m_shearing


Generate a 4x4 transformation matrix which can pass into multmatrix to shear all child elements along the X-axis, Y-axis, or Z-axis in 3D.

Since: 1.1

Parameters

  • sx : An array [SHy, SHz]. The new coordinates of child elements are (x + SHy * y + SHz * z, y, z).
  • sy : An array [SHx, SHz]. The new coordinates of child elements are (x, y + SHx * x + SHz * z, z).
  • sz : An array [SHx, SHy]. The new coordinates of child elements are (x, y, z + SHx * x + SHy * y).

Examples

include <matrix/m_shearing.scad>;

color("red") {
    multmatrix(m_shearing(sx = [1, 0]))
        cube(1);

    translate([2, 0, 0]) multmatrix(m_shearing(sx = [0, 1]))
        cube(1);

    translate([4, 0, 0]) multmatrix(m_shearing(sx = [1, 1]))
        cube(1);
}

translate([0, -3, 0]) color("green") {
    multmatrix(m_shearing(sy = [1, 0]))
        cube(1);

    translate([2, 0, 0]) multmatrix(m_shearing(sy = [0, 1]))
        cube(1);

    translate([4, 0, 0]) multmatrix(m_shearing(sy = [1, 1]))
        cube(1);
}

translate([0, -5, 0]) color("blue") {
    multmatrix(m_shearing(sz = [1, 0]))
        cube(1);

    translate([2, 0, 0]) multmatrix(m_shearing(sz = [0, 1]))
        cube(1);

    translate([4, 0, 0]) multmatrix(m_shearing(sz = [1, 1]))
        cube(1);
}

m_shearing