Improve clustering a bit

tools/analyze.py

@@ -3,7 +3,7 @@ import os
 import time
 import json
 from collections import defaultdict
-from concurrent.futures import ProcessPoolExecutor, Executor
+from concurrent.futures import Executor
 from pathlib import Path
 from dataclasses import dataclass, asdict
 from itertools import combinations
@@ -102,7 +102,7 @@ def calc_statistics(pixels: np.array, output_precision: int) -> Stats:
 
 
 def calc_clusters(pixels: np.array, output_precision: int, cluster_attempts=5, seed=0) -> list[Stats]:
-  means, labels = max(
+  means, labels = min(
     (
       # Try k = 2, 3, and 4, and try a few times for each
       vq.kmeans2(pixels.astype(float), k, minit="++", seed=seed + i)
@@ -110,14 +110,21 @@ def calc_clusters(pixels: np.array, output_precision: int, cluster_attempts=5, s
       for i in range(cluster_attempts)
     ),
     key=lambda c:
-      # Evaluate clustering by seeing the average distance in the ab-plane
+      # Evaluate clustering by seeing the average difference in hue angle
       # between the centers. Maximizing this means the clusters are highly
       # distinct, which gives a sense of which k was best.
+      # This is computed by normalizing the ab-plane projection of the means,
+      # then applying a dot product to get the cosine of the angle
+      # between them in that plane, which is the hue difference. Minimizing
+      # this maximizes the differences in hues.
       # A different clustering algorithm may be more suited here, but this
       # is comparatively cheap while still producing reasonable results.
-      (np.array([m1 - m2 for m1, m2 in combinations(c[0][:, 1:], 2)]) ** 2)
-        .sum(axis=1)
-        .mean(axis=0)
+      (np.array([
+        m1 @ m2
+        for m1, m2 in combinations(
+          c[0][:, 1:] / np.linalg.norm(c[0][:, 1:], axis=1)[:, np.newaxis], 2
+        )
+      ])).mean(axis=0)
   )
   return [calc_statistics(pixels[labels == i], output_precision) for i in range(len(means))]
 
@@ -142,6 +149,10 @@ def search_files(image_dir: str) -> dict[str, list[str]]:
   return files
 
 
+def log(*a, **kw):
+  print(*a, **kw, flush=True)
+
+
 class Ingester:
   def __init__(self, dex: dict, output_precision: int, seed: int) -> None:
     self.lookup = {
@@ -158,14 +169,14 @@ class Ingester:
 
   def __call__(self, args: tuple[str, list[str]]) -> dict | Exception:
     form, filenames = args
-    print(f"Ingesting {form}...")
+    log(f"Ingesting {form}...")
     start_time = time.time()
     try:
       all_pixels = np.concatenate([
         get_srgb_pixels(Image.open(fn)) for fn in filenames
       ])
     except Exception as e:
-      print(f"Error loading images for {form}: {e}")
+      log(f"Error loading images for {form}: {e}")
       return e
     try:
       oklab = srgb2oklab(all_pixels)
@@ -175,9 +186,9 @@ class Ingester:
       clusters = calc_clusters(oklab, self.output_precision, seed=self.seed)
       cluster_time = time.time()
     except Exception as e:
-      print(f"Error calculating statistics for {form}: {e}")
+      log(f"Error calculating statistics for {form}: {e}")
       return e
-    print(
+    log(
       f"Completed {form}: ",
       f"{(cluster_time - start_time):.02f}s in total,",
       f"{(cluster_time - calc_time):.02f}s on clustering,",
@@ -194,7 +205,7 @@ class Ingester:
 
 def output_db(results: list[dict], db_file: str):
