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

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Space Filling Graph 1

  • 3D printed in White Strong & Flexible: White nylon plastic with a matte finish and slight grainy feel.
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  • This product is intended for mature audiences.
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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.
What's in the Box
Space Filling Graph 1
IRL corner.
White Strong & Flexible
6.8 cm
6.8 cm
6.8 cm

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