|Aug9-11, 09:03 AM||#1|
Parametric helical surface
I am trying to parametrize a surface that follows an helix. The basic equations for this surface are:
x = R1*cos(theta)
y = R1*sin(theta)
z = B1*theta + h
where "theta" and "h" are the parameters and R1 and B1 are constants. I am looking for the parametrization of this surface, but skewed, so that the left and right edges (at theta_min and theta_max) are normal to the helix, instead of being parallel to Z (and the other 2 edges remain parallel to the helix).
At the moment, I use a FOR loop to modify the vertices to skew my surface, but I was wondering if there was a more straightforward way, through a new parametrization.
|Similar Threads for: Parametric helical surface|
|Counter Intuitive result for Surface area of Helical Ribbon||Differential Geometry||1|
|Why can't we let z = 2 in this parametric surface?||Calculus & Beyond Homework||2|
|Surface area of smooth parametric surface||Calculus & Beyond Homework||1|
|Surface area of a parametric surface||Calculus & Beyond Homework||0|
|Parametric equations for a helical pipe||Linear & Abstract Algebra||5|