 0.250000 -0.500000 0.000000 0.000000 -0.500000 0.250000 -0.433000 0.250000 -0.500000 0.000000 0.000000 -0.500000 0.250000 0.433000 0.250000 } Barnsley's Wreath {; Barnsley's Wreath ; Edgar, "Measure, Topology, and Fractal Geometry" ; Page 78 (For a picture) ; See Edgar's article "A Fractal Puzzle" in ; "Mathematical Intelligencer", 1991, 13:44-50 -0.500000 0.000000 0.000000 -0.500000 0.500000 0.863000 0.166667 -0.500000 0.000000 0.000000 -0.500000 1.250000 1.300000 0.166667 -0.500000 0.000000 0.000000 -0.500000 0.500000 1.730000 0.166667 -0.250000 0.000000 0.000000 -0.250000 0.750000 0.866000 0.166667 -0.250000 0.000000 0.000000 -0.250000 0.750000 1.300000 0.166667 -0.250000 0.000000 0.000000 -0.250000 0.375000 1.080000 0.166665 }