[{"id":"r01_001_easy","version":"1.0","name":"Cantilever Bracket — PETG — 15 kg @ 78 mm [easy]","description":"An easy-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 15.2 kg load 78 mm from the wall face. Minimize mass while surviving the load.","material":"petg","constraints":{"load_newtons":148.66,"load_point_mm":[77.5,44.6,47.2],"safety_factor":1.5,"bolt_pattern_mm":[[0.0,0.0],[56.4,0.0],[0.0,56.4],[56.4,56.4]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[177.0,89.3,94.5],"max_overhang_deg":50.0,"min_wall_thickness_mm":1.0},"scoring":{"metric":"mass_grams","direction":"minimize","baseline_mass_grams":263.2,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":null},"tier":"easy","round_id":"round_001"},{"id":"r01_001_hard","version":"1.0","name":"Cantilever Bracket — Al6061 — 102 kg @ 172 mm [hard]","description":"A hard-difficulty cantilever bracket in Aluminum 6061-T6. Mounts flush to a vertical wall and cantilevers a 102.2 kg load 172 mm from the wall face. Minimize mass while surviving the load.","material":"aluminum_6061","constraints":{"load_newtons":1002.31,"load_point_mm":[172.5,36.7,32.5],"safety_factor":2.5,"bolt_pattern_mm":[[0.0,0.0],[47.0,0.0],[0.0,47.0],[47.0,47.0]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[104.7,73.4,65.1],"max_overhang_deg":40.0,"min_wall_thickness_mm":1.5},"scoring":{"metric":"mass_grams","direction":"minimize","baseline_mass_grams":251.6,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":null},"tier":"hard","round_id":"round_001"},{"id":"r01_001_medium","version":"1.0","name":"Cantilever Bracket — Al6061 — 36 kg @ 113 mm [medium]","description":"A medium-difficulty cantilever bracket in Aluminum 6061-T6. Mounts flush to a vertical wall and cantilevers a 36.2 kg load 113 mm from the wall face. Minimize mass while surviving the load.","material":"aluminum_6061","constraints":{"load_newtons":355.39,"load_point_mm":[112.6,50.4,46.7],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[53.7,0.0],[107.4,0.0],[0.0,53.7],[53.7,53.7],[107.4,53.7]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[159.6,100.8,93.4],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"mass_grams","direction":"minimize","baseline_mass_grams":634.1,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":null},"tier":"medium","round_id":"round_001"},{"id":"r01_002_easy","version":"1.0","name":"Cantilever Bracket — PETG — 13 kg @ 79 mm [easy]","description":"An easy-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 12.6 kg load 79 mm from the wall face. Minimize mass while surviving the load.","material":"petg","constraints":{"load_newtons":123.24,"load_point_mm":[78.7,52.5,54.4],"safety_factor":1.5,"bolt_pattern_mm":[[0.0,0.0],[56.4,0.0],[112.8,0.0],[0.0,56.4],[56.4,56.4],[112.8,56.4]],"bolt_diameter_clearance_mm":6.5,"mount_face_x_mm":0.0,"build_volume_mm":[152.8,105.0,108.8],"max_overhang_deg":50.0,"min_wall_thickness_mm":1.0},"scoring":{"metric":"mass_grams","direction":"minimize","baseline_mass_grams":308.9,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":null},"tier":"easy","round_id":"round_001"},{"id":"r01_002_hard","version":"1.0","name":"Cantilever Bracket — PETG — 116 kg @ 172 mm [hard]","description":"A hard-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 116.3 kg load 172 mm from the wall face. Minimize mass while surviving the load.","material":"petg","constraints":{"load_newtons":1140.43,"load_point_mm":[172.5,41.1,40.8],"safety_factor":2.5,"bolt_pattern_mm":[[0.0,0.0],[46.7,0.0],[0.0,46.7],[46.7,46.7]],"bolt_diameter_clearance_mm":5.5,"mount_face_x_mm":0.0,"build_volume_mm":[136.7,82.3,81.6],"max_overhang_deg":40.0,"min_wall_thickness_mm":1.5},"scoring":{"metric":"mass_grams","direction":"minimize","baseline_mass_grams":217.1,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":null},"tier":"hard","round_id":"round_001"},{"id":"r01_002_medium","version":"1.0","name":"Cantilever Bracket — PETG — 56 kg @ 109 mm [medium]","description":"A medium-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 55.5 kg load 109 mm from the wall face. Minimize mass while surviving the load.","material":"petg","constraints":{"load_newtons":544.53,"load_point_mm":[108.8,35.5,40.9],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[50.9,0.0],[0.0,50.9],[50.9,50.9]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[143.9,70.9,81.7],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"mass_grams","direction":"minimize","baseline_mass_grams":163.4,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":null},"tier":"medium","round_id":"round_001"},{"id":"r01_003_easy","version":"1.0","name":"Cantilever