Sierpinski arrowhead curve fractal, order 6 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.
One unbroken line of 729 steps, turning 60 degrees at a time, that traces out the Sierpinski triangle without lifting the pen. Each order replaces every step with three.
What is in the file
| Size | 100 × 85 mm (3.94 × 3.36 in), scales to any size |
|---|---|
| Pieces | One piece: it holds together when cut |
| Outlines to cut | 1 outline |
| Cut length | 2,241 mm at this size |
| Narrowest part | 0.7 mm at this size |
| Nodes | 2,056 curve and line segments |
Measured from the file. PNG: 2,000 × 1,717 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 × 0.85 in (25 × 22 mm) | 0.18 mm | 569 mm | 110 | Too fine for most machines |
| 2 × 1.71 in (51 × 43 mm) | 0.36 mm | 1,138 mm | 30 | Too fine for most machines |
| 3 × 2.56 in (76 × 65 mm) | 0.53 mm | 1,708 mm | 12 | Fine detail: vinyl and paper only, weed with care |
| 4 × 3.41 in (102 × 87 mm) | 0.71 mm | 2,277 mm | 6 | Fine detail: vinyl and paper only, weed with care |
| 6 × 5.12 in (152 × 130 mm) | 1.1 mm | 3,415 mm | 2 | Vinyl, card and thin sheet |
| 8 × 6.82 in (203 × 173 mm) | 1.4 mm | 4,554 mm | 1 | Vinyl, card and thin sheet |
| 12 × 10.24 in (305 × 260 mm) | 2.1 mm | 6,831 mm | 1 | Vinyl, card and thin sheet |
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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