SurfaceNormalAt Method

public Vector3d NormalAt(
	double u,
	double v
)

Public Function NormalAt ( 
	u As Double,
	v As Double
) As Vector3d

using Rhino;
using Rhino.Input.Custom;
using Rhino.DocObjects;
using Rhino.Commands;

namespace examples_cs
{
  public class NormalDirectionOfBrepFaceCommand : Command
  {
    public override string EnglishName { get { return "csDetermineNormalDirectionOfBrepFace"; } }

    protected override Result RunCommand(RhinoDoc doc, RunMode mode)
    {
      // select a surface
      var gs = new GetObject();
      gs.SetCommandPrompt("select surface");
      gs.GeometryFilter = ObjectType.Surface;
      gs.DisablePreSelect();
      gs.SubObjectSelect = false;
      gs.Get();
      if (gs.CommandResult() != Result.Success)
        return gs.CommandResult();
      // get the selected face
      var face = gs.Object(0).Face();
      if (face == null)
        return Result.Failure;

      // pick a point on the surface.  Constain
      // picking to the face.
      var gp = new GetPoint();
      gp.SetCommandPrompt("select point on surface");
      gp.Constrain(face, false);
      gp.Get();
      if (gp.CommandResult() != Result.Success)
        return gp.CommandResult();

      // get the parameters of the point on the
      // surface that is clesest to gp.Point()
      double u, v;
      if (face.ClosestPoint(gp.Point(), out u, out v))
      {
        var direction = face.NormalAt(u, v);
        if (face.OrientationIsReversed)
          direction.Reverse();
        RhinoApp.WriteLine(
          string.Format(
            "Surface normal at uv({0:f},{1:f}) = ({2:f},{3:f},{4:f})", 
            u, v, direction.X, direction.Y, direction.Z));
      }
      return Result.Success;
    }
  }
}

Imports Rhino
Imports Rhino.Input.Custom
Imports Rhino.DocObjects
Imports Rhino.Commands

Namespace examples_vb
  Public Class NormalDirectionOfBrepFaceCommand
    Inherits Command
    Public Overrides ReadOnly Property EnglishName() As String
      Get
        Return "vbDetermineNormDirectionOfBrepFace"
      End Get
    End Property

    Protected Overrides Function RunCommand(doc As RhinoDoc, mode As RunMode) As Result
      ' select a surface
      Dim gs = New GetObject()
      gs.SetCommandPrompt("select surface")
      gs.GeometryFilter = ObjectType.Surface
      gs.DisablePreSelect()
      gs.SubObjectSelect = False
      gs.[Get]()
      If gs.CommandResult() <> Result.Success Then
        Return gs.CommandResult()
      End If
      ' get the selected face
      Dim face = gs.[Object](0).Face()
      If face Is Nothing Then
        Return Result.Failure
      End If

      ' pick a point on the surface.  Constain
      ' picking to the face.
      Dim gp = New GetPoint()
      gp.SetCommandPrompt("select point on surface")
      gp.Constrain(face, False)
      gp.[Get]()
      If gp.CommandResult() <> Result.Success Then
        Return gp.CommandResult()
      End If

      ' get the parameters of the point on the
      ' surface that is clesest to gp.Point()
      Dim u As Double, v As Double
      If face.ClosestPoint(gp.Point(), u, v) Then
        Dim direction = face.NormalAt(u, v)
        If face.OrientationIsReversed Then
          direction.Reverse()
        End If
        RhinoApp.WriteLine(String.Format("Surface normal at uv({0:f},{1:f}) = ({2:f},{3:f},{4:f})", u, v, direction.X, direction.Y, direction.Z))
      End If
      Return Result.Success
    End Function
  End Class
End Namespace

import rhinoscriptsyntax as rs
from scriptcontext import *
import Rhino
from Rhino.Commands import Result

def RunCommand():
  # select a surface
  gs = Rhino.Input.Custom.GetObject()
  gs.SetCommandPrompt("select surface")
  gs.GeometryFilter = Rhino.DocObjects.ObjectType.Surface
  gs.DisablePreSelect()
  gs.SubObjectSelect = False
  gs.Get()
  if gs.CommandResult() != Result.Success:
    return gs.CommandResult()

  # get the selected face
  face = gs.Object(0).Face()
  if face == None:
    return

  # pick a point on the surface.  Constain
  # picking to the face.
  gp = Rhino.Input.Custom.GetPoint()
  gp.SetCommandPrompt("select point on surface")
  gp.Constrain(face, False)
  gp.Get()
  if gp.CommandResult() != Result.Success:
    return gp.CommandResult()

  # get the parameters of the point on the
  # surface that is clesest to gp.Point()
  b, u, v = face.ClosestPoint(gp.Point())
  if b:
    dir = face.NormalAt(u, v)
    if face.OrientationIsReversed:
      dir.Reverse()
    print "Surface normal at uv({0:f},{1:f}) = ({2:f},{3:f},{4:f})".format(
        u, v, dir.X, dir.Y, dir.Z)

if __name__ == "__main__":
  RunCommand()