Zonohedrons, zomes or the sometimes called onion houses are amazingly symmetrical structures, I don't think I have come across a basic polyhedron that has as much mirror symmetry as a zonohedron. They have dozens of useful truncations and because all the edges are the same length they also join together very easily. I've done a few quick renders to show some different truncation sections and how they can be joined to form really complex and beautiful structures.
The first one is a Zome-15 the (15) denotes the number of diamonds around the center. Notice how they fit together, this can be done by aligning the very top of the second zome to any vertex of the first, all the vertices align perfectly!
Any number of zomes can be joined to any other zome at any point so the number of possible design combinations are endless, the next render shows three zome -10s joined at different heights. A zome -10 has 5 different shaped diamond panels, it's usually half the zome number unless it's an odd zome then it's rounded down. so odd zomes have fewest unique faces.
One other useful property of onion house geometry is that the panel orientation is very easy to weatherproof, overlapping each diamond as you go up the structure guarantees a leak free building unlike geodesic domes which have to be treated like flat roofs.
The final render shows a vertical truncation of two zome-10s joined together, a number of these could be joined to make a long building with a wave type design, again only 5 different face shapes in the roof.
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