   if db_file == "-":
-    print(json.dumps(results, indent=2))
+    log(json.dumps(results, indent=2))
     return
 
   with open(db_file, "w") as output:
@@ -215,13 +226,13 @@ def run_ingest(ingest: Ingester, filenames: list[Path], exec: Executor, db_file:
       to_process[form_name].append(path)
     else:
       missing.append(path)
-      print(f"Missing file: {path}")
+      log(f"Missing file: {path}")
   start = time.time()
   results = list(exec.map(ingest, to_process.items()))
   end = time.time()
   success = [r for r in results if not isinstance(r, Exception)]
   errors = [e for e in results if isinstance(e, Exception)]
-  print(
+  log(
     f"Finished ingest of {len(to_process)} forms",
     f"and {sum(len(fns) for fns in to_process.values())} files",
     f"in {(end - start):.2f}s",
@@ -229,11 +240,11 @@ def run_ingest(ingest: Ingester, filenames: list[Path], exec: Executor, db_file:
     f"and {len(errors)} error(s)"
   )
   for e in errors:
-    print(f"Error: {e}")
+    log(f"Error: {e}")
   for m in missing:
-    print(f"Missing: {e}")
+    log(f"Missing: {e}")
   output_db(sorted(success, key=lambda e: (e["num"], e["name"])), db_file)
-  print(f"Output {len(success)} entries to {db_file}")
+  log(f"Output {len(success)} entries to {db_file}")
 
 
 if __name__ == "__main__":
@@ -266,5 +277,6 @@ if __name__ == "__main__":
 
   ingest = Ingester(dex, args.precision, args.seed)
 
-  with ProcessPoolExecutor(max_workers=args.workers) as pool:
+  from concurrent.futures import ProcessPoolExecutor, ThreadPoolExecutor
+  with ThreadPoolExecutor(max_workers=args.workers) as pool:
     run_ingest(ingest, args.images, pool, args.output)

web/database.js

@@ -1,246 +1,246 @@
 const database = [
   {"num": 1, "species": "Bulbasaur", "name": "Bulbasaur", "traits": [], "types": ["Grass", "Poison"], "color": "Green", "total": {"centroid": [0.65316885, -0.0628968, 0.02710759], "tilt": [0.99330233, -0.09311773, 0.04037547], "variance": 0.03033888, "chroma": 0.07277808, "hue": 2.7834988, "size": 147352, "hex": "#6C9D7F"}, "clusters": [{"centroid": [0.66342941, -0.0695412, 0.03023331], "tilt": [0.99135287, -0.10406009, 0.04645424], "variance": 0.00312752, "chroma": 0.08372491, "hue": 2.78662479, "size": 70417, "hex": "#6BA180"}, {"centroid": [0.8343291, -0.07540399, 0.03326602], "tilt": [0.99478199, -0.0901388, 0.03991057], "variance": 0.00164882, "chroma": 0.08369971, "hue": 2.74845701, "size": 44761, "hex": "#9CD9B2"}, {"centroid": [0.27445386, -0.00025367, 0.00080696], "tilt": [0.99999031, -0.00090461, 0.00287399], "variance": 0.00023306, "chroma": 0.00087256, "hue": 3.30855444, "size": 8555, "hex": "#272726"}, {"centroid": [0.41643043, -0.04207449, 0.01564392], "tilt": [0.99388781, -0.09954029, 0.0367168], "variance": 0.00347096, "chroma": 0.04548846, "hue": 2.79140527, "size": 23619, "hex": "#365343"}]},
-  {"num": 2, "species": "Ivysaur", "name": "Ivysaur", "traits": [], "types": ["Grass", "Poison"], "color": "Green", "total": {"centroid": [0.58147129, -0.00334802, -0.0087413], "tilt": [0.99080671, -0.00853257, -0.0129152], "variance": 0.03811943, "chroma": 0.07407753, "hue": 3.53106337, "size": 252786, "hex": "#767B80"}, "clusters": [{"centroid": [0.34956124, -0.01232506, -0.00289096], "tilt": [0.99339125, -0.03107174, -0.00605737], "variance": 0.00635563, "chroma": 0.03690782, "hue": 3.2121259, "size": 76712, "hex": "#333C3C"}, {"centroid": [0.66626652, 0.14159419, 0.02452428], "tilt": [0.97735554, 0.20815812, 0.03614924], "variance": 0.00421953, "chroma": 0.14375201, "hue": 0.17112181, "size": 51625, "hex": "#DC6A80"}, {"centroid": [0.68924821, -0.05794063, -0.02614704], "tilt": [0.99479348, -0.08452861, -0.03749579], "variance": 0.01148308, "chroma": 0.06808647, "hue": 3.56608355, "size": 124449, "hex": "#6AA6AD"}]},
