JessicaHelena
- 188
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I've been researching for the calculus behind geodesic domes, and specifically calculus related to parametric surfaces. I've found http://teachers.yale.edu/curriculum/viewer/new_haven_06.04.05_u#f, 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.
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.