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Space Filling Graph 1 3d printed IRL corner.

DIGITAL PREVIEW
Not a Photo

IRL corner.
Space Filling Graph 1 3d printed IRL corner.
Space Filling Graph 1 3d printed IRL corner.

DIGITAL PREVIEW
Not a Photo

Space Filling Graph 1 3d printed
Space Filling Graph 1 3d printed

DIGITAL PREVIEW
Not a Photo

Space Filling Graph 1

$113.00
3D printed in white nylon plastic with a matte finish and slight grainy feel.
QTY
Product Description
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.
Details
What's in the box:
Space Filling Graph 1
Dimensions:
6.82 x 6.82 x 6.82 cm
Switch to inches
2.68 x 2.68 x 2.68 inches
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Success Rate:
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Rating:
Mature audiences only.
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