-  {"num": 3, "species": "Venusaur", "name": "Venusaur", "traits": [], "types": ["Grass", "Poison"], "color": "Green", "total": {"centroid": [0.61429051, -0.02681746, -0.00534853], "tilt": [0.99417852, -0.03933977, -0.00710768], "variance": 0.03543045, "chroma": 0.06365741, "hue": 3.44102648, "size": 616975, "hex": "#728A88"}, "clusters": [{"centroid": [0.62733563, -0.05433698, -0.02445138], "tilt": [0.9944833, -0.0863159, -0.0380676], "variance": 0.00134184, "chroma": 0.06587158, "hue": 3.5679484, "size": 244132, "hex": "#5B9398"}, {"centroid": [0.83620305, -0.06485297, -0.01324093], "tilt": [0.9952998, -0.07798938, -0.01557727], "variance": 0.00427591, "chroma": 0.07637815, "hue": 3.37388822, "size": 142162, "hex": "#96D7D3"}, {"centroid": [0.34501967, -0.0063426, 0.00282527], "tilt": [0.99782608, -0.01656171, 0.00684952], "variance": 0.00400439, "chroma": 0.01757036, "hue": 3.39497306, "size": 144685, "hex": "#363A37"}, {"centroid": [0.66344617, 0.07973625, 0.04817707], "tilt": [0.98532281, 0.11958904, 0.07130252], "variance": 0.00956476, "chroma": 0.11388241, "hue": 0.53407789, "size": 85996, "hex": "#C57D6F"}]},
-  {"num": 3, "species": "Venusaur", "name": "Venusaur-Gmax", "traits": ["gmax", "nostart"], "types": ["Grass", "Poison"], "color": "Green", "total": {"centroid": [0.59843855, 0.0296334, 0.05999959], "tilt": [0.9761729, 0.04240533, 0.08988426], "variance": 0.05262373, "chroma": 0.12850703, "hue": 1.3758289, "size": 11073, "hex": "#9C7755"}, "clusters": [{"centroid": [0.66079129, 0.15696964, 0.07800386], "tilt": [0.96432565, 0.23182468, 0.1157055], "variance": 0.00478903, "chroma": 0.17614324, "hue": 0.46967595, "size": 4152, "hex": "#EA5E55"}, {"centroid": [0.37562057, -0.02198761, 0.02122219], "tilt": [0.98388743, -0.04177013, 0.04802161], "variance": 0.02545397, "chroma": 0.06795544, "hue": 3.39551798, "size": 3613, "hex": "#394534"}, {"centroid": [0.76353915, -0.0738108, 0.07975443], "tilt": [0.98261702, -0.10340579, 0.10319744], "variance": 0.0195723, "chroma": 0.13485146, "hue": 2.34909778, "size": 3308, "hex": "#97C178"}]},
-  {"num": 3, "species": "Venusaur", "name": "Venusaur-Mega", "traits": ["mega", "nostart"], "types": ["Grass", "Poison"], "color": "Green", "total": {"centroid": [0.57907934, -0.01653121, -0.00356143], "tilt": [0.99372102, -0.03316955, -0.0032622], "variance": 0.03699038, "chroma": 0.06327452, "hue": 3.38094647, "size": 942316, "hex": "#6F7D7C"}, "clusters": [{"centroid": [0.33802558, -0.0102005, 0.00342761], "tilt": [0.9958882, -0.03151997, 0.00970537], "variance": 0.00401051, "chroma": 0.02774031, "hue": 3.15233412, "size": 275923, "hex": "#323935"}, {"centroid": [0.61155395, -0.05289099, -0.00352836], "tilt": [0.99349292, -0.08559597, -0.00636827], "variance": 0.00448869, "chroma": 0.06823506, "hue": 3.29987727, "size": 409451, "hex": "#5E8E86"}, {"centroid": [0.82683236, -0.04751606, -0.04254999], "tilt": [0.995904, -0.05801188, -0.05192267], "variance": 0.00353787, "chroma": 0.07326305, "hue": 3.90168999, "size": 118630, "hex": "#98D0E4"}, {"centroid": [0.75133175, 0.10505254, 0.01583844], "tilt": [0.98820052, 0.14004708, 0.02179941], "variance": 0.00495493, "chroma": 0.11091078, "hue": 0.18570437, "size": 138312, "hex": "#E891A0"}]},
