Free fractal SVG

Gosper curve fractal, order 3 SVG

Which one? SVG for Cricut and lasers, DXF for the free Silhouette Studio, PNG to print.

Free for personal and commercial use, no sign-up. What you can do with it.

Gosper curve fractal, order 3, drawn as a line
Gosper curve fractal, order 3. The preview is the SVG file itself.

The flowsnake: 343 steps on a triangular grid, each order made of seven copies of the last. It fills a shape with a frilled edge that tiles the plane like a hexagon, and never crosses itself.

What is in the file

Size96 × 100 mm (3.79 × 3.94 in), scales to any size
PiecesOne piece: it holds together when cut
Outlines to cut1 outline
Cut length3,097 mm at this size
Narrowest part1.9 mm at this size
Nodes924 curve and line segments

Measured from the file. PNG: 1,929 × 2,000 pixels, transparent. About the three file types.

How fine is it at your size?

Scaling a design scales its finest detail too. Here is this one at seven sizes, from 1 to 12 inches on its longer side, with how many copies fit a 12 × 12 inch sheet or mat.

Size, width × heightNarrowest partCut lengthFit on a 12 in sheetRule of thumb
0.96 × 1 in (24 × 25 mm)0.48 mm787 mm100Too fine for most machines
1.93 × 2 in (49 × 51 mm)0.97 mm1,573 mm25Fine detail: vinyl and paper only, weed with care
2.89 × 3 in (73 × 76 mm)1.4 mm2,360 mm9Vinyl, card and thin sheet
3.85 × 4 in (98 × 102 mm)1.9 mm3,147 mm6Vinyl, card and thin sheet
5.78 × 6 in (147 × 152 mm)2.9 mm4,720 mm2Vinyl, card and thin sheet
7.7 × 8 in (196 × 203 mm)3.9 mm6,293 mm1Any material, including 3 mm wood and acrylic
11.56 × 12 in (294 × 305 mm)5.8 mm9,440 mm1Any material, including 3 mm wood and acrylic

The narrowest part is the finest detail in the pattern. Below about half a millimetre it is too small to cut and may fill in when printed. How to open the file in Cricut, Silhouette and laser software.

More fractal SVG files

← Levy C curve fractal, order 10 All 20 fractals Sierpinski arrowhead curve fractal, order 6 →