The straight lines in the D-surface form a NbO (niobium monoxide) net, which is usually illustrated from this perspective.
But viewed along a body diagonal of the cube (an isometric axis that foreshortens the the three primary directions equally) it has an kagome-like aspect. In this view it can be seen as an arrangement of triangular helices. The handedness of these helices is arranged as below:
I've made wire model to demonstrate this.
Here is a direct-view stereogram of the finished model:
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