dotSCAD/docs/lib3x-m_shearing.md

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

use <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);
}