Peano 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.
The first space-filling curve, published by Peano in 1890: an S through a 3 by 3 grid, each cell then filled by a smaller S. Order 3 runs 728 steps through a 27 by 27 grid from one corner to the opposite one.
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 | 1 outline |
| Cut length | 5,511 mm at this size |
| Narrowest part | 1.8 mm at this size |
| Nodes | 732 curve and line segments |
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) | 0.46 mm | 1,400 mm | 100 | Too fine for most machines |
| 2 × 2 in (51 × 51 mm) | 0.91 mm | 2,800 mm | 25 | Fine detail: vinyl and paper only, weed with care |
| 3 × 3 in (76 × 76 mm) | 1.4 mm | 4,199 mm | 9 | Vinyl, card and thin sheet |
| 4 × 4 in (102 × 102 mm) | 1.8 mm | 5,599 mm | 4 | Vinyl, card and thin sheet |
| 6 × 6 in (152 × 152 mm) | 2.7 mm | 8,399 mm | 1 | Vinyl, card and thin sheet |
| 8 × 8 in (203 × 203 mm) | 3.7 mm | 11,198 mm | 1 | Any material, including 3 mm wood and acrylic |
| 12 × 12 in (305 × 305 mm) | 5.5 mm | 16,798 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.
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