Gaussian Display Code

Replies to This Discussion

Permalink Reply by Fred Becquelin on February 12, 2014 at 9:26am

From my experience (sailcraft construction), 10^-7 mm^-2 is a good order of magnitude. But in practice the minimum radius is the critical aspect, as long as gaussian curvature stays small.

Thanks for sharing!

Fred.

Permalink Reply by Lowell Walmsley on February 13, 2014 at 1:02pm

Fred,

Do you think the measure of twist angle across a ruling has any practical application?

It's scale dependent, of course, but it feels a little more understandable than gaussian curvature to me.  I don't know how to apply it in practice though.

Permalink Reply by Fred Becquelin on February 14, 2014 at 7:21am

Lowell,

Twist and min radius are more or less the same thing.

Min radius depends on the material's yield strength and the plank's thickness, for instance a 12mm plywood would allow a little more than 2m radius as minimum. If your surface shows less than that value, you will need too much effort to bend the plank in position.

So it's the most tangible way of evaluating effective developability. 

Permalink Reply by Thomas Sicouri on October 4, 2018 at 2:51pm

Hello Fred, i would be really interest to understand a bit better how to rely gaussian curvature, and min radius.

thanks !