vScriptValHilbertCurve
Generate the points of a Hilbert curve of a chosen order, scaled and offset in Z.
vScriptValHilbertCurve has no input and outputs the vertices of a Hilbert space-filling curve in the XY plane. Order sets the detail, Scale the size and Z Offset the height.
Parameters
| Parameter | Type | Default | Description |
|---|---|---|---|
| Order | Integer | 3 | Recursion depth of the curve. Range 1 to 8, default 3. Side length is 2^order. |
| Scale | Float | 1 | Size of the curve. Default 1. |
| Z Offset | Float | 0 | Z value assigned to all points. Default 0. |
Read the full description
The curve visits every cell of a grid with side 2^Order, so it has side * side points. Each point is centred on the origin: ((x / (side - 1)) - 0.5) * Scale for X and the same for Y. Z is set to Z Offset for all points.
The defaults (order 3, scale 1, Z offset 0) give 64 points spanning -0.5 to 0.5. Order ranges from 1 to 8, and the point count quadruples with each step, so order 8 outputs 65536 points.
Points come out in curve order. Drawing them as a connected path shows the curve; drawing them as separate points shows the grid.
Example Connections
- Draw the curve
- Distort the curve
vScriptValHilbertCurve.Output -> vScriptValCameraProjection.ArrayA
vScriptValCameraProjection.Output -> vScriptValShapeRender.ArrayPoint
Background.Output -> vScriptValShapeRender.Input
vScriptValHilbertCurve.Output -> vScriptValDisplaceValues.ArrayA
vScriptValDisplaceValues.Output -> vScriptValCameraProjection.ArrayA