A third implementation of Perlin noise to generate points, this time in 3D (and not so symmetrical). This uses the awesome PeasyCam library for camera controls: zoom with the mousewheel or by right-clicking and dragging; left-click and drag to rotate; middle-click and drag to pan; double click to reset camera. The spacebar starts a new shape (and also resets the camera).
I have a version of this with solid(ish) shapes as well but it's way too sluggish without using OpenGL.
Oh, that naughty sketch! Please let us know what the issue is below.
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