tricycle-mechanical-design/model/library/skew.scad

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OpenSCAD

/* Taken from https://gist.github.com/boredzo/fde487c724a40a26fa9c?permalink_comment_id=4258747 */
/* skew takes an array of six angles:
* x along y
* x along z
* y along x
* y along z
* z along x
* z along y
*/
module skew(dims) {
matrix = [
[ 1, dims[0]/45, dims[1]/45, 0 ],
[ dims[2]/45, 1, dims[4]/45, 0 ],
[ dims[5]/45, dims[3]/45, 1, 0 ],
[ 0, 0, 0, 1 ]
];
multmatrix(matrix)
children();
}
/* example:
* skew([45, 0, 0, 0, 0, 0])
* cube([10,10,10]);
*/
// Skews the child geometry.
// xy: Angle towards X along Y axis.
// xz: Angle towards X along Z axis.
// yx: Angle towards Y along X axis.
// yz: Angle towards Y along Z axis.
// zx: Angle towards Z along X axis.
// zy: Angle towards Z along Y axis.
module skew2(xy = 0, xz = 0, yx = 0, yz = 0, zx = 0, zy = 0) {
matrix = [
[ 1, tan(xy), tan(xz), 0 ],
[ tan(yx), 1, tan(yz), 0 ],
[ tan(zx), tan(zy), 1, 0 ],
[ 0, 0, 0, 1 ]
];
multmatrix(matrix)
children();
}