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Space Filling Graph 1

by Mathematical Art by Henry Segerman

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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Plastic

White Strong & Flexible
Black Strong & Flexible
OVERVIEW
  • 3D printed just for you.
  • White Strong & Flexible: White nylon plastic with a matte finish and slight grainy feel.
$113.00
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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.
What's in the Box
INCM

IRL corner.
Space Filling Graph 1 in White Strong & Flexible
Width Height Depth
6.816 cm 6.816 cm 6.816 cm
This model is 3D Printed in White Strong & Flexible: White nylon plastic with a matte finish and slight grainy feel.
Model version 2 | Last updated on 12/12/2013

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Choose a Material

Plastic

White Strong & Flexible
Black Strong & Flexible
OVERVIEW
  • 3D printed just for you.
  • White Strong & Flexible: White nylon plastic with a matte finish and slight grainy feel.
$113.00
Secure Checkout
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