Bracket — PETG — 21 kg @ 93 mm [easy]","description":"An easy-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 21.0 kg load 93 mm from the wall face. Minimize mass while surviving the load.","material":"petg","constraints":{"load_newtons":206.21,"load_point_mm":[93.2,59.3,52.8],"safety_factor":1.5,"bolt_pattern_mm":[[0.0,0.0],[41.6,0.0],[83.2,0.0],[0.0,41.6],[41.6,41.6],[83.2,41.6]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[140.9,118.6,105.5],"max_overhang_deg":50.0,"min_wall_thickness_mm":1.0},"scoring":{"metric":"mass_grams","direction":"minimize","baseline_mass_grams":328.2,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":null},"tier":"easy","round_id":"round_001"},{"id":"r01_003_hard","version":"1.0","name":"Cantilever Bracket — PETG — 75 kg @ 130 mm [hard]","description":"A hard-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 75.5 kg load 130 mm from the wall face. Minimize mass while surviving the load.","material":"petg","constraints":{"load_newtons":740.62,"load_point_mm":[130.0,43.1,46.1],"safety_factor":2.5,"bolt_pattern_mm":[[0.0,0.0],[61.5,0.0],[0.0,61.5],[61.5,61.5]],"bolt_diameter_clearance_mm":6.5,"mount_face_x_mm":0.0,"build_volume_mm":[105.0,86.3,92.3],"max_overhang_deg":40.0,"min_wall_thickness_mm":1.5},"scoring":{"metric":"mass_grams","direction":"minimize","baseline_mass_grams":175.3,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":null},"tier":"hard","round_id":"round_001"},{"id":"r01_003_medium","version":"1.0","name":"Cantilever Bracket — Al6061 — 42 kg @ 87 mm [medium]","description":"A medium-difficulty cantilever bracket in Aluminum 6061-T6. Mounts flush to a vertical wall and cantilevers a 42.4 kg load 87 mm from the wall face. Minimize mass while surviving the load.","material":"aluminum_6061","constraints":{"load_newtons":415.6,"load_point_mm":[87.2,47.9,50.4],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[54.7,0.0],[109.4,0.0],[0.0,54.7],[54.7,54.7],[109.4,54.7]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[141.5,95.8,100.7],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"mass_grams","direction":"minimize","baseline_mass_grams":529.3,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":null},"tier":"medium","round_id":"round_001"},{"id":"r01_004_easy","version":"1.0","name":"Cantilever Bracket — PETG — 14 kg @ 89 mm [easy]","description":"An easy-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 14.3 kg load 89 mm from the wall face. Minimize mass while surviving the load.","material":"petg","constraints":{"load_newtons":140.47,"load_point_mm":[89.2,46.6,58.8],"safety_factor":1.5,"bolt_pattern_mm":[[0.0,0.0],[43.4,0.0],[86.8,0.0],[0.0,43.4],[43.4,43.4],[86.8,43.4]],"bolt_diameter_clearance_mm":6.5,"mount_face_x_mm":0.0,"build_volume_mm":[153.1,93.3,117.6],"max_overhang_deg":50.0,"min_wall_thickness_mm":1.0},"scoring":{"metric":"mass_grams","direction":"minimize","baseline_mass_grams":308.5,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":null},"tier":"easy","round_id":"round_001"},{"id":"r01_004_hard","version":"1.0","name":"Cantilever Bracket — PETG — 95 kg @ 137 mm [hard]","description":"A hard-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 94.5 kg load 137 mm from the wall face. Minimize mass while surviving the load.","material":"petg","constraints":{"load_newtons":927.22,"load_point_mm":[137.0,34.1,30.3],"safety_factor":2.5,"bolt_pattern_mm":[[0.0,0.0],[46.3,0.0],[0.0,46.3],[46.3,46.3]],"bolt_diameter_clearance_mm":6.5,"mount_face_x_mm":0.0,"build_volume_mm":[114.1,68.3,60.6],"max_overhang_deg":40.0,"min_wall_thickness_mm":1.5},"scoring":{"metric":"mass_grams","direction":"minimize","baseline_mass_grams":101.1,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":null},"tier":"hard","round_id":"round_001"},{"id":"r01_004_medium","version":"1.0","name":"Cantilever Bracket — PLA — 40 kg @ 100 mm [medium]","description":"A medium-difficulty cantilever bracket in PLA (FDM). Mounts flush to a vertical wall and cantilevers a 39.9 kg load 100 mm from the wall face. Minimize mass while surviving the load.","material":"pla","constraints":{"load_newtons":391.42,"load_point_mm":[100.1,35.3,41.4],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[50.6,0.0],[0.0,50.6],[50.6,50.6]],"bolt_diameter_clearance_mm":6.5,"mount_face_x_mm":0.0,"build_volume_mm":[154.3,70.6,82.8],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"mass_grams","direction":"minimize","baseline_mass_grams":167.8,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":null},"tier":"medium","round_id":"round_001"},{"id":"r01_005_easy","version":"1.0","name":"Cantilever