An array of polar zonohedra built with seven directions of edges. Primary cells are 42-hedra, with spaces between them filled with hexahedra and dodecahedra composed from unit lengths parallel with some of the original seven. The array maintains the seven-fold rotational symmetry of the single 42-hedron. Patterns of composition can be found that are all zonohedra using only unit edge lengths drawn from the original seven. Some patterns lead to overlapping cells, which no longer meets the unit edge length requirement.
This is a continuation of the studies Filling Space in a five directional System and Filling space with Six Directional Polar Zonohedra
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This is one form of extended array, building outward around the polar axis. Symmetry is maintained, including seven planes of reflective symmetry that pass through the axis. Note that this array, like the first one, has a directional character; It has “upward” and “downward” direction in relation to the polar axis, like an arrow, or a bowl.
8 Direction Arrays is a continuation of this series of pages.