Physical AI Lab

An active tool can fit a machine opening while the other carried tool collides. Four complete Blender assemblies reveal which constraints leave a shared approach-depth window.

Two interface layouts both round to 99.5% support, yet only one retains a closed barrier around the opening. The complete finite field reveals the difference.

An actual Blender geometry study checks complete short and long fastener envelopes at a straight inlet and a sharp rectangular passage bend.

All four board poses clear the picker geometrically, yet only the initial pose registers the originally selected head. After a quarter turn, another fastener occupies the same tool window. A Blender experiment separates persistent target identity from fixture access.

A 24mm article fits a 30mm opening, but its 34mm gripping pad intersects both sides. A 40mm opening clears the whole assembly at the same pose; yaw brings the pad into one side again. Actual finite geometry distinguishes projected overrun from solid interference.

An 8mm strap fits a 10mm opening when centered. A 3mm head shift excludes about 2mm of strap; moving the end-lap toward the head causes separate interference. This Blender experiment checks all finite member pairs across four static configurations.

A 23 mm upper-half shift retained about 75.53% shared footprint but excluded about 0.35 mm of a fixed 70 mm diagonal reference. This Blender study compares four static placements and checks complete finite containment.

A static Blender comparison separates the requested slice length from retained clamp width and full blade-carrier clearance. The rear clamp keeps 24mm for the longer reference; the forward clamp keeps 7mm and creates seven extra intersections.

With the same catcher shape and pivot, matching the pose to each authored coil diameter preserves a finite working-edge relation. Swapped poses interfere or leave a gap.

Full target-patch projection left a 1 mm face gap. A 3 mm lateral shift created three retained-member intersections; only the narrower aligned head met our static Blender check.