Bracket — PLA — 21 kg @ 90 mm [easy]","description":"An easy-difficulty cantilever bracket in PLA (FDM). Mounts flush to a vertical wall and cantilevers a 20.7 kg load 90 mm from the wall face. Minimize mass while surviving the load.","material":"pla","constraints":{"load_newtons":203.31,"load_point_mm":[90.1,48.6,43.8],"safety_factor":1.5,"bolt_pattern_mm":[[0.0,0.0],[62.5,0.0],[125.0,0.0],[0.0,62.5],[62.5,62.5],[125.0,62.5]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[194.7,97.3,87.5],"max_overhang_deg":50.0,"min_wall_thickness_mm":1.0},"scoring":{"metric":"mass_grams","direction":"minimize","baseline_mass_grams":298.1,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":null},"tier":"easy","round_id":"round_001"},{"id":"r01_005_medium","version":"1.0","name":"Cantilever Bracket — Al6061 — 47 kg @ 117 mm [medium]","description":"A medium-difficulty cantilever bracket in Aluminum 6061-T6. Mounts flush to a vertical wall and cantilevers a 47.1 kg load 117 mm from the wall face. Minimize mass while surviving the load.","material":"aluminum_6061","constraints":{"load_newtons":461.88,"load_point_mm":[117.1,46.1,35.0],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[52.8,0.0],[105.6,0.0],[0.0,52.8],[52.8,52.8],[105.6,52.8]],"bolt_diameter_clearance_mm":6.5,"mount_face_x_mm":0.0,"build_volume_mm":[146.7,92.3,70.0],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"mass_grams","direction":"minimize","baseline_mass_grams":405.8,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":null},"tier":"medium","round_id":"round_001"},{"id":"r01_006_medium","version":"1.0","name":"Cantilever Bracket — PLA — 42 kg @ 111 mm [medium]","description":"A medium-difficulty cantilever bracket in PLA (FDM). Mounts flush to a vertical wall and cantilevers a 42.4 kg load 111 mm from the wall face. Minimize mass while surviving the load.","material":"pla","constraints":{"load_newtons":415.78,"load_point_mm":[111.4,44.9,50.1],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[56.3,0.0],[0.0,56.3],[56.3,56.3]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[129.7,89.8,100.2],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"mass_grams","direction":"minimize","baseline_mass_grams":225.3,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":null},"tier":"medium","round_id":"round_001"},{"id":"r02_001_easy","version":"1.0","name":"Cantilever Bracket — PLA — 23 kg @ 95 mm [easy, stiffness]","description":"An easy-difficulty cantilever bracket in PLA (FDM). Mounts flush to a vertical wall and cantilevers a 22.6 kg load 95 mm from the wall face. Maximize stiffness-to-weight ratio while surviving the load.","material":"pla","constraints":{"load_newtons":221.56,"load_point_mm":[95.3,58.5,43.7],"safety_factor":1.5,"bolt_pattern_mm":[[0.0,0.0],[53.3,0.0],[106.6,0.0],[0.0,53.3],[53.3,53.3],[106.6,53.3]],"bolt_diameter_clearance_mm":6.5,"mount_face_x_mm":0.0,"build_volume_mm":[162.9,117.1,87.4],"max_overhang_deg":50.0,"min_wall_thickness_mm":1.0},"scoring":{"metric":"stiffness_to_weight","direction":"maximize","baseline_mass_grams":null,"baseline_stiffness_to_weight":258.961985,"baseline_deflection_mm":null},"tier":"easy","round_id":"round_002"},{"id":"r02_001_hard","version":"1.0","name":"Cantilever Bracket — Al6061 — 98 kg @ 128 mm [hard, stiffness]","description":"A hard-difficulty cantilever bracket in Aluminum 6061-T6. Mounts flush to a vertical wall and cantilevers a 98.0 kg load 128 mm from the wall face. Maximize stiffness-to-weight ratio while surviving the load.","material":"aluminum_6061","constraints":{"load_newtons":961.12,"load_point_mm":[127.6,34.6,38.2],"safety_factor":2.5,"bolt_pattern_mm":[[0.0,0.0],[49.2,0.0],[0.0,49.2],[49.2,49.2]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[127.4,69.2,76.5],"max_overhang_deg":40.0,"min_wall_thickness_mm":1.5},"scoring":{"metric":"stiffness_to_weight","direction":"maximize","baseline_mass_grams":null,"baseline_stiffness_to_weight":861.081689,"baseline_deflection_mm":null},"tier":"hard","round_id":"round_002"},{"id":"r02_001_medium","version":"1.0","name":"Cantilever Bracket — PETG — 42 kg @ 104 mm [medium, stiffness]","description":"A medium-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 41.8 kg load 104 mm from the wall face. Maximize stiffness-to-weight ratio while surviving the