Euclidean

Euclidean space axis mapping. More...

Collaboration diagram for Euclidean:

Variables
	x_axis_ci = 0
	<integer> The coordinate axis index for the Euclidean space x-axis.
	y_axis_ci = 1
	<integer> The coordinate axis index for the Euclidean space y-axis.
	z_axis_ci = 2
	<integer> The coordinate axis index for the Euclidean space z-axis.
	zero2d = [0, 0]
	<decimal-list-2> A 2d zero vector (a list with two zeros).
	origin2d = [0, 0]
	<point-2d> The origin point coordinate in 2d Euclidean space.
	x_axis2d_uv = [1, 0]
	<vector-2d> The unit vector of the positive x-axis in 2d Euclidean space.
	y_axis2d_uv = [0, 1]
	<vector-2d> The unit vector of the positive y-axis in 2d Euclidean space.
	x_axis2d_ul = [-x_axis2d_uv, +x_axis2d_uv]
	<line-2d> A positively-directed unit line centered on the x-axis in 2d Euclidean space.
	y_axis2d_ul = [-y_axis2d_uv, +y_axis2d_uv]
	<line-2d> A positively-directed unit line centered on the y-axis in 2d Euclidean space.
	zero3d = [0, 0, 0]
	<decimal-list-2> A 3d zero vector (a list with three zeros).
	origin3d = [0, 0, 0]
	<point-3d> The origin point coordinate in 3-dimensional Euclidean space.
	x_axis3d_uv = [1, 0, 0]
	<vector-3d> The unit vector of the positive x-axis in 3d Euclidean space.
	y_axis3d_uv = [0, 1, 0]
	<vector-3d> The unit vector of the positive y-axis in 3d Euclidean space.
	z_axis3d_uv = [0, 0, 1]
	<vector-3d> The unit vector of the positive z-axis in 3d Euclidean space.
	x_axis3d_ul = [-x_axis3d_uv, +x_axis3d_uv]
	<line-3d> A positively-directed unit line centered on the x-axis in 3d Euclidean space.
	y_axis3d_ul = [-y_axis3d_uv, +y_axis3d_uv]
	<line-3d> A positively-directed unit line centered on the y-axis in 3d Euclidean space.
	z_axis3d_ul = [-z_axis3d_uv, +z_axis3d_uv]
	<line-3d> A positively-directed unit line centered on the z-axis in 3d Euclidean space.
	xy_plane_on = [origin3d, z_axis3d_uv]
	<plane> The right-handed xy plane centered at the origin with normal vector.
	yz_plane_on = [origin3d, x_axis3d_uv]
	<plane> The right-handed yz plane centered at the origin with normal vector.
	zx_plane_on = [origin3d, y_axis3d_uv]
	<plane> The right-handed zx plane centered at the origin with normal vector.
	xy_plane_os = [origin3d, [for (r=[[1,1],[1,-1],[-1,-1],[-1,1]]) [r[0],r[1],0]]]
	<plane> The right-handed xy plane centered at the origin with coplanar unit square points.
	yz_plane_os = [origin3d, [for (r=[[1,1],[1,-1],[-1,-1],[-1,1]]) [0,r[0],r[1]]]]
	<plane> The right-handed yz plane centered at the origin with coplanar unit square points.
	zx_plane_os = [origin3d, [for (r=[[1,1],[1,-1],[-1,-1],[-1,1]]) [r[1],0,r[0]]]]
	<plane> The right-handed zx plane centered at the origin with coplanar unit square points.

Detailed Description

Euclidean space axis mapping.

Requires:
include <omdl-base.scad>;