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clipping use conservative enclosing disks.", "coverage": { "expected_nodes": 480.0, "actual_nodes": 480, "residual_underfill": 68.60000000000002, "occupied_tiles": 149, "usable_tiles": 150, "tile_size": 40, "reseed_attempts": 0, "reseeds": 0, "occupied_tile_area_fraction": 0.9933333333333333 }, "fill_area": false }, { "example": "lines", "palette": "blueprint", "seed": 7, "target_nodes": 480, "nodes": 480, "edges": 475, "dimensions": [ 632, 432 ], "attempts": 2189, "accepted_attempts": 480, "rejected_attempts": 1709, "status": "target_reached", "generation_seconds": 0.1975257000012789, "validation_seconds": 0.013657000003149733, "render_seconds": 0.022795199998654425, "validation": { "objects": 955, "candidate_pairs": 795 }, "quality": { "removed_nodes": 0, "refill_passes": 0, "refill_attempts": 0, "refill_additions": 0, "hard_rejections": 99, "soft_rejections": 48, "minimum_angle": 30.034279495885638, "angle_histogram": [ 0, 157, 157, 158, 169, 155 ], "achieved_nodes": 480, "target_shortfall": 0 }, "components": 5, "command": "python -m graph_ics render --example lines --palette blueprint --seed 7 --output examples/output/lines-blueprint.png", "options": [ "edge_style=double", "edge_thickness=2" ], "explanation": "Parallel strokes share a single reserved full-width corridor.", "limitation": "Style changes do not open gaps in collision protection.", "coverage": { "expected_nodes": 480.0, "actual_nodes": 480, "residual_underfill": 59.000000000000014, "occupied_tiles": 150, "usable_tiles": 150, "tile_size": 40, "reseed_attempts": 0, "reseeds": 0, "occupied_tile_area_fraction": 1.0 }, "fill_area": false }, { "example": "arctic_atlas", "palette": "arctic", "seed": 7, "target_nodes": 4000, "nodes": 4000, "edges": 3995, "dimensions": [ 1632, 1032 ], "attempts": 34345, "accepted_attempts": 4000, "rejected_attempts": 30345, "status": "target_reached", "generation_seconds": 3.1394736999936868, "validation_seconds": 0.12281040000380017, "render_seconds": 0.1660762999963481, "validation": { "objects": 7995, "candidate_pairs": 6450 }, "quality": { "removed_nodes": 0, "refill_passes": 0, "refill_attempts": 0, "refill_additions": 0, "hard_rejections": 1223, "soft_rejections": 467, "minimum_angle": 30.061788281718265, "angle_histogram": [ 0, 1302, 1317, 1387, 1309, 1339 ], "achieved_nodes": 4000, "target_shortfall": 0 }, "components": 5, "command": "python -m graph_ics render --example arctic_atlas --palette arctic --seed 7 --output examples/output/arctic_atlas-arctic.png", "options": [ "target_nodes=4000", "Text.padding_em", "coverage" ], "explanation": "A broad, dense name composition intended for close inspection at full resolution.", "limitation": "Large output takes more generation, validation, and export time.", "coverage": { "expected_nodes": 3999.9999999999995, "actual_nodes": 4000, "residual_underfill": 405.25127263427663, "occupied_tiles": 937, "usable_tiles": 952, "tile_size": 40, "reseed_attempts": 0, "reseeds": 0, "occupied_tile_area_fraction": 0.9981454098241874 }, "fill_area": false }, { "example": "panorama", "palette": "aurora", "seed": 7, "target_nodes": 7000, "nodes": 7000, "edges": 6995, "dimensions": [ 2632, 1432 ], "attempts": 52645, "accepted_attempts": 7000, "rejected_attempts": 45645, "status": "target_reached", "generation_seconds": 7.293206700007431, "validation_seconds": 0.21943719999399036, "render_seconds": 0.33588240001699887, "validation": { "objects": 13995, "candidate_pairs": 