load.","material":"petg","constraints":{"load_newtons":410.09,"load_point_mm":[103.6,43.9,44.2],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[61.3,0.0],[0.0,61.3],[61.3,61.3]],"bolt_diameter_clearance_mm":6.5,"mount_face_x_mm":0.0,"build_volume_mm":[120.3,87.7,88.4],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"stiffness_to_weight","direction":"maximize","baseline_mass_grams":null,"baseline_stiffness_to_weight":159.091413,"baseline_deflection_mm":null},"tier":"medium","round_id":"round_002"},{"id":"r02_002_easy","version":"1.0","name":"Cantilever Bracket — PETG — 14 kg @ 84 mm [easy, stiffness]","description":"An easy-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 13.9 kg load 84 mm from the wall face. Maximize stiffness-to-weight ratio while surviving the load.","material":"petg","constraints":{"load_newtons":136.24,"load_point_mm":[84.0,40.6,41.1],"safety_factor":1.5,"bolt_pattern_mm":[[0.0,0.0],[48.6,0.0],[0.0,48.6],[48.6,48.6]],"bolt_diameter_clearance_mm":6.5,"mount_face_x_mm":0.0,"build_volume_mm":[148.5,81.2,82.3],"max_overhang_deg":50.0,"min_wall_thickness_mm":1.0},"scoring":{"metric":"stiffness_to_weight","direction":"maximize","baseline_mass_grams":null,"baseline_stiffness_to_weight":223.987586,"baseline_deflection_mm":null},"tier":"easy","round_id":"round_002"},{"id":"r02_002_hard","version":"1.0","name":"Cantilever Bracket — SS316 — 90 kg @ 149 mm [hard, stiffness]","description":"A hard-difficulty cantilever bracket in Stainless Steel 316. Mounts flush to a vertical wall and cantilevers a 89.8 kg load 149 mm from the wall face. Maximize stiffness-to-weight ratio while surviving the load.","material":"stainless_316","constraints":{"load_newtons":880.63,"load_point_mm":[149.4,35.0,46.8],"safety_factor":2.5,"bolt_pattern_mm":[[0.0,0.0],[41.9,0.0],[0.0,41.9],[41.9,41.9]],"bolt_diameter_clearance_mm":6.5,"mount_face_x_mm":0.0,"build_volume_mm":[121.5,69.9,93.5],"max_overhang_deg":40.0,"min_wall_thickness_mm":1.5},"scoring":{"metric":"stiffness_to_weight","direction":"maximize","baseline_mass_grams":null,"baseline_stiffness_to_weight":745.866354,"baseline_deflection_mm":null},"tier":"hard","round_id":"round_002"},{"id":"r02_002_medium","version":"1.0","name":"Cantilever Bracket — PETG — 51 kg @ 128 mm [medium, stiffness]","description":"A medium-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 50.6 kg load 128 mm from the wall face. Maximize stiffness-to-weight ratio while surviving the load.","material":"petg","constraints":{"load_newtons":496.6,"load_point_mm":[128.2,44.5,41.1],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[60.3,0.0],[0.0,60.3],[60.3,60.3]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[137.6,88.9,82.2],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"stiffness_to_weight","direction":"maximize","baseline_mass_grams":null,"baseline_stiffness_to_weight":58.697711,"baseline_deflection_mm":null},"tier":"medium","round_id":"round_002"},{"id":"r02_003_easy","version":"1.0","name":"Cantilever Bracket — PETG — 13 kg @ 74 mm [easy, stiffness]","description":"An easy-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 12.6 kg load 74 mm from the wall face. Maximize stiffness-to-weight ratio while surviving the load.","material":"petg","constraints":{"load_newtons":123.42,"load_point_mm":[74.3,50.3,40.0],"safety_factor":1.5,"bolt_pattern_mm":[[0.0,0.0],[55.0,0.0],[110.0,0.0],[0.0,55.0],[55.0,55.0],[110.0,55.0]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[163.2,100.6,80.1],"max_overhang_deg":50.0,"min_wall_thickness_mm":1.0},"scoring":{"metric":"stiffness_to_weight","direction":"maximize","baseline_mass_grams":null,"baseline_stiffness_to_weight":288.843968,"baseline_deflection_mm":null},"tier":"easy","round_id":"round_002"},{"id":"r02_003_hard","version":"1.0","name":"Cantilever Bracket — Al6061 — 97 kg @ 173 mm [hard, stiffness]","description":"A hard-difficulty cantilever bracket in Aluminum 6061-T6. Mounts flush to a vertical wall and cantilevers a 96.7 kg load 173 mm from the wall face. Maximize stiffness-to-weight ratio while surviving the load.","material":"aluminum_6061","constraints":{"load_newtons":948.8,"load_point_mm":[173.0,30.8,34.5],"safety_factor":2.5,"bolt_pattern_mm":[[0.0,0.0],[41.5,0.0],[0.0,41.5],[41.5,41.5]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[131.3,61.5,68.9],"max_overhang_deg":40.0,"min_wall_thickness_mm":1.5},"scoring":{"metric":"stiffness_to_weight","direction":"maximize","baseline_mass_grams":null,"baseline_stiffness_to_weight":238.828181,"baseline_deflection_mm":null},"tier":"hard","round_id":"round_002"},{"id":"r02_003_medium","version":"1.0","name":"Cantilever Bracket — Al6061 — 34 kg @ 125 mm [medium, stiffness]","description":"A medium-difficulty cantilever bracket in Aluminum 6061-T6. Mounts