circle

For version 0.7.0.

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circle

Alphabetical index

ccw_arc3D cw_arc3D generic_arc3D

Namespace: ..Shapes..Geometry3D

Circles and circular arcs in 3^d are basically constructed by immersing a 2^d circle or arc, and then move it to the right location. This extension provides 3^d wrappers of the 2^d counterparts in ..Shapes..Geometry / circle.

generic_arc3D
arc2D::§Function z0::§Coords3D zStart::§Coords3D zEnd::§Coords3D r::§Length → §Path
Dynamic references:	none
The argument arc2D should be a function accepting the same arguments as, for instance, ..Shapes..Geometry..ccw_arc. This function computes the transform that maps the plane spanned by z0, zStart, and zEnd, to a plane through the origin, normal to the z direction. Using this transform in combination with view, the task of constructing arcs is moved from 3^d to 2^d, where the arc is constructed using arc2D, and then the result is immersed and mapped back the the right position in 3^d. The orientation of the intermediate 2^d representation is chosen to ensure that rotation about z0 from the direction to zStart to zEnd becomes counter-clockwise in 2^d. The cuts of this function obtained by using ..Shapes..Geometry..ccw_arc or ..Shapes..Geometry..cw_arc are bound to separate variables.
See also:	ccw_arc3D cw_arc3D

ccw_arc3D
z0::§Coords3D zStart::§Coords3D zEnd::§Coords3D r::§Length → §Path
Dynamic references:	none
Uses generic_arc3D with ..Shapes..Geometry..ccw_arc to construct the arc in 2^d.

cw_arc3D
z0::§Coords3D zStart::§Coords3D zEnd::§Coords3D r::§Length → §Path
Dynamic references:	none
Uses generic_arc3D with ..Shapes..Geometry..cw_arc to construct the arc in 2^d.