+  {"num": 2, "species": "Ivysaur", "name": "Ivysaur", "traits": [], "types": ["Grass", "Poison"], "color": "Green", "total": {"centroid": [0.58147129, -0.00334802, -0.0087413], "tilt": [0.99080671, -0.00853257, -0.0129152], "variance": 0.03811943, "chroma": 0.07407753, "hue": 3.53106337, "size": 252786, "hex": "#767B80"}, "clusters": [{"centroid": [0.33288311, -0.00769651, 0.00035137], "tilt": [0.99389065, -0.02221434, 0.0008505], "variance": 0.00416698, "chroma": 0.0334154, "hue": 3.17080022, "size": 68099, "hex": "#323735"}, {"centroid": [0.73571009, 0.04765887, -0.00101392], "tilt": [0.98605778, 0.07712248, 0.00206399], "variance": 0.01986893, "chroma": 0.10970743, "hue": 5.52973252, "size": 95785, "hex": "#C39DA8"}, {"centroid": [0.6057097, -0.05497304, -0.02403194], "tilt": [0.993561, -0.09033899, -0.03959867], "variance": 0.0043915, "chroma": 0.06683631, "hue": 3.53264773, "size": 88902, "hex": "#548C92"}]},
+  {"num": 3, "species": "Venusaur", "name": "Venusaur", "traits": [], "types": ["Grass", "Poison"], "color": "Green", "total": {"centroid": [0.61429051, -0.02681746, -0.00534853], "tilt": [0.99417852, -0.03933977, -0.00710768], "variance": 0.03543045, "chroma": 0.06365741, "hue": 3.44102648, "size": 616975, "hex": "#728A88"}, "clusters": [{"centroid": [0.62733563, -0.05433698, -0.02445138], "tilt": [0.9944833, -0.0863159, -0.0380676], "variance": 0.00134184, "chroma": 0.06587158, "hue": 3.5679484, "size": 244132, "hex": "#5B9398"}, {"centroid": [0.34501967, -0.0063426, 0.00282527], "tilt": [0.99782608, -0.01656171, 0.00684952], "variance": 0.00400439, "chroma": 0.01757036, "hue": 3.39497306, "size": 144685, "hex": "#363A37"}, {"centroid": [0.66344617, 0.07973625, 0.04817707], "tilt": [0.98532281, 0.11958904, 0.07130252], "variance": 0.00956476, "chroma": 0.11388241, "hue": 0.53407789, "size": 85996, "hex": "#C57D6F"}, {"centroid": [0.83620305, -0.06485297, -0.01324093], "tilt": [0.9952998, -0.07798938, -0.01557727], "variance": 0.00427591, "chroma": 0.07637815, "hue": 3.37388822, "size": 142162, "hex": "#96D7D3"}]},
+  {"num": 3, "species": "Venusaur", "name": "Venusaur-Gmax", "traits": ["gmax", "nostart"], "types": ["Grass", "Poison"], "color": "Green", "total": {"centroid": [0.59843855, 0.0296334, 0.05999959], "tilt": [0.9761729, 0.04240533, 0.08988426], "variance": 0.05262373, "chroma": 0.12850703, "hue": 1.3758289, "size": 11073, "hex": "#9C7755"}, "clusters": [{"centroid": [0.71929759, 0.09550457, 0.08266079], "tilt": [0.97116041, 0.14468733, 0.11329913], "variance": 0.02336587, "chroma": 0.16263512, "hue": 0.72343658, "size": 6003, "hex": "#E68764"}, {"centroid": [0.17304203, -3.9e-06, -1.735e-05], "tilt": [0.99999999, -2.256e-05, -0.00010025], "variance": -0.0, "chroma": 1.778e-05, "hue": 4.49103488, "size": 1069, "hex": "#101010"}, {"centroid": [0.53076347, -0.06127947, 0.04203483], "tilt": [0.97732731, -0.09971999, 0.07879554], "variance": 0.01867026, "chroma": 0.11163228, "hue": 2.65344013, "size": 4001, "hex": "#4F7751"}]},
