Koch snowflake fractal, order 4 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 triangle whose every side grows a smaller triangle on its middle third, four times over: 768 sides. Each round makes the edge a third longer, so the true snowflake has an endless edge round a finite area.
What is in the file
| Size | 87 × 100 mm (3.41 × 3.94 in), scales to any size |
|---|---|
| Pieces | One piece: it holds together when cut |
| Outlines to cut | 1 outline |
| Cut length | 821 mm at this size |
| Narrowest part | Nothing narrower than 6 mm at this size |
| Nodes | 768 curve and line segments |
| Symmetry | 6-fold rotation and mirror |
Measured from the file. PNG: 1,742 × 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 |
|---|---|---|---|---|
| 0.87 × 1 in (22 × 25 mm) | Over 1.5 mm | 209 mm | 110 | Vinyl, card and thin sheet |
| 1.73 × 2 in (44 × 51 mm) | Over 3 mm | 417 mm | 30 | Any material, including 3 mm wood and acrylic |
| 2.6 × 3 in (66 × 76 mm) | Over 4.6 mm | 626 mm | 12 | Any material, including 3 mm wood and acrylic |
| 3.46 × 4 in (88 × 102 mm) | Over 6.1 mm | 834 mm | 6 | Any material, including 3 mm wood and acrylic |
| 5.2 × 6 in (132 × 152 mm) | Over 9.1 mm | 1,251 mm | 2 | Any material, including 3 mm wood and acrylic |
| 6.93 × 8 in (176 × 203 mm) | Over 12 mm | 1,668 mm | 1 | Any material, including 3 mm wood and acrylic |
| 10.39 × 12 in (264 × 305 mm) | Over 18 mm | 2,502 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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