Register to reply

Parametric helical surface

by Mbert
Tags: parametric surface
Share this thread:
Mbert
#1
Aug9-11, 09:03 AM
P: 64
Dear colleagues,

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.

Best regards,
M.
Phys.Org News Partner Science news on Phys.org
Scientists develop 'electronic nose' for rapid detection of C. diff infection
Why plants in the office make us more productive
Tesla Motors dealing as states play factory poker

Register to reply

Related Discussions
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