flush to a vertical wall and cantilevers a 34.1 kg load 125 mm from the wall face. Maximize stiffness-to-weight ratio while surviving the load.","material":"aluminum_6061","constraints":{"load_newtons":334.12,"load_point_mm":[125.4,44.8,43.4],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[58.6,0.0],[0.0,58.6],[58.6,58.6]],"bolt_diameter_clearance_mm":5.5,"mount_face_x_mm":0.0,"build_volume_mm":[137.8,89.6,86.7],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"stiffness_to_weight","direction":"maximize","baseline_mass_grams":null,"baseline_stiffness_to_weight":1084.799056,"baseline_deflection_mm":null},"tier":"medium","round_id":"round_002"},{"id":"r02_004_easy","version":"1.0","name":"Cantilever Bracket — PETG — 15 kg @ 79 mm [easy, stiffness]","description":"An easy-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 15.2 kg load 79 mm from the wall face. Maximize stiffness-to-weight ratio while surviving the load.","material":"petg","constraints":{"load_newtons":149.07,"load_point_mm":[79.3,42.9,45.6],"safety_factor":1.5,"bolt_pattern_mm":[[0.0,0.0],[59.4,0.0],[0.0,59.4],[59.4,59.4]],"bolt_diameter_clearance_mm":5.5,"mount_face_x_mm":0.0,"build_volume_mm":[195.0,85.7,91.3],"max_overhang_deg":50.0,"min_wall_thickness_mm":1.0},"scoring":{"metric":"stiffness_to_weight","direction":"maximize","baseline_mass_grams":null,"baseline_stiffness_to_weight":253.749447,"baseline_deflection_mm":null},"tier":"easy","round_id":"round_002"},{"id":"r02_004_hard","version":"1.0","name":"Cantilever Bracket — PETG — 72 kg @ 148 mm [hard, stiffness]","description":"A hard-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 72.3 kg load 148 mm from the wall face. Maximize stiffness-to-weight ratio while surviving the load.","material":"petg","constraints":{"load_newtons":709.33,"load_point_mm":[148.4,38.1,46.6],"safety_factor":2.5,"bolt_pattern_mm":[[0.0,0.0],[45.3,0.0],[0.0,45.3],[45.3,45.3]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[108.3,76.2,93.2],"max_overhang_deg":40.0,"min_wall_thickness_mm":1.5},"scoring":{"metric":"stiffness_to_weight","direction":"maximize","baseline_mass_grams":null,"baseline_stiffness_to_weight":58.223828,"baseline_deflection_mm":null},"tier":"hard","round_id":"round_002"},{"id":"r02_004_medium","version":"1.0","name":"Cantilever Bracket — PLA — 41 kg @ 125 mm [medium, stiffness]","description":"A medium-difficulty cantilever bracket in PLA (FDM). Mounts flush to a vertical wall and cantilevers a 41.5 kg load 125 mm from the wall face. Maximize stiffness-to-weight ratio while surviving the load.","material":"pla","constraints":{"load_newtons":406.86,"load_point_mm":[125.3,36.5,39.4],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[53.1,0.0],[0.0,53.1],[53.1,53.1]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[151.0,73.1,78.8],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"stiffness_to_weight","direction":"maximize","baseline_mass_grams":null,"baseline_stiffness_to_weight":90.702922,"baseline_deflection_mm":null},"tier":"medium","round_id":"round_002"},{"id":"r02_005_easy","version":"1.0","name":"Cantilever Bracket — PETG — 23 kg @ 89 mm [easy, stiffness]","description":"An easy-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 23.3 kg load 89 mm from the wall face. Maximize stiffness-to-weight ratio while surviving the load.","material":"petg","constraints":{"load_newtons":228.43,"load_point_mm":[89.2,53.7,51.5],"safety_factor":1.5,"bolt_pattern_mm":[[0.0,0.0],[60.9,0.0],[121.8,0.0],[0.0,60.9],[60.9,60.9],[121.8,60.9]],"bolt_diameter_clearance_mm":5.5,"mount_face_x_mm":0.0,"build_volume_mm":[180.6,107.4,102.9],"max_overhang_deg":50.0,"min_wall_thickness_mm":1.0},"scoring":{"metric":"stiffness_to_weight","direction":"maximize","baseline_mass_grams":null,"baseline_stiffness_to_weight":236.178939,"baseline_deflection_mm":null},"tier":"easy","round_id":"round_002"},{"id":"r02_005_medium","version":"1.0","name":"Cantilever Bracket — PLA — 31 kg @ 122 mm [medium, stiffness]","description":"A medium-difficulty cantilever bracket in PLA (FDM). Mounts flush to a vertical wall and cantilevers a 31.0 kg load 122 mm from the wall face. Maximize stiffness-to-weight ratio while surviving the load.","material":"pla","constraints":{"load_newtons":304.22,"load_point_mm":[122.4,50.7,52.5],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[40.3,0.0],[80.6,0.0],[0.0,40.3],[40.3,40.3],[80.6,40.3]],"bolt_diameter_clearance_mm":6.5,"mount_face_x_mm":0.0,"build_volume_mm":[129.1,101.4,104.9],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"stiffness_to_weight","direction":"maximize","baseline_mass_grams":null,"baseline_stiffness_to_weight":203.4632,"baseline_deflection_mm":null},"tier":"medium","round_id":"round_002"},{"id":"r02_006_medium","version":"1.0","name":"Cantilever