Reach is the rig's own
The ring on the map comes from the same link lengths the 3D arm solves its joints with. A point outside it is refused and the part stays in its tray — the arm is never drawn reaching somewhere it couldn't.
Assembly
A board from one sentence, an arm on a bench, and a tray of chips. Move the trays, slide the board, lower the tool's travel height or change the order — every change is re-planned at once, and the arm shows you exactly the plan the numbers came from.
Robot controller · 180 × 120 mm · 9 parts
No lower than 25 mm: the tallest part on the board, the tallest one it could be carrying over it, and a margin.
Shortest is proved, not guessed: every ordering of these parts is accounted for. Here it saves 0.10 s (0.3%) over the listed order — an order only changes the empty-handed trips, so where the trays stand usually matters far more.
The ring is how far this arm really reaches across the bench. Solid trips carry a part; dashed ones are empty-handed — the only ones an ordering can shorten.
The ring on the map comes from the same link lengths the 3D arm solves its joints with. A point outside it is refused and the part stays in its tray — the arm is never drawn reaching somewhere it couldn't.
An arm on a fixed base swivels and reaches at once, so the tool flies arcs, not lines. Each axis accelerates, cruises and brakes; a move takes as long as its slowest axis. The limits below are this model's assumptions, not any arm's datasheet.
No vision alignment, no solder paste, no suction and no force: a kinematic preview. The parts are the size a gripper's tip can plausibly carry; a production line fires far smaller ones from a nozzle on a gantry.
swivel 120°/s · reach 0.4 m/s · lift 0.25 m/s · wrist 180°/s · grip 0.35 s · release 0.5 s