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I've been researching for the calculus behind geodesic domes, and specifically calculus related to parametric surfaces. I've found this, but unfortunately it comes short of providing me the most needed information, and so far I couldn't find the information anywhere else.

Basically, Yale says,

For a surface defined parametrically by x = x(u, v), y = y(u, v), and z = z(u, v), the geodesic can be found by minimizing the arc length

(formulas available in print form) ...

For a surface of revolution in which y = g(x) and is rotated about the x-axis so that t

(formulas available in print form)

Could someone please help me figure out what these "formulas available in print form" are? Thank you so much in advance.

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  • $\begingroup$ Can you check your link please? $\endgroup$ – Vasily Mitch Dec 19 '18 at 12:20
  • $\begingroup$ Your question is bettered answered by geometry. Geodesics are unrelated to geodesic domes. $\endgroup$ – William Elliot Dec 19 '18 at 13:13
  • $\begingroup$ @VasilyMitch I'm sorry it didn't work the first time — here's the correct one: teachers.yale.edu/curriculum/viewer/new_haven_06.04.05_u#f $\endgroup$ – jjhh Dec 19 '18 at 15:28

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