Engine & runtime
Room & building bounding
Multiple pieces in a room, then a whole tower — bounds, clearance and the maths that scales.
What this is
Furniture laid out in a real room with its bounding volumes and clearance zones drawn, then the same analysis across a twenty-storey building.
Three failures visible at once. Overlap: axis-aligned bounds grow 41% at 45°, so an AABB planner rejects layouts that genuinely fit — switch to the oriented test and the false collisions vanish. Clearance: a wardrobe that fits and cannot open its doors has not fitted, and the amber volumes are usually what decides a layout, not the footprint. Scale: one room is 13 boxes and brute force is fine; a tower is 1,900 and the spatial hash does ~17× fewer tests. The storey is part of the hash key, or a chair on floor three collides with one on floor four.
Things worth trying
- Switch AABB → oriented and watch bounding boxes shrink onto the furniture
- Turn on clearance and find the pieces that fit but cannot be used
- Push the piece count up until the planner refuses to place any more
- Switch to the twenty-storey tower and compare spatial hash against every-pair
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