Cuboctahedral fractal graph

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

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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.


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


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