11186 }, "quality": { "removed_nodes": 0, "refill_passes": 0, "refill_attempts": 0, "refill_additions": 0, "hard_rejections": 1811, "soft_rejections": 710, "minimum_angle": 30.00102201258256, "angle_histogram": [ 0, 2172, 2321, 2421, 2352, 2362 ], "achieved_nodes": 7000, "target_shortfall": 0 }, "components": 5, "command": "python -m graph_ics render --example panorama --palette aurora --seed 7 --output examples/output/panorama-aurora.png", "options": [ "target_nodes=7000", "coordinated_scale", "output dimensions" ], "explanation": "A wide network with a coordinated wave in scale and a central title.", "limitation": "A high node target may still leave local gaps.", "coverage": { "expected_nodes": 7000.000000000001, "actual_nodes": 7000, "residual_underfill": 1154.8754336774857, "occupied_tiles": 2134, "usable_tiles": 2170, "tile_size": 40, "reseed_attempts": 0, "reseeds": 0, "occupied_tile_area_fraction": 0.9948592304267495 }, "fill_area": false }, { "example": "archipelago", "palette": "blueprint", "seed": 7, "target_nodes": 8000, "nodes": 8000, "edges": 7997, "dimensions": [ 3232, 1832 ], "attempts": 21919, "accepted_attempts": 7997, "rejected_attempts": 13922, "status": "target_reached", "generation_seconds": 9.701457599992864, "validation_seconds": 0.4608285000140313, "render_seconds": 0.3809135000046808, "validation": { "objects": 15997, "candidate_pairs": 46627 }, "quality": { "removed_nodes": 0, "refill_passes": 0, "refill_attempts": 0, "refill_additions": 0, "hard_rejections": 1277, "soft_rejections": 750, "minimum_angle": 30.005072591512075, "angle_histogram": [ 0, 2111, 2522, 2702, 2678, 2697 ], "achieved_nodes": 8000, "target_shortfall": 0 }, "components": 3, "command": "python -m graph_ics render --example archipelago --palette blueprint --seed 7 --output examples/output/archipelago-blueprint.png", "options": [ "target_nodes=8000", "three colonies", "pairwise clearance" ], "explanation": "Three colonies claim a large canvas around obstacle islands with hard rival gaps.", "limitation": "This is spatial competition, not resource consumption or biological survival.", "coverage": { "expected_nodes": 7999.999999999999, "actual_nodes": 8000, "residual_underfill": 2135.437067773167, "occupied_tiles": 2817, "usable_tiles": 3487, "tile_size": 40, "reseed_attempts": 0, "reseeds": 0, "occupied_tile_area_fraction": 0.8089413324112494 }, "fill_area": false }, { "example": "uk_density_only", "palette": "porcelain", "seed": 7, "target_nodes": 18000, "nodes": 5543, "edges": 5031, "dimensions": [ 2041, 3860 ], "attempts": 183823, "accepted_attempts": 5791, "rejected_attempts": 178032, "status": "attempt_budget_exhausted", "generation_seconds": 24.564103700016858, "validation_seconds": 0.2613087999925483, "render_seconds": 0.2992169999924954, "validation": { "objects": 10574, "candidate_pairs": 38908 }, "quality": { "removed_nodes": 248, "refill_passes": 1, "refill_attempts": 36000, "refill_additions": 54, "hard_rejections": 96, "soft_rejections": 114, "minimum_angle": 30.05177502582519, "angle_histogram": [ 0, 445, 1453, 1312, 1537, 1533 ], "achieved_nodes": 5543, "target_shortfall": 12457 }, "components": 512, "command": "python -m graph_ics render --example uk_density_only --palette porcelain --seed 7 --output examples/output/uk_density_only-porcelain.png", "options": [ "SpatialFields.density" ], "explanation": "The same population raster changes spacing while node dimensions stay fixed.", "limitation": "Population is mapped logarithmically; dots