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 IRL corner.
Space Filling Graph 1 3d printed Art Mathematical Art IRL corner.
Digital Preview

Not a Photo

Space Filling Graph 1 3d printed Art Mathematical Art IRL edge.
Space Filling Graph 1 3d printed Art Mathematical Art IRL edge.
Digital Preview

Not a Photo

Space Filling Graph 1 3d printed Art Mathematical Art IRL face.
Space Filling Graph 1 3d printed Art Mathematical Art IRL face.
Digital Preview

Not a Photo

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.
Digital Preview

Not a Photo

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.
Digital Preview

Not a Photo

Space Filling Graph 1 3d printed Art Mathematical Art Rhino render.
Space Filling Graph 1 3d printed Art Mathematical Art Rhino render.
Digital Preview

Not a Photo

Space Filling Graph 1 3d printed Art Mathematical Art Black Strong & Flexible
Space Filling Graph 1 3d printed Art Mathematical Art Black Strong & Flexible
Digital Preview

Not a Photo

Space Filling Graph 1 3d printed Art Mathematical Art
Space Filling Graph 1 3d printed Art Mathematical Art
Digital Preview

Not a Photo

3d Model Viewer

About this Product

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.

Dimensions

IN: 2.683 w x 2.683 d x 2.683 h
CM: 6.816 w x 6.816 d x 6.816 h
Sign In or Join to comment.
 
 
  • White Strong & Flexible

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

    $43.97
Buy Now
Logo

Hello.

We're sorry to inform you that we no longer support this browser and can't confirm that everything will work as expected. For the best Shapeways experience, please use one of the following browsers:

Click anywhere outside this window to continue.