Space Filling Graph 1

Space Filling Graph 1 3d printed Art Mathematical Art IRL corner.
IRL corner.
Space Filling Graph 1 3d printed Art Mathematical Art Rhino render.
Space Filling Graph 1 3d printed Art Mathematical Art Rhino render.
Rhino render.
Space Filling Graph 1 3d printed Art Mathematical Art Rhino render, face on.
Space Filling Graph 1 3d printed Art Mathematical Art Rhino render, face on.
Rhino render, face on.
Video
3d Model Viewer
Space Filling Graph 1 3d printed Art Mathematical Art
Space Filling Graph 1 3d printed Art Mathematical Art
Space Filling Graph 1 3d printed Art Mathematical Art Thanks to Craig Kaplan for this render: using Sunflow (sunflow.sourceforge.net) and ambient occlusion shading.
Space Filling Graph 1 3d printed Art Mathematical Art Thanks to Craig Kaplan for this render: using Sunflow (sunflow.sourceforge.net) and ambient occlusion shading.
Thanks to Craig Kaplan for this render: using Sunflow (sunflow.sourceforge.net) and ambient occlusion shading.
Space Filling Graph 1 3d printed Art Mathematical Art IRL face.
Space Filling Graph 1 3d printed Art Mathematical Art IRL face.
IRL face.
Space Filling Graph 1 3d printed Art Mathematical Art IRL edge.
Space Filling Graph 1 3d printed Art Mathematical Art IRL edge.
IRL edge.
Space Filling Graph 1 3d printed Art Mathematical Art IRL corner.
Space Filling Graph 1 3d printed Art Mathematical Art IRL corner.
IRL corner.
This is a graph embedded in 3-dimensional space as a subset of the cubic lattice. The graph has a fractal structure, analogous to the fractal structure of a step in the construction of a space filling curve, but with greater connectivity. This greater connectivity makes the physical sculpture considerably more robust than the analogous sculpture of a step in the construction of a space filling curve would be. Each vertex at each step of the construction is degree 3, and is replaced at the next step by 8 vertices arranged in a 2 x 2 x 2 cube, with certain choices of edges connecting them to each other. Each edge is replaced at the next step by 4 parallel edges. We begin the construction with the first step being the edges of a cube, and this is the result at the fourth step. The spacing between the vertices varies in order to highlight the fractal structure.

cm: 6.816 w x 6.816 d x 6.816 h
in: 2.683 w x 2.683 d x 2.683 h

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  • White Strong & Flexible

    White nylon plastic with a matte finish and slight grainy feel.

    $43.97

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