Octahedron fractal graph

by henryseg
Octahedron fractal graph 3d printed Art Mathematical Art IRL.
IRL.
Octahedron fractal graph 3d printed Art Mathematical Art IRL.
Octahedron fractal graph 3d printed Art Mathematical Art IRL.
Digital Preview

Not a Photo

Octahedron fractal graph 3d printed Art Mathematical Art IRL corner.
Octahedron fractal graph 3d printed Art Mathematical Art IRL corner.
Digital Preview

Not a Photo

Octahedron fractal graph 3d printed Art Mathematical Art IRL face.
Octahedron fractal graph 3d printed Art Mathematical Art IRL face.
Digital Preview

Not a Photo

Octahedron fractal graph 3d printed Art Mathematical Art Rhino render, along diagonal.
Octahedron fractal graph 3d printed Art Mathematical Art Rhino render, along diagonal.
Digital Preview

Not a Photo

Octahedron fractal graph 3d printed Art Mathematical Art Rhino render.
Octahedron fractal graph 3d printed Art Mathematical Art Rhino render.
Digital Preview

Not a Photo

Octahedron fractal graph 3d printed Art Mathematical Art Rhino render, along axis.
Octahedron fractal graph 3d printed Art Mathematical Art Rhino render, along axis.
Digital Preview

Not a Photo

Octahedron fractal graph 3d printed Art Mathematical Art
Octahedron fractal graph 3d printed Art Mathematical Art
Digital Preview

Not a Photo

3d Model Viewer
This is a graph embedded in 3-dimensional space as a subset of an "octahedral lattice", which is related to the tessellation of space using octahedra and tetrahedra. The graph has a fractal structure, formed by a process of repeated substitution. Each vertex at each step of the construction is degree 4, and is replaced at the next step by 6 vertices arranged in an octahedron, with certain choices of edges connecting them to each other. Each edge is replaced at the next step by 2 parallel edges. We begin the construction with the first step being the edges of an octahedron, and this is the result at the fourth step.

Dimensions

IN: 2.731 w x 2.731 d x 2.731 h
CM: 6.938 w x 6.938 d x 6.938 h
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Very nice fractal
May 13, 2014, 8:41 pm
 
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