+  {"num": 3, "species": "Venusaur", "name": "Venusaur-Mega", "traits": ["mega", "nostart"], "types": ["Grass", "Poison"], "color": "Green", "total": {"centroid": [0.57907934, -0.01653121, -0.00356143], "tilt": [0.99372102, -0.03316955, -0.0032622], "variance": 0.03699038, "chroma": 0.06327452, "hue": 3.38094647, "size": 942316, "hex": "#6F7D7C"}, "clusters": [{"centroid": [0.61155283, -0.05288635, -0.00352653], "tilt": [0.99349183, -0.0855882, -0.00636516], "variance": 0.00448994, "chroma": 0.06823773, "hue": 3.29986964, "size": 409459, "hex": "#5E8E86"}, {"centroid": [0.33802558, -0.0102005, 0.00342761], "tilt": [0.9958882, -0.03151997, 0.00970537], "variance": 0.00401051, "chroma": 0.02774031, "hue": 3.15233412, "size": 275923, "hex": "#323935"}, {"centroid": [0.78619757, 0.03460703, -0.01112263], "tilt": [0.9917589, 0.04859515, -0.01224318], "variance": 0.01234753, "chroma": 0.09352536, "hue": 5.55965764, "size": 256934, "hex": "#CAB0BF"}]},
   {"num": 4, "species": "Charmander", "name": "Charmander", "traits": [], "types": ["Fire"], "color": "Red", "total": {"centroid": [0.68617365, 0.03033711, 0.06781568], "tilt": [0.99296229, 0.04520817, 0.09476997], "variance": 0.04064443, "chroma": 0.07812088, "hue": 1.17203449, "size": 162870, "hex": "#BA9168"}, "clusters": [{"centroid": [0.75816667, 0.04544058, 0.07841475], "tilt": [0.99271109, 0.05950016, 0.10254724], "variance": 0.00269832, "chroma": 0.09071209, "hue": 1.04567619, "size": 78814, "hex": "#DBA275"}, {"centroid": [0.38477269, 0.01481451, 0.02925989], "tilt": [0.99502237, 0.03891925, 0.0730159], "variance": 0.00617605, "chroma": 0.0369689, "hue": 1.1577642, "size": 43251, "hex": "#504031"}, {"centroid": [0.65177905, 0.17343119, 0.11970522], "tilt": [0.95146915, 0.25291194, 0.17435666], "variance": 0.00059727, "chroma": 0.21078255, "hue": 0.60270869, "size": 2960, "hex": "#F44C22"}, {"centroid": [0.88338976, 0.00543141, 0.08574748], "tilt": [0.9943764, 0.00638639, 0.09721022], "variance": 0.00315649, "chroma": 0.08855347, "hue": 1.51635053, "size": 37845, "hex": "#F1D596"}]},
-  {"num": 5, "species": "Charmeleon", "name": "Charmeleon", "traits": [], "types": ["Fire"], "color": "Red", "total": {"centroid": [0.61757776, 0.08023203, 0.05926212], "tilt": [0.98428349, 0.12675035, 0.09165063], "variance": 0.03908882, "chroma": 0.10212431, "hue": 0.69502037, "size": 223874, "hex": "#B96E5A"}, "clusters": [{"centroid": [0.71809165, 0.0985086, 0.07252116], "tilt": [0.98153736, 0.14225751, 0.10250907], "variance": 0.01270216, "chroma": 0.12509287, "hue": 0.68376186, "size": 163021, "hex": "#E5866C"}, {"centroid": [0.34830796, 0.03127036, 0.02374207], "tilt": [0.99164017, 0.08520772, 0.06256163], "variance": 0.00518057, "chroma": 0.04059313, "hue": 0.72584344, "size": 60853, "hex": "#4C322B"}]},
-  {"num": 6, "species": "Charizard", "name": "Charizard", "traits": [], "types": ["Fire", "Flying"], "color": "Red", "total": {"centroid": [0.64176993, 0.02422436, 0.06979817], "tilt": [0.98853547, 0.03070961, 0.09619405], "variance": 0.03772926, "chroma": 0.09607644, "hue": 1.31562974, "size": 468261, "hex": "#A98559"}, "clusters": [{"centroid": [0.54602357, -0.0781692, -0.05380148], "tilt": [0.98517636, -0.14117659, -0.09723494], "variance": 0.00056274, "chroma": 0.09491455, "hue": 3.74463368, "size": 52898, "hex": "#077D92"}, {"centroid": [0.75086998, 0.04604215, 0.10391433], "tilt": [0.98742734, 0.06273846, 0.13820698], "variance": 0.00681326, "chroma": 0.11521102, "hue": 1.18004271, "size": 315218, "hex": "#DF9F5B"}, {"centroid": [0.34893943, 0.00963604, 0.0277007], "tilt": [0.99379777, 0.02068778, 0.0661254], "variance": 0.00586092, "chroma": 0.03646186, "hue": 1.44133229, "size": 100145, "hex": "#443729"}]},
