Voronoï playground : Do you see the path ?

Voronoï playground : Do you see the path ? (II)

This interactive Voronoi playground reveals hidden paths that emerge from the smooth chaining of cell borders. Users can draw their own path by clicking and dragging, or select from predefined paths, which are then used as constraints to generate Voronoi seeds scattered near the path’s trajectory. The resulting cells are rendered as cyan outlines, with a white, blurred stroke tracing the original path and highlighting the emergent route. Built with D3 v4, it uses `d3.voronoi`, `d3.line`, and `d3.drag` to update the tessellation in real time as the path changes.

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path for Distance-limited Voronoi cell

This example visualizes distance-limited Voronoi cells by intersecting each Voronoi region with a circle of adjustable radius. It shows how a cell's boundary changes as seeds or the radius are dragged, highlighting the clipped path where the cell meets the circular limit. The implementation uses D3 v3’s `d3.geom.voronoi` layout and `d3.svg.line` to compute and draw cell paths, with `d3.behavior.drag` enabling interactive updates to seed positions and the maximum cell distance. Rendering is SVG-based, with circles and paths styled via CSS classes.

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path for Distance-limited Voronoi cell - d3v4

This interactive D3.js v4 example visualizes a distance-limited Voronoi cell, showing the intersection between a standard Voronoi polygon and a circle centered on one of its seeds. Users can drag the seed points or the circle's radius handle to update the layout in real time. The code computes the Voronoi polygons via `d3.voronoi` and traces the clipped cell path with a custom line function, rendering the result as SVG paths with interactive drag behaviors.

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d3-path for Distance-limited Voronoi cell - d3v4

This example demonstrates a distance-limited Voronoi cell, showing the intersection of a Voronoi cell with a circle around a central seed. Users can drag the seeds or the radius anchor to interactively update the highlighted region. The visualization uses D3 v4’s `d3.voronoi()` for layout and a `d3.path()` context to compute the limited-cell path via canvas-like directives, rendering the result as SVG with draggable circles.

Voronoï playground : parquet deformation

This interactive visualization demonstrates parquet deformation, where a quasi-rectangular grid progressively morphs into a quasi-hexagonal pattern. Users move the mouse to adjust the number of Voronoï cells, and click to toggle the visibility of seed points. The code uses d3.v4’s `d3.voronoi` layout, positioning seeds on concentric rings with alternating counts to create the shape transition. A Gaussian blur filter softens the cell edges, and the rendering is SVG-based.

Voronoï playground : undulating radial wave

This example shows a Voronoï tessellation morphing around an undulating radial wave. A white circular path continuously deforms, driven by simplex noise, while semi-transparent Voronoï cells fill the surrounding space and shift with the wave’s movement. The cell borders reveal smooth, emergent patterns from the tessellation. The code uses D3 v4’s `d3.voronoi` layout, `d3.interval` for animation, `d3.scaleLinear` for opacity, and the simplex-noise.js library to generate the wave’s noisy radius. A saturate filter highlights the area near the wave path.

Voronoï playground : parquet deformation

This interactive Voronoi playground simulates parquet deformation, progressively morphing a quasi-rectangular shape at the bottom into a heart-shaped form at the top. Built with D3.js v4, it uses a Voronoi layout with seeds arranged on three concentric rings, where only the middle ring’s cells are visible. As the user moves the mouse over the canvas, the ring distance adjusts, transforming the Voronoi cells; clicking toggles the display of the grey seed points. The SVG rendering includes a transparent hover-area circle that captures mouse events, and the cellular structure is updated via `d3.interval` and a custom `d3.voronoi` helper.