A collection of definitions and algorithms for working with 2 and 3 dimensional geometries in Swift.
(README.md is still in construction.)
Ndimensional  

Primitive  Illustration  Geometria type  Remarks 
Axisaligned boundingbox  AABB.swift  Defined as two point vectors describing the minimal and maximal coordinates contained within the AABB.  
Ray (unit vector direction)  DirectionalRay.swift 
Defined as a starting point vector and a unit vector describing the direction of the ray.
Conceptually it extends to infinity in only one of its two ends (pointed to by its direction unit vector). 

Ndimensional Ellipsoid  Ellipsoid.swift  Defined as a center point vector and an axis vector.  
Hyperplane  Hyperplane.swift  Defined as a point vector on the plane and a unit vector orthogonal to the hyperplane's surface. Defines a split between two halfspaces of the space it is contained within. Is considered a convex, volumetric space that can be intersected against lines and contain points.  
Line  Line.swift  Defined as a pair of point vectors on the line. Conceptually it extends to infinity at both ends.  
Line segment  LineSegment.swift  Defined as start and end point vectors on the line. Conceptually it is contained only within the limits of start <> end.  
Ndimensional capsule  NCapsule.swift 
Defined as a line segment containing two point vectors describing the span of the capsule's body, and a scalar
radius that defines the maximal distance to the line segment points must be to be considered as contained within the capsule.
Specializes as a Stadium in 2D and Capsule in 3D. 

Hyperrectangle  NRectangle.swift  Defined as an origin (topleft in two dimensions) point vector and an Ndimensional size vector.  
Nsphere  NSphere.swift  Defined as a center point vector and a scalar radius.  
Ndimensional cube (Hypercube)  NSquare.swift 
Generalized for any dimension.
Defined as an origin point (topleft in two dimensions) and a scalar value that describes the span of the cube, in each dimension. Forms a square in 2D, and a cube in 3D. 

Plane  PointNormalPlane.swift  Defined as a point vector on the plane and a unit vector orthogonal to the plane's surface.  
Ray (twopoint)  Ray.swift 
Defined as a pair of points start and b describing the two points the ray crosses before projecting to infinity.
Similar in definition to a line and line segment, but extends in one direction to infinity. 

Triangle  Triangle.swift  Defined as a set of three point vectors. 
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