are not individual people.", "coverage": { "expected_nodes": 9999.3021330522, "actual_nodes": 5543, "residual_underfill": 4472.759716119934, "occupied_tiles": 786, "usable_tiles": 872, "tile_size": 60, "reseed_attempts": 5000, "reseeds": 610, "occupied_tile_area_fraction": 0.9883851763693074 }, "fill_area": true }, { "example": "uk_density_only", "palette": "arctic", "seed": 7, "target_nodes": 18000, "nodes": 5543, "edges": 5031, "dimensions": [ 2041, 3860 ], "attempts": 183823, "accepted_attempts": 5791, "rejected_attempts": 178032, "status": "attempt_budget_exhausted", "generation_seconds": 25.34369819998392, "validation_seconds": 0.24605410001822747, "render_seconds": 0.305727900005877, "validation": { "objects": 10574, "candidate_pairs": 38908 }, "quality": { "removed_nodes": 248, "refill_passes": 1, "refill_attempts": 36000, "refill_additions": 54, "hard_rejections": 96, "soft_rejections": 114, "minimum_angle": 30.05177502582519, "angle_histogram": [ 0, 445, 1453, 1312, 1537, 1533 ], "achieved_nodes": 5543, "target_shortfall": 12457 }, "components": 512, "command": "python -m graph_ics render --example uk_density_only --palette arctic --seed 7 --output examples/output/uk_density_only-arctic.png", "options": [ "SpatialFields.density" ], "explanation": "The same population raster changes spacing while node dimensions stay fixed.", "limitation": "Population is mapped logarithmically; dots are not individual people.", "coverage": { "expected_nodes": 9999.3021330522, "actual_nodes": 5543, "residual_underfill": 4472.759716119934, "occupied_tiles": 786, "usable_tiles": 872, "tile_size": 60, "reseed_attempts": 5000, "reseeds": 610, "occupied_tile_area_fraction": 0.9883851763693074 }, "fill_area": true }, { "example": "uk_colors", "palette": "porcelain", "seed": 7, "target_nodes": 18000, "nodes": 10834, "edges": 10252, "dimensions": [ 2041, 3860 ], "attempts": 389226, "accepted_attempts": 11284, "rejected_attempts": 377942, "status": "attempt_budget_exhausted", "generation_seconds": 73.3212795999716, "validation_seconds": 0.5815036999993026, "render_seconds": 0.5163463999633677, "validation": { "objects": 21086, "candidate_pairs": 86921 }, "quality": { "removed_nodes": 450, "refill_passes": 1, "refill_attempts": 100000, "refill_additions": 280, "hard_rejections": 0, "soft_rejections": 256, "minimum_angle": 39.722958664232266, "angle_histogram": [ 0, 1682, 3215, 3296, 3381, 3380 ], "achieved_nodes": 10834, "target_shortfall": 7166 }, "components": 582, "command": "python -m graph_ics render --example uk_colors --palette porcelain --seed 7 --output examples/output/uk_colors-porcelain.png", "options": [ "color_map" ], "explanation": "Population controls colour; geometry uses uniform dimensions and spacing.", "limitation": "Colour encodes log population density, not node count.", "coverage": { "expected_nodes": 16513.718592718542, "actual_nodes": 10834, "residual_underfill": 5759.112425424361, "occupied_tiles": 3953, "usable_tiles": 4378, "tile_size": 25, "reseed_attempts": 15000, "reseeds": 882, "occupied_tile_area_fraction": 0.9826683520362186 }, "fill_area": true }, { "example": "uk_colors", "palette": "arctic", "seed": 7, "target_nodes": 18000, "nodes": 10834, "edges": 10252, "dimensions": [ 2041, 3860 ], "attempts": 389226, "accepted_attempts": 11284, "rejected_attempts": 377942, "status": "attempt_budget_exhausted", "generation_seconds": 73.3212795999716, "validation_seconds": 0.5815036999993026, "render_seconds": 0.4837738999631256, "validation": { "objects": 