One design element for the above structure is the 30-spike set of harmonics for zig-zag rows in the pentacone faces, shown below.
Another design element in the reciprocal lattice of a pentacone is the 30-spike set of harmonics for the adjacent atom-pair (armchair) rows in the pentacone faces, shown below. Although they don't appear in the contour plot above because they didn't meet the intensity threshold, their triple-intersections account for the bright near-g110 spots seen in diffraction patterns, and they provide elements of structure for possible starship shield-generators and/or cloaking-devices. The fact that the triple intersections occur just off the spike centers does not alter pentacone powder patterns because the projected areas don't increase. The significantly off-axis double intersections (points don't quite touch in the model below), however, do result in a powder diffraction satellite peak, thanks to the coherency spike that comes from viewing adjacent sheets along the bisector of the angle between them.