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.

Figures

• Star — the [n/d]s construction A chord and its rotated copies, mirrored into a symmetric unit.
• Rosette — Lee's key line and its rotated copies A blended key ray mirrored into a unit and replicated n times.
• Scale — the child unit scaled and clipped A child figure scaled out and clipped back to the unit n-gon.
• Connect — the solved scale A child scaled so its extended tip edges meet, with no s to choose.
• Radial — the symmetry ladder One unit copied n times under the ladder, and the map those copies coalesce into.

Tilings

• Catalogue — every shipped tiling One row per shipped tiling: its tile and placement counts.
• Tiling — one tiling's vectors, unit cell and outlines The two translation vectors closed into the unit cell, every placed tile outlined.
• Instancing — one tiling, bound to a figure, welded into a pattern Every regular tile bound to a figure, replicated over the lattice, welded into one map.