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.
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
| Size | 100 × 100 mm (3.94 × 3.94 in), scales to any size |
|---|---|
| Pieces | One piece: it holds together when cut |
| Outlines to cut | 74: 1 outer edge and 73 cut-outs |
| Cut length | 1,837 mm at this size |
| Narrowest part | 3.8 mm at this size |
| Nodes | 296 curve and line segments |
| Symmetry | 4-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 × height | Narrowest part | Cut length | Fit on a 12 in sheet | Rule of thumb |
|---|---|---|---|---|
| 1 × 1 in (25 × 25 mm) | 0.97 mm | 467 mm | 100 | Fine detail: vinyl and paper only, weed with care |
| 2 × 2 in (51 × 51 mm) | 1.9 mm | 933 mm | 25 | Vinyl, card and thin sheet |
| 3 × 3 in (76 × 76 mm) | 2.9 mm | 1,400 mm | 9 | Vinyl, card and thin sheet |
| 4 × 4 in (102 × 102 mm) | 3.9 mm | 1,866 mm | 4 | Any material, including 3 mm wood and acrylic |
| 6 × 6 in (152 × 152 mm) | 5.8 mm | 2,800 mm | 1 | Any material, including 3 mm wood and acrylic |
| 8 × 8 in (203 × 203 mm) | 7.7 mm | 3,733 mm | 1 | Any material, including 3 mm wood and acrylic |
| 12 × 12 in (305 × 305 mm) | 12 mm | 5,599 mm | 1 | Any 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
-
Vicsek fractal, order 3 Solid · one piece
-
T-square fractal, order 5 Solid · one piece
-
Fractal tree with nine forks Solid · one piece
-
Pythagoras tree fractal, order 8 Solid · one piece
-
H tree fractal, order 7 Outline · one piece
-
Cantor set fractal in five rows Solid · 31 pieces
-
Apollonian gasket fractal cut from a disc Solid · one piece
-
Mandelbrot set fractal Solid · one piece
← Sierpinski triangle fractal, order 4, solid All 20 fractals Vicsek fractal, order 3 →