Geometry

• Loose — the tolerance surface Two tolerances, and the squared-distance trap between them.
• Point — position as a vector A point's coordinates, magnitude, angle and quarter turn.
• Transform — an affine map of a shape Six scalars move, scale, rotate, shear or flip the unit square.
• Intersect — where two segments cross Two segments, their parameter pair and the crossing of their lines.
• Polygon — vertices, area and containment A square, triangle or star with its area, closed path and probe.
• PlanarMap — welding and replication Two squares welded at their crossings, or one spoke copied six times.
• Faces — discovering and two-colouring a planar map A planar map's faces, coloured so faces sharing an edge differ.
• FillRegion — tiling a region with lattice translates A rectangle scanned row by row and filled with lattice cells.