Bracket — PLA — 60 kg @ 81 mm [medium, stiffness]","description":"A medium-difficulty cantilever bracket in PLA (FDM). Mounts flush to a vertical wall and cantilevers a 59.6 kg load 81 mm from the wall face. Maximize stiffness-to-weight ratio while surviving the load.","material":"pla","constraints":{"load_newtons":585.0,"load_point_mm":[81.4,53.7,40.8],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[51.4,0.0],[102.8,0.0],[0.0,51.4],[51.4,51.4],[102.8,51.4]],"bolt_diameter_clearance_mm":6.5,"mount_face_x_mm":0.0,"build_volume_mm":[122.7,107.4,81.5],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"stiffness_to_weight","direction":"maximize","baseline_mass_grams":null,"baseline_stiffness_to_weight":503.317881,"baseline_deflection_mm":null},"tier":"medium","round_id":"round_002"},{"id":"r03_001_easy","version":"1.0","name":"Cantilever Bracket — PETG — 14 kg @ 91 mm [easy, deflection]","description":"An easy-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 14.2 kg load 91 mm from the wall face. Minimize tip deflection under load — maximize absolute stiffness regardless of mass.","material":"petg","constraints":{"load_newtons":139.09,"load_point_mm":[91.4,57.2,46.6],"safety_factor":1.5,"bolt_pattern_mm":[[0.0,0.0],[61.5,0.0],[123.0,0.0],[0.0,61.5],[61.5,61.5],[123.0,61.5]],"bolt_diameter_clearance_mm":6.5,"mount_face_x_mm":0.0,"build_volume_mm":[143.4,114.5,93.2],"max_overhang_deg":50.0,"min_wall_thickness_mm":1.0},"scoring":{"metric":"deflection_mm","direction":"minimize","baseline_mass_grams":null,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":0.002182},"tier":"easy","round_id":"round_003"},{"id":"r03_002_easy","version":"1.0","name":"Cantilever Bracket — PETG — 15 kg @ 97 mm [easy, deflection]","description":"An easy-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 14.6 kg load 97 mm from the wall face. Minimize tip deflection under load — maximize absolute stiffness regardless of mass.","material":"petg","constraints":{"load_newtons":142.83,"load_point_mm":[97.1,47.1,40.7],"safety_factor":1.5,"bolt_pattern_mm":[[0.0,0.0],[55.1,0.0],[110.2,0.0],[0.0,55.1],[55.1,55.1],[110.2,55.1]],"bolt_diameter_clearance_mm":5.5,"mount_face_x_mm":0.0,"build_volume_mm":[168.7,94.2,81.4],"max_overhang_deg":50.0,"min_wall_thickness_mm":1.0},"scoring":{"metric":"deflection_mm","direction":"minimize","baseline_mass_grams":null,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":0.004902},"tier":"easy","round_id":"round_003"},{"id":"r03_003_easy","version":"1.0","name":"Cantilever Bracket — PLA — 23 kg @ 64 mm [easy, deflection]","description":"An easy-difficulty cantilever bracket in PLA (FDM). Mounts flush to a vertical wall and cantilevers a 23.1 kg load 64 mm from the wall face. Minimize tip deflection under load — maximize absolute stiffness regardless of mass.","material":"pla","constraints":{"load_newtons":227.07,"load_point_mm":[63.6,59.3,59.9],"safety_factor":1.5,"bolt_pattern_mm":[[0.0,0.0],[52.5,0.0],[105.0,0.0],[0.0,52.5],[52.5,52.5],[105.0,52.5]],"bolt_diameter_clearance_mm":5.5,"mount_face_x_mm":0.0,"build_volume_mm":[167.3,118.6,119.8],"max_overhang_deg":50.0,"min_wall_thickness_mm":1.0},"scoring":{"metric":"deflection_mm","direction":"minimize","baseline_mass_grams":null,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":0.000327},"tier":"easy","round_id":"round_003"},{"id":"r03_004_easy","version":"1.0","name":"Cantilever Bracket — PLA — 14 kg @ 75 mm [easy, deflection]","description":"An easy-difficulty cantilever bracket in PLA (FDM). Mounts flush to a vertical wall and cantilevers a 13.7 kg load 75 mm from the wall face. Minimize tip deflection under load — maximize absolute stiffness regardless of mass.","material":"pla","constraints":{"load_newtons":134.1,"load_point_mm":[74.9,49.2,54.4],"safety_factor":1.5,"bolt_pattern_mm":[[0.0,0.0],[63.3,0.0],[126.6,0.0],[0.0,63.3],[63.3,63.3],[126.6,63.3]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[182.7,98.4,108.7],"max_overhang_deg":50.0,"min_wall_thickness_mm":1.0},"scoring":{"metric":"deflection_mm","direction":"minimize","baseline_mass_grams":null,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":0.00051},"tier":"easy","round_id":"round_003"},{"id":"r03_005_easy","version":"1.0","name":"Cantilever Bracket — PLA — 24 kg @ 71 mm [easy, deflection]","description":"An easy-difficulty cantilever bracket in PLA (FDM). Mounts