21086, "candidate_pairs": 86921 }, "quality": { "removed_nodes": 450, "refill_passes": 1, "refill_attempts": 100000, "refill_additions": 280, "hard_rejections": 0, "soft_rejections": 256, "minimum_angle": 39.722958664232266, "angle_histogram": [ 0, 1682, 3215, 3296, 3381, 3380 ], "achieved_nodes": 10834, "target_shortfall": 7166 }, "components": 582, "command": "python -m graph_ics render --example uk_colors --palette arctic --seed 7 --output examples/output/uk_colors-arctic.png", "options": [ "color_map" ], "explanation": "Population controls colour; geometry uses uniform dimensions and spacing.", "limitation": "Colour encodes log population density, not node count.", "coverage": { "expected_nodes": 16513.718592718542, "actual_nodes": 10834, "residual_underfill": 5759.112425424361, "occupied_tiles": 3953, "usable_tiles": 4378, "tile_size": 25, "reseed_attempts": 15000, "reseeds": 882, "occupied_tile_area_fraction": 0.9826683520362186 }, "fill_area": true }, { "example": "spain_population", "palette": "porcelain", "seed": 7, "target_nodes": 32000, "nodes": 17017, "edges": 15929, "dimensions": [ 4878, 3632 ], "attempts": 505728, "accepted_attempts": 17605, "rejected_attempts": 488123, "status": "attempt_budget_exhausted", "generation_seconds": 93.36627810000209, "validation_seconds": 0.7493213999841828, "render_seconds": 0.8208654000191018, "validation": { "objects": 32946, "candidate_pairs": 143036 }, "quality": { "removed_nodes": 588, "refill_passes": 1, "refill_attempts": 64000, "refill_additions": 75, "hard_rejections": 0, "soft_rejections": 60, "minimum_angle": 30.92256235400388, "angle_histogram": [ 0, 486, 5014, 4682, 5119, 5226 ], "achieved_nodes": 17017, "target_shortfall": 14983 }, "components": 1088, "command": "python -m graph_ics render --example spain_population --palette porcelain --seed 7 --output examples/output/spain_population-porcelain.png", "options": [ "SpatialFields.density", "SpatialFields.coordinated_scale" ], "explanation": "Population guides spacing and size in Spain, including the Balearics and excluding the Canary Islands.", "limitation": "Small territories may remain empty; this is an artistic map, not a population total.", "coverage": { "expected_nodes": 26358.331140339174, "actual_nodes": 17017, "residual_underfill": 9368.425498651628, "occupied_tiles": 2564, "usable_tiles": 2644, "tile_size": 60, "reseed_attempts": 5000, "reseeds": 1526, "occupied_tile_area_fraction": 0.9972951277400507 }, "fill_area": true }, { "example": "spain_population", "palette": "arctic", "seed": 7, "target_nodes": 32000, "nodes": 17017, "edges": 15929, "dimensions": [ 4878, 3632 ], "attempts": 505728, "accepted_attempts": 17605, "rejected_attempts": 488123, "status": "attempt_budget_exhausted", "generation_seconds": 93.05453440002748, "validation_seconds": 0.7570383000129368, "render_seconds": 0.828478899988113, "validation": { "objects": 32946, "candidate_pairs": 143036 }, "quality": { "removed_nodes": 588, "refill_passes": 1, "refill_attempts": 64000, "refill_additions": 75, "hard_rejections": 0, "soft_rejections": 60, "minimum_angle": 30.92256235400388, "angle_histogram": [ 0, 486, 5014, 4682, 5119, 5226 ], "achieved_nodes": 17017, "target_shortfall": 14983 }, "components": 1088, "command": "python -m graph_ics render --example spain_population --palette arctic --seed 7 --output examples/output/spain_population-arctic.png", "options": [ "SpatialFields.density", "SpatialFields.coordinated_scale" ], "explanation": "Population