Revolution Surface

https://github.com/nortikin/sverchok/assets/14288520/49bc8bfc-cfbc-4ee9-8edc-1bc6511a1ed0

Functionality

Given a curve, this node generates a surface which is made by revolving (rotating) this curve along some axis vector. Many surfaces of revolution, such as spheres, cylinders, cones may be made with this node.

https://github.com/nortikin/sverchok/assets/14288520/d9d1317b-8927-4fd3-acf8-56cfcd883683

Note that the profile curve does not have to be planar (flat).

Surface domain: in U direction - the same as profile curve; in V direction - defined by node inputs. Zero (0) value of V corresponds to initial position of the profile curve.

Inputs

This node has the following inputs:

  • Profile. The profile curve, i.e. the curve which is going to be rotated to make a surface. This input is mandatory.

  • Point. A point on the rotation axis. The default value is (0, 0, 0).

  • Direction. The direction of the rotation axis. The default value is (0, 0, 1) (Z axis).

  • AngleFrom. The minimal value of rotation angle to rotate the curve from; i.e. the surface’s V parameter minimal value. The default value is 0.0.

  • AngleTo. The maximum value of rotation angle to rotate the curve to; i.e. the surface’s V parameter maximum value. The default value is 2*pi (full circle).

https://github.com/nortikin/sverchok/assets/14288520/3b346209-4232-4317-9679-b6193fd568f9

Parameters

This node has the following parameter:

  • Origin. This defines where the origin of the generated surface will be, i.e. how the surface will be located in space. This does not affect the shape of the surface, only it’s location. The following options are available:

    • Global origin. Origin of the surface will be placed at global origin (0,0,0), so the surface will look like it was revolved around an axis which goes through the global origin (but actually revolution will be done around the specified axis, only the whole surface will be moved to global origin).

    • Revolution axis. Origin of the surface will be at the origin of revolution axis, i.e. at the point which is provided in the Point input.

    The default value is Revolution axis.

https://github.com/nortikin/sverchok/assets/14288520/b582fd3f-65ed-4d39-b2a6-87d9d2ba4de6

Outputs

This node has the following output:

  • Surface. The generated surface of revolution.

Examples of usage

Rotate a line segment around Z axis to make a conical surface:

https://user-images.githubusercontent.com/284644/78705373-cdff4c00-7926-11ea-943a-42eaa6ba8241.png

Rotate some cubic spline around X axis:

https://user-images.githubusercontent.com/284644/78705377-cf307900-7926-11ea-8d30-9fd707c42ab6.png