flush to a vertical wall and cantilevers a 23.7 kg load 71 mm from the wall face. Minimize tip deflection under load — maximize absolute stiffness regardless of mass.","material":"pla","constraints":{"load_newtons":232.69,"load_point_mm":[71.0,56.7,51.9],"safety_factor":1.5,"bolt_pattern_mm":[[0.0,0.0],[54.3,0.0],[108.6,0.0],[0.0,54.3],[54.3,54.3],[108.6,54.3]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[150.9,113.4,103.8],"max_overhang_deg":50.0,"min_wall_thickness_mm":1.0},"scoring":{"metric":"deflection_mm","direction":"minimize","baseline_mass_grams":null,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":0.00075},"tier":"easy","round_id":"round_003"},{"id":"r03_006_medium","version":"1.0","name":"Cantilever Bracket — PLA — 58 kg @ 98 mm [medium, deflection]","description":"A medium-difficulty cantilever bracket in PLA (FDM). Mounts flush to a vertical wall and cantilevers a 58.3 kg load 98 mm from the wall face. Minimize tip deflection under load — maximize absolute stiffness regardless of mass.","material":"pla","constraints":{"load_newtons":571.84,"load_point_mm":[98.1,43.2,53.4],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[45.9,0.0],[0.0,45.9],[45.9,45.9]],"bolt_diameter_clearance_mm":5.5,"mount_face_x_mm":0.0,"build_volume_mm":[129.7,86.4,106.8],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"deflection_mm","direction":"minimize","baseline_mass_grams":null,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":0.005862},"tier":"medium","round_id":"round_003"},{"id":"r03_007_medium","version":"1.0","name":"Cantilever Bracket — PETG — 37 kg @ 114 mm [medium, deflection]","description":"A medium-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 37.1 kg load 114 mm from the wall face. Minimize tip deflection under load — maximize absolute stiffness regardless of mass.","material":"petg","constraints":{"load_newtons":363.53,"load_point_mm":[113.8,42.6,51.4],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[57.4,0.0],[0.0,57.4],[57.4,57.4]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[143.7,85.2,102.7],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"deflection_mm","direction":"minimize","baseline_mass_grams":null,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":0.011057},"tier":"medium","round_id":"round_003"},{"id":"r03_008_medium","version":"1.0","name":"Cantilever Bracket — Al6061 — 39 kg @ 96 mm [medium, deflection]","description":"A medium-difficulty cantilever bracket in Aluminum 6061-T6. Mounts flush to a vertical wall and cantilevers a 38.5 kg load 96 mm from the wall face. Minimize tip deflection under load — maximize absolute stiffness regardless of mass.","material":"aluminum_6061","constraints":{"load_newtons":377.96,"load_point_mm":[96.1,50.0,49.5],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[58.6,0.0],[117.2,0.0],[0.0,58.6],[58.6,58.6],[117.2,58.6]],"bolt_diameter_clearance_mm":5.5,"mount_face_x_mm":0.0,"build_volume_mm":[155.2,99.9,98.9],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"deflection_mm","direction":"minimize","baseline_mass_grams":null,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":0.000202},"tier":"medium","round_id":"round_003"},{"id":"r03_009_medium","version":"1.0","name":"Cantilever Bracket — PETG — 36 kg @ 129 mm [medium, deflection]","description":"A medium-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 36.2 kg load 129 mm from the wall face. Minimize tip deflection under load — maximize absolute stiffness regardless of mass.","material":"petg","constraints":{"load_newtons":354.88,"load_point_mm":[128.6,50.0,54.7],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[47.9,0.0],[95.8,0.0],[0.0,47.9],[47.9,47.9],[95.8,47.9]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[138.9,100.1,109.4],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"deflection_mm","direction":"minimize","baseline_mass_grams":null,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":0.010969},"tier":"medium","round_id":"round_003"},{"id":"r03_010_medium","version":"1.0","name":"Cantilever Bracket — Al6061 — 48 kg @ 88 mm [medium, deflection]","description":"A medium-difficulty cantilever bracket in Aluminum 6061-T6. Mounts flush to a vertical wall and cantilevers a 47.6 kg load 88 mm from the wall face. Minimize tip deflection under load — maximize absolute stiffness regardless of