J40
86.84% Utilization40 parts · 7 raw sheets
Area lower bound: 7 sheets · three solves under fixed parameters gave the same sheet count
Irregular-shape nesting / Curated layout archives
For J40 and H80, each case shows the real layout, the actual sheet count and the real area utilization. Every archived case was re-run three times with fixed parameters and returned the same sheet count.
Utilization = true polygon area of the parts / full area of the raw sheets used. Area lower bound = ⌈total part area / raw sheet area⌉; when the actual sheet count reaches this value the case is marked "provably optimal". Raw sheet 2250 × 3210 mm, with kerf, edge margin and break margin all set to 0 — a research configuration; on the production floor, enter the real spacings of your equipment.
40 parts · 7 raw sheets
Area lower bound: 7 sheets · three solves under fixed parameters gave the same sheet count
80 parts · 10 raw sheets
Area lower bound: 9 sheets · three solves under fixed parameters gave the same sheet count
Matches the best published literature result (sheet-count metric).