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Reciprocal roof frames are self-supporting structures that date back to the 12th Century. They are used in Chinese and Japanese architecture, as well as being something that Leonardo Da Vinci explored in detail.
The interlocking nature of the separate members creates a complimentary tension that, ultimately, results in an extremely strong, self-supporting roof.
The theory of it is surprisingly easy to follow, once you understand what’s going on. And so a reciprocal roof seemed the perfect choice for our recent experimental strawbale roundhouse that we built at Milkwood Farm…”
More at the source: Milkwood reciprocal roof
Milkwood.net
Related: Reciprocal roof instructions at Year of Mud