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This is built with a six directional system.
The edge lines meet at 90°, at arccos 2/3 = 48.19…°and at arccos -1/3 = 109.47…°
The major cell is a Polar Triacontahedron, a zonohedron.
Minor cells have one or more zones reduced to zero.
In this model, there are only two kinds of minor cells:
One type of Rhombic Dodecahedron, and Cubes.
There are two orientations of cubes, shown in blue and red.
This shows that the system is basically two 3-axis systems.
They are rotated 60° from each other about a 3-fold axis.
This model has full rotational symmetry, reflection planes. and more. Made with vZome.