Creating a Mathematical Form in Revit using the API

This is a sample code for making parametric surfaces in the Revit API.

The kinds of surfaces you are able to create is limited for two reasons:

  1. list item There are only about 4 ways to create a surface (Loft, extrude, sweep, revolve)… A surface from a point cloud or from 4-points would be very handy, Autodesk!
  2. list item Revit doesn't seem to "like" self-intersecting surfaces very much… and even sometimes mistakes 'closed' shapes or shapes where edges touch for self-intersection….so no Kleins or Catalans, booo!
Dim ref_ar_ar As ReferenceArrayArray = New ReferenceArrayArray()
Dim XYZ As Autodesk.Revit.Geometry.XYZ

For u As Double = 0 To 4 * Math.PI Step Math.PI / 4
  Dim rfptsarr As ReferencePointArray = New ReferencePointArray()
  For v As Double = 0 To 4 * Math.PI Step Math.PI / 4

    Dim refpt As Autodesk.Revit.Elements.ReferencePoint

    Dim x As Double
    Dim y As Double
    Dim z As Double

    x = 10 * u
    y = 10 * v
    z = 10 * Math.Cos(u) + 10 * Math.Sin(v)

    XYZ = revit_app.Create.NewXYZ(x, y, z)
    refpt = revit_doc.FamilyCreate.NewReferencePoint(XYZ)

  Dim crv As CurveByPoints = revit_doc.FamilyCreate.NewCurveByPoints(rfptsarr)
  Dim ref_ar As ReferenceArray = New ReferenceArray()

Dim loftform As Autodesk.Revit.Elements.Form = revit_doc.FamilyCreate.NewLoftForm(True, ref_ar_ar)
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