Zigzag Octahedron
by Dan Bach
Title
Zigzag Octahedron
Artist
Dan Bach
Medium
Digital Art - Inkjet Print On Canvas
Description
This is part of a path starting at the origin and going through every lattice point in space! This octahedral layer is defined by |x| + |y| + |z| = 7. An Eulerian circuit traces all edges of the octahedron once, and these can be filled out zig-zag style to pass through all the points, as in the traveling salesman problem. All the paths from one vertex to the next have the same shape, and this creates a 'zigsaw puzzle' with one piece for each face of the octahedron. The stray piece wants to be reattached to that hole in the side. Will it fit?
Uploaded
October 18th, 2020
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