PSI » Souvenirs » Sculpture » Laser-scribed fractal
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Laser-scribed 3D Hilbert fractal
The 3D Hilbert fractal is a type of space-filling curve, a curve that passes through every point in space.
Our laser-scribed sculpture embodies a discrete Hilbert curve in a cube of glass. The sculpture brings out the structure of the curve from every angle, especially with the illuminated base (see picture).
| Contents | Price | |
|---|---|---|
| 3D Hilbert sculpture | $115 | |
|
3D Hilbert sculpture + white-LED base |
$150 |
The infinite-order true Hilbert curve would of course go through an infinite number of points; a "discrete" Hilbert curve in 3D goes through finitely many lattice points. The order-4 curve in our laser-scribed glass cube passes through (24)3 = 4096 lattice points.
For more information, see the Wolfram MathWorld article on Hilbert curves.