Cuboctahedral fractal graph

by henryseg
  • White

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

    $23.06
Buy Now
This is a graph embedded in 3-dimensional space as a subset of the cubic lattice. The graph has a fractal structure, formed by a process of repeated substitution. Each vertex at each step of the construction is degree 3, and is replaced at the next step by 7 vertices which can be thought of as a subset of a 3 x 3 x 3 cubical grid, with certain choices of edges connecting them to each other. Each edge is replaced at the next step by a single edge, joining to the vertex in the centre of each 3 x 3 face. We begin the construction with the first step being the edges of a cube, and this is the result at the fourth step.

Dimensions

IN: 2.598 w x 2.598 d x 2.598 h
CM: 6.6 w x 6.6 d x 6.6 h

Comments

Sign In or Join to comment.
 
 
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.