3D Geometry

The space package mirrors the 2D plane package, adding a z-axis and upgrading transforms to 4×4 affine matrices.

Type hierarchy

Entity3D (interface)
├── Point3D
└── VectorialEntity3D (sealed)
    ├── Vector3D
    └── Direction3D

CoordinateSystem3D
CylindricalCoordinate

Function3D (interface)
Function4D (interface)

ParametricSurface3D
ParametricCurve3D
Plane
Curve3D

Entity3D contract

All 3D geometric objects expose:

Member Type Description
x, y, z Double components
matrix SimpleMatrix 3×1 column matrix
affineMatrix SimpleMatrix 4×1 affine column matrix
rotate(axis, angle) Entity3D rotate around an arbitrary axis
changeBasis(from, to) Entity3D express in a different coordinate system
+, -, *, / operators element-wise and scalar arithmetic
component1/2/3() destructuring val (x, y, z) = point

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