Fractal tree with nine forks 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 trunk that splits in two, each branch 0.72 times as long as the one below and leaning 24 degrees to its side, nine times over: 1,023 branches. The classic first program in any book on fractals.
What is in the file
| Size | 100 × 93 mm (3.94 × 3.64 in), scales to any size |
|---|---|
| Pieces | One piece: it holds together when cut |
| Outlines to cut | 216: 1 outer edge and 215 cut-outs |
| Cut length | 2,086 mm at this size |
| Narrowest part | 1 mm at this size |
| Nodes | 1,916 curve and line segments |
| Symmetry | Mirror |
Measured from the file. PNG: 2,000 × 1,856 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 × 0.93 in (25 × 23 mm) | 0.25 mm | 530 mm | 100 | Too fine for most machines |
| 2 × 1.85 in (51 × 47 mm) | 0.51 mm | 1,060 mm | 25 | Fine detail: vinyl and paper only, weed with care |
| 3 × 2.77 in (76 × 70 mm) | 0.76 mm | 1,590 mm | 12 | Fine detail: vinyl and paper only, weed with care |
| 4 × 3.7 in (102 × 94 mm) | 1 mm | 2,119 mm | 6 | Vinyl, card and thin sheet |
| 6 × 5.55 in (152 × 141 mm) | 1.5 mm | 3,179 mm | 2 | Vinyl, card and thin sheet |
| 8 × 7.4 in (203 × 188 mm) | 2 mm | 4,239 mm | 1 | Vinyl, card and thin sheet |
| 12 × 11.1 in (305 × 282 mm) | 3 mm | 6,358 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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Hilbert curve fractal, order 4 Outline · one piece -
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Moore curve fractal, a closed Hilbert loop Outline · one piece
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