V# main feature overview

V# comprises over 800 methods in over 15000 lines of code. The most important are:

Spatial point, edge, line, plane, triangle, circle, ellipse and arc operations:

  • Distances and perpendiculars between all supported objects
  • Parallel projections of all supported objects
  • Point reflection, reflection across a line, reflection through a plane of all supported objects
  • Coordinate transformation, scaling, moving, arbitrary center rotation of all supported objects
  • Tests: Intersection, containment, collinearity, coplanarity, overlap and other
  • Triangle: barycentric and trilinear coordinates
  • Triangle: slice by plane
  • Triangle: many special points, circles and lines (e.g. in-, ex- and circumcircles, inscribed ellipse)
  • Plane: analytic, coordinate, normal coordinate and parametric form
  • Circles: construct from three points, tangents


  • 2d and 3d multiple point removal
  • Orthogonal least square lines and planes
  • High performance rotation, moving, coordinate transformation
  • Random permutation
  • Lexicographical sort
  • ASCII file IO

3x3 Matrices

  • Arbitrary, fixed and moving axes rotation matrices
  • Cross product matrix, identity matrix
  • Determinant, inverse, transpose, eigenvectors and eigenvalues
  • Orthonormalization and orthogonalization
  • Trace, norm
  • Tests for symmetry, orthogonality, rotation and positive definite
  • Linear system solver

4x4 matrices

  • Determinant
  • Linear system solver


  • Dot, cross and tensor product
  • Projection on plane/vector
  • Normalization
  • Rotation
  • Coordinate transformation
  • Angle between two vectors
  • Bisecting vector of two vectors
  • Parallelity and orthogonality test
  • Test for linear independency

DXF file output

  • AC1009 format dxf export of all objects
  • Additional text output
  • All entities on user-definable layers
  • Linetype, point display mode definition


  • Golden section line search
  • Random generator
  • Kernel time gauge
  • Coordinate transformation by four point in two systems ("align")