The hexagon-minimizing simple bipartite polyhedra of my recent blog post 11011110.github.io/blog/2020/0 make nice shapes when converted to simple orthogonal polyhedra (see arxiv.org/abs/0912.0537): a squared-off amphitheater with L-shaped terraces of increasing length as they rise, or a diagonal staircase with congruent L-shaped steps. In each case the outer $$2n$$-gon is the underside of the polygon and the inner cycles are the horizontal faces.

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