Domes are round because they are designed to be equal in every aspect and inch. For instance, if you were to have a large cube you would have corners and lines and turns but with a dome it's immacuately equal.
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No, the strongest shape under gravity condition is the catenary dome. The strongest shape under pressure ( earth sheltered or water ) would be a sphere. Or an hemisphere. Which is still a way stronger than a geodesic. The geodesic has potential link for failure in each connections. It's might be easier to set up than a perfect hemisphere, but seriously, did you already see a geodesic dome in nature ? You might want to check ferrocement / monolithic domes if strength it the first issue.
Isosceles triangles can be used in domes
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Who know maybe round and round by Selena gomez I don't know