-  {"num": 6, "species": "Charizard", "name": "Charizard-Gmax", "traits": ["gmax", "nostart"], "types": ["Fire", "Flying"], "color": "Red", "total": {"centroid": [0.60745218, 0.05742132, 0.07613072], "tilt": [0.97509259, 0.12077031, 0.11383666], "variance": 0.07778659, "chroma": 0.11468859, "hue": 0.71300879, "size": 3377627, "hex": "#AF7149"}, "clusters": [{"centroid": [0.98296514, 0.00159968, 0.00611747], "tilt": [0.99967114, 0.00182996, 0.00625675], "variance": 0.00177962, "chroma": 0.01317052, "hue": 5.46176639, "size": 359877, "hex": "#FBF8F4"}, {"centroid": [0.32583406, 0.06578822, 0.03028722], "tilt": [0.96994234, 0.18548718, 0.07933465], "variance": 0.01448734, "chroma": 0.07815719, "hue": 0.30184327, "size": 1326115, "hex": "#532321"}, {"centroid": [0.65887974, 0.11140709, 0.10218391], "tilt": [0.96854356, 0.16480842, 0.15065676], "variance": 0.01151527, "chroma": 0.16274785, "hue": 0.78972469, "size": 1030419, "hex": "#DC6D3E"}, {"centroid": [0.88773517, -0.01310706, 0.16557837], "tilt": [0.98225031, -0.01291646, 0.18420554], "variance": 0.00360062, "chroma": 0.16831356, "hue": 1.65263311, "size": 661216, "hex": "#FDD73B"}]},
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+  {"num": 178, "species": "Xatu", "name": "Xatu", "traits": [], "types": ["Psychic", "Flying"], "color": "Green", "total": {"centroid": [0.56897189, -0.00678099, 0.05153309], "tilt": [0.98569832, -0.00158892, 0.08231668], "variance": 0.055135, "chroma": 0.08113486, "hue": 1.70935451, "size": 175202, "hex": "#7F7753"}, "clusters": [{"centroid": [0.37000027, 0.03292131, 0.0264242], "tilt": [0.98774783, 0.06000884, 0.06072481], "variance": 0.01771999, "chroma": 0.05361038, "hue": 1.04048468, "size": 82565, "hex": "#53382F"}, {"centroid": [0.74631022, -0.04216664, 0.073912], "tilt": [0.98387165, -0.05648944, 0.10156096], "variance": 0.0180281, "chroma": 0.10566673, "hue": 2.6467116, "size": 92637, "hex": "#A5B577"}]},
+  {"num": 179, "species": "Mareep", "name": "Mareep", "traits": [], "types": ["Electric"], "color": "White", "total": {"centroid": [0.7115644, -0.00470784, 0.03639123], "tilt": [0.99626434, -0.00737124, 0.04116585], "variance": 0.04738217, "chroma": 0.0559252, "hue": 1.70865722, "size": 319608, "hex": "#A8A288"}, "clusters": [{"centroid": [0.44627526, -0.0092795, -0.0166248], "tilt": [0.9950414, -0.01695639, -0.02642121], "variance": 0.02263634, "chroma": 0.04240297, "hue": 3.82334308, "size": 104484, "hex": "#4B555D"}, {"centroid": [0.8404132, -0.00248743, 0.06214069], "tilt": [0.99685831, -0.00271581, 0.07399234], "variance": 0.00657356, "chroma": 0.06249284, "hue": 1.62079107, "size": 215124, "hex": "#D8CA9C"}]},
   {"num": 180, "species": "Flaaffy", "name": "Flaaffy", "traits": [], "types": ["Electric"], "color": "Pink", "total": {"centroid": [0.71116531, 0.02777996, -0.00333669], "tilt": [0.99762053, 0.03786345, -0.00472271], "variance": 0.04706919, "chroma": 0.04009208, "hue": 5.70544174, "size": 184932, "hex": "#B09BA3"}, "clusters": [{"centroid": [0.79455138, 0.04870035, -0.0031144], "tilt": [0.9962764, 0.06070857, -0.0037125], "variance": 0.00484862, "chroma": 0.05933061, "hue": 6.0588054, "size": 103673, "hex": "#D7AFBC"}, {"centroid": [0.43822146, 