Geodesic dome parametric formula

[JessicaHelena]

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.

 

[jedishrfu]

It means you have to buy the book to get the formulas.

You might be abble to tease the formulas from this geodesics on surfaces pdf:

https://brage.bibsys.no/xmlui/bitstream/handle/11250/2402926/14803_FULLTEXT.pdf?sequence=1