guides spacing and size in Spain, including the Balearics and excluding the Canary Islands.", "limitation": "Small territories may remain empty; this is an artistic map, not a population total.", "coverage": { "expected_nodes": 26358.331140339174, "actual_nodes": 17017, "residual_underfill": 9368.425498651628, "occupied_tiles": 2564, "usable_tiles": 2644, "tile_size": 60, "reseed_attempts": 5000, "reseeds": 1526, "occupied_tile_area_fraction": 0.9972951277400507 }, "fill_area": true }, { "example": "uk_population", "palette": "porcelain", "seed": 7, "target_nodes": 18000, "nodes": 5989, "edges": 5451, "dimensions": [ 2041, 3860 ], "attempts": 195888, "accepted_attempts": 6246, "rejected_attempts": 189642, "status": "attempt_budget_exhausted", "generation_seconds": 36.1077383000229, "validation_seconds": 0.3019580000254791, "render_seconds": 0.38317889999598265, "validation": { "objects": 11440, "candidate_pairs": 44638 }, "quality": { "removed_nodes": 257, "refill_passes": 1, "refill_attempts": 36000, "refill_additions": 25, "hard_rejections": 3, "soft_rejections": 41, "minimum_angle": 33.16383021583606, "angle_histogram": [ 0, 240, 1557, 1502, 1697, 1677 ], "achieved_nodes": 5989, "target_shortfall": 12011 }, "components": 538, "command": "python -m graph_ics render --example uk_population --palette porcelain --seed 7 --output examples/output/uk_population-porcelain.png", "options": [ "log density mapping", "variable scale", "12000 target nodes" ], "explanation": "WorldPop 2020 population density guides spacing and scale inside a Natural Earth UK boundary.", "limitation": "Artistic logarithmic mapping, not one dot per person. Small islands and narrow coasts can remain empty.", "coverage": { "expected_nodes": 9999.3021330522, "actual_nodes": 5989, "residual_underfill": 4034.312558270309, "occupied_tiles": 787, "usable_tiles": 872, "tile_size": 60, "reseed_attempts": 5000, "reseeds": 645, "occupied_tile_area_fraction": 0.9883396596061655 }, "fill_area": true }, { "example": "uk_population", "palette": "arctic", "seed": 7, "target_nodes": 18000, "nodes": 5989, "edges": 5451, "dimensions": [ 2041, 3860 ], "attempts": 195888, "accepted_attempts": 6246, "rejected_attempts": 189642, "status": "attempt_budget_exhausted", "generation_seconds": 44.81927269999869, "validation_seconds": 0.2670434000028763, "render_seconds": 0.31006290001096204, "validation": { "objects": 11440, "candidate_pairs": 44638 }, "quality": { "removed_nodes": 257, "refill_passes": 1, "refill_attempts": 36000, "refill_additions": 25, "hard_rejections": 3, "soft_rejections": 41, "minimum_angle": 33.16383021583606, "angle_histogram": [ 0, 240, 1557, 1502, 1697, 1677 ], "achieved_nodes": 5989, "target_shortfall": 12011 }, "components": 538, "command": "python -m graph_ics render --example uk_population --palette arctic --seed 7 --output examples/output/uk_population-arctic.png", "options": [ "log density mapping", "variable scale", "12000 target nodes" ], "explanation": "WorldPop 2020 population density guides spacing and scale inside a Natural Earth UK boundary.", "limitation": "Artistic logarithmic mapping, not one dot per person. Small islands and narrow coasts can remain empty.", "coverage": { "expected_nodes": 9999.3021330522, "actual_nodes": 5989, "residual_underfill": 4034.312558270309, "occupied_tiles": 787, "usable_tiles": 872, "tile_size": 60, "reseed_attempts": 5000, "reseeds": 645, "occupied_tile_area_fraction": 0.9883396596061655 }, "fill_area": true } ] }