0.01477248, -0.00425964], "tilt": [0.99856656, 0.0337887, -0.00984268], "variance": 0.00313811, "chroma": 0.01935659, "hue": 5.99990708, "size": 29731, "hex": "#584E54"}, {"centroid": [0.2663535, 0.00150553, -0.0003359], "tilt": [0.99995973, 0.00605509, -0.0011977], "variance": 0.00061829, "chroma": 0.00179779, "hue": 5.98101146, "size": 17470, "hex": "#262525"}, {"centroid": [0.92376948, -0.01106966, -0.0047469], "tilt": [0.99968635, -0.01180427, -0.00513647], "variance": 0.00152446, "chroma": 0.0192738, "hue": 3.43419339, "size": 34058, "hex": "#DDE8E9"}]},
   {"num": 181, "species": "Ampharos", "name": "Ampharos", "traits": [], "types": ["Electric"], "color": "Yellow", "total": {"centroid": [0.72439197, -0.00532541, 0.0978837], "tilt": [0.98885151, -0.00448688, 0.12608694], "variance": 0.05603478, "chroma": 0.10082938, "hue": 1.55545191, "size": 248255, "hex": "#BAA45A"}, "clusters": [{"centroid": [0.77880017, -0.00545714, 0.13851689], "tilt": [0.98450337, -0.00691013, 0.17503554], "variance": 0.00101607, "chroma": 0.13865208, "hue": 1.61059894, "size": 101588, "hex": "#D6B33C"}, {"centroid": [0.36511432, 0.00052945, 0.03081036], "tilt": [0.99508791, 0.00348141, 0.07272995], "variance": 0.00774635, "chroma": 0.03208382, "hue": 1.21116765, "size": 62834, "hex": "#443D2B"}, {"centroid": [0.93894788, -0.01813339, 0.1013286], "tilt": [0.99048801, -0.01931511, 0.10859677], "variance": 0.00766822, "chroma": 0.10308124, "hue": 1.77036091, "size": 80065, "hex": "#FAED9B"}, {"centroid": [0.6896818, 0.17274473, 0.04767854], "tilt": [0.96731055, 0.24304933, 0.06780497], "variance": 0.00258579, "chroma": 0.17963264, "hue": 0.26870107, "size": 3768, "hex": "#F56375"}]},
   {"num": 181, "species": "Ampharos", "name": "Ampharos-Mega", "traits": ["mega", "nostart"], "types": ["Electric", "Dragon"], "color": "Yellow", "total": {"centroid": [0.78619393, 0.00127398, 0.04673344], "tilt": [0.99481325, 0.00411206, 0.05974176], "variance": 0.05073421, "chroma": 0.05063803, "hue": 1.55191852, "size": 539317, "hex": "#C5B897"}, "clusters": [{"centroid": [0.89225527, -0.00420307, 0.05321047], "tilt": [0.99508588, -0.00457292, 0.0622919], "variance": 0.01017758, "chroma": 0.05365737, "hue": 1.6212957, "size": 415390, "hex": "#E6DBB4"}, {"centroid": [0.27971784, 0.00961683, 0.00375015], "tilt": [0.99819284, 0.03121465, 0.01264134], "variance": 0.00067737, "chroma": 0.01112552, "hue": 1.01868329, "size": 42220, "hex": "#2D2626"}, {"centroid": [0.47048119, -0.00127609, 0.03401692], "tilt": [0.99600391, -0.00264773, 0.07241553], "variance": 0.00335331, "chroma": 0.03422356, "hue": 1.52859087, "size": 67548, "hex": "#615A45"}, {"centroid": [0.69101518, 0.1492453, 0.04554943], "tilt": [0.9710571, 0.21034111, 0.06491112], "variance": 0.00584938, "chroma": 0.15818643, "hue": 0.42756821, "size": 14159, "hex": "#EC6D78"}]},
@@ -248,245 +248,245 @@ const database = [
   {"num": 183, "species": "Marill", "name": "Marill", "traits": [], "types": ["Water", "Fairy"], "color": "Blue", "total": {"centroid": [0.58563872, -0.03257276, -0.05711022], "tilt": [0.98865117, -0.05847506, -0.10102778], "variance": 0.04055743, "chroma": 0.07533731, "hue": 4.17337238, "size": 170347, "hex": "#57819F"}, "clusters": [{"centroid": [0.47258842, -0.04030668, -0.06335015], "tilt": [0.98788284, -0.07777077, -0.12238933], "variance": 0.0159449, "chroma": 0.0751313, "hue": 4.17081951, "size": 108335, "hex": "#2D6180"}, {"centroid": [0.79881848, -0.03634394, -0.05736384], "tilt": [0.99155761, -0.05047911, -0.07990001], "variance": 0.01763236, "chroma": 0.06806865, "hue": 4.10362143, "size": 55685, "hex": "#94C4E4"}, {"centroid": [0.64512808, 0.13304321, 0.05196584], "tilt": [0.976227, 0.20154492, 0.07878952], "variance": 0.00026635, "chroma": 0.1428375, "hue": 0.37229082, "size": 6327, "hex": "#D66566"}]},