mass.","material":"aluminum_6061","constraints":{"load_newtons":467.15,"load_point_mm":[88.5,51.1,55.0],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[43.0,0.0],[86.0,0.0],[0.0,43.0],[43.0,43.0],[86.0,43.0]],"bolt_diameter_clearance_mm":6.5,"mount_face_x_mm":0.0,"build_volume_mm":[120.8,102.3,110.0],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"deflection_mm","direction":"minimize","baseline_mass_grams":null,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":0.000138},"tier":"medium","round_id":"round_003"},{"id":"r03_011_medium","version":"1.0","name":"Cantilever Bracket — Al6061 — 34 kg @ 110 mm [medium, deflection]","description":"A medium-difficulty cantilever bracket in Aluminum 6061-T6. Mounts flush to a vertical wall and cantilevers a 34.4 kg load 110 mm from the wall face. Minimize tip deflection under load — maximize absolute stiffness regardless of mass.","material":"aluminum_6061","constraints":{"load_newtons":337.72,"load_point_mm":[109.9,44.7,48.1],"safety_factor":2.0,"bolt_pattern_mm":[[0.0,0.0],[43.5,0.0],[0.0,43.5],[43.5,43.5]],"bolt_diameter_clearance_mm":5.5,"mount_face_x_mm":0.0,"build_volume_mm":[128.9,89.4,96.3],"max_overhang_deg":45.0,"min_wall_thickness_mm":1.2},"scoring":{"metric":"deflection_mm","direction":"minimize","baseline_mass_grams":null,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":0.000326},"tier":"medium","round_id":"round_003"},{"id":"r03_012_hard","version":"1.0","name":"Cantilever Bracket — PETG — 72 kg @ 137 mm [hard, deflection]","description":"A hard-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 71.9 kg load 137 mm from the wall face. Minimize tip deflection under load — maximize absolute stiffness regardless of mass.","material":"petg","constraints":{"load_newtons":705.0,"load_point_mm":[136.6,36.3,38.5],"safety_factor":2.5,"bolt_pattern_mm":[[0.0,0.0],[52.6,0.0],[0.0,52.6],[52.6,52.6]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[106.9,72.6,76.9],"max_overhang_deg":40.0,"min_wall_thickness_mm":1.5},"scoring":{"metric":"deflection_mm","direction":"minimize","baseline_mass_grams":null,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":0.103673},"tier":"hard","round_id":"round_003"},{"id":"r03_013_hard","version":"1.0","name":"Cantilever Bracket — SS316 — 86 kg @ 122 mm [hard, deflection]","description":"A hard-difficulty cantilever bracket in Stainless Steel 316. Mounts flush to a vertical wall and cantilevers a 86.0 kg load 122 mm from the wall face. Minimize tip deflection under load — maximize absolute stiffness regardless of mass.","material":"stainless_316","constraints":{"load_newtons":843.87,"load_point_mm":[122.4,46.4,46.0],"safety_factor":2.5,"bolt_pattern_mm":[[0.0,0.0],[54.8,0.0],[109.6,0.0],[0.0,54.8],[54.8,54.8],[109.6,54.8]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[129.5,92.8,92.1],"max_overhang_deg":40.0,"min_wall_thickness_mm":1.5},"scoring":{"metric":"deflection_mm","direction":"minimize","baseline_mass_grams":null,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":0.000442},"tier":"hard","round_id":"round_003"},{"id":"r03_014_hard","version":"1.0","name":"Cantilever Bracket — PETG — 94 kg @ 171 mm [hard, deflection]","description":"A hard-difficulty cantilever bracket in PETG (FDM). Mounts flush to a vertical wall and cantilevers a 94.2 kg load 171 mm from the wall face. Minimize tip deflection under load — maximize absolute stiffness regardless of mass.","material":"petg","constraints":{"load_newtons":924.4,"load_point_mm":[171.2,40.9,34.5],"safety_factor":2.5,"bolt_pattern_mm":[[0.0,0.0],[41.0,0.0],[0.0,41.0],[41.0,41.0]],"bolt_diameter_clearance_mm":6.5,"mount_face_x_mm":0.0,"build_volume_mm":[104.6,81.7,69.1],"max_overhang_deg":40.0,"min_wall_thickness_mm":1.5},"scoring":{"metric":"deflection_mm","direction":"minimize","baseline_mass_grams":null,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":0.32776},"tier":"hard","round_id":"round_003"},{"id":"r03_015_hard","version":"1.0","name":"Cantilever Bracket — Al6061 — 97 kg @ 129 mm [hard, deflection]","description":"A hard-difficulty cantilever bracket in Aluminum 6061-T6. Mounts flush to a vertical wall and cantilevers a 97.2 kg load 129 mm from the wall face. Minimize tip deflection under load — maximize absolute stiffness regardless of mass.","material":"aluminum_6061","constraints":{"load_newtons":953.92,"load_point_mm":[129.4,35.6,35.0],"safety_factor":2.5,"bolt_pattern_mm":[[0.0,0.0],[51.2,0.0],[0.0,51.2],[51.2,51.2]],"bolt_diameter_clearance_mm":7.0,"mount_face_x_mm":0.0,"build_volume_mm":[129.1,71.2,70.1],"max_overhang_deg":40.0,"min_wall_thickness_mm":1.5},"scoring":{"metric":"deflection_mm","direction":"minimize","baseline_mass_grams":null,"baseline_stiffness_to_weight":null,"baseline_deflection_mm":0.004892},"tier":"hard","round_id":"round_003"}]