Free fractal SVG

Sierpinski carpet 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.

Sierpinski carpet fractal, order 3, as a solid black shape
Sierpinski carpet fractal, order 3. The preview is the SVG file itself.

A square with its middle ninth cut out, then the middle of each of the eight squares left, three times over: 73 square holes in one piece. The smallest holes are 3.7 mm across at 100 mm.

What is in the file

Size100 × 100 mm (3.94 × 3.94 in), scales to any size
PiecesOne piece: it holds together when cut
Outlines to cut74: 1 outer edge and 73 cut-outs
Cut length1,837 mm at this size
Narrowest part3.8 mm at this size
Nodes296 curve and line segments
Symmetry4-fold rotation and mirror

Measured from the file. PNG: 2,000 × 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
1 × 1 in (25 × 25 mm)0.97 mm467 mm100Fine detail: vinyl and paper only, weed with care
2 × 2 in (51 × 51 mm)1.9 mm933 mm25Vinyl, card and thin sheet
3 × 3 in (76 × 76 mm)2.9 mm1,400 mm9Vinyl, card and thin sheet
4 × 4 in (102 × 102 mm)3.9 mm1,866 mm4Any material, including 3 mm wood and acrylic
6 × 6 in (152 × 152 mm)5.8 mm2,800 mm1Any material, including 3 mm wood and acrylic
8 × 8 in (203 × 203 mm)7.7 mm3,733 mm1Any material, including 3 mm wood and acrylic
12 × 12 in (305 × 305 mm)12 mm5,599 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.

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