   {"num": 184, "species": "Azumarill", "name": "Azumarill", "traits": [], "types": ["Water", "Fairy"], "color": "Blue", "total": {"centroid": [0.59746214, -0.03191124, -0.05624528], "tilt": [0.98896464, -0.05446054, -0.09558984], "variance": 0.03444299, "chroma": 0.07448742, "hue": 4.24402499, "size": 358908, "hex": "#5B84A2"}, "clusters": [{"centroid": [0.59800875, 0.12232225, 0.0475241], "tilt": [0.97666133, 0.19990983, 0.07771904], "variance": 0.00019597, "chroma": 0.13123478, "hue": 0.37046263, "size": 14927, "hex": "#C15B5C"}, {"centroid": [0.75783905, -0.03765271, -0.05946248], "tilt": [0.99108674, -0.05318798, -0.08400455], "variance": 0.01112161, "chroma": 0.07044241, "hue": 4.25692457, "size": 151877, "hex": "#85B7D8"}, {"centroid": [0.47062604, -0.03935641, -0.06176493], "tilt": [0.9882429, -0.07523189, -0.11821572], "variance": 0.01631447, "chroma": 0.07327597, "hue": 4.18172894, "size": 192104, "hex": "#2E607F"}]},
   {"num": 185, "species": "Sudowoodo", "name": "Sudowoodo", "traits": [], "types": ["Rock"], "color": "Brown", "total": {"centroid": [0.49320359, -0.00179535, 0.04012688], "tilt": [0.99309534, 0.00146933, 0.07413649], "variance": 0.02849855, "chroma": 0.05887342, "hue": 1.42965443, "size": 183927, "hex": "#696147"}, "clusters": [{"centroid": [0.29184214, 0.00030159, 0.01350757], "tilt": [0.99689791, 0.00324016, 0.04368572], "variance": 0.00153735, "chroma": 0.01882962, "hue": 1.46451321, "size": 58855, "hex": "#2E2B24"}, {"centroid": [0.56378342, 0.01753393, 0.05011707], "tilt": [0.99300655, 0.0290402, 0.08818566], "variance": 0.00742101, "chroma": 0.0666591, "hue": 1.21987666, "size": 106511, "hex": "#897053"}, {"centroid": [0.72668241, -0.1193643, 0.0672059], "tilt": [0.98154729, -0.16235923, 0.09007249], "variance": 0.00374149, "chroma": 0.14117065, "hue": 2.63240641, "size": 18561, "hex": "#5EBE78"}]},
-  {"num": 186, "species": "Politoed", "name": "Politoed", "traits": [], "types": ["Water"], "color": "Green", "total": {"centroid": [0.65657404, -0.06841573, 0.09911835], "tilt": [0.98213246, -0.09883651, 0.13946609], "variance": 0.03686318, "chroma": 0.12416272, "hue": 2.24638912, "size": 298981, "hex": "#809D45"}, "clusters": [{"centroid": [0.73872553, -0.08115406, 0.11770865], "tilt": [0.97985401, -0.11162714, 0.15757532], "variance": 0.01089372, "chroma": 0.14630603, "hue": 2.16075269, "size": 234517, "hex": "#96B94B"}, {"centroid": [0.35771081, -0.02207426, 0.03148774], "tilt": [0.99042135, -0.05230478, 0.07358556], "variance": 0.00889853, "chroma": 0.04360638, "hue": 3.12792069, "size": 64464, "hex": "#374029"}]},
-  {"num": 187, "species": "Hoppip", "name": "Hoppip", "traits": [], "types": ["Grass", "Flying"], "color": "Pink", "total": {"centroid": [0.5793548, 0.03071463, 0.03201997], "tilt": [0.98719034, 0.04270208, 0.0544353], "variance": 0.04578791, "chroma": 0.0929495, "hue": 0.94398605, "size": 127400, "hex": "#917264"}, "clusters": [{"centroid": [0.32533644, 0.00128812, 0.01899567], "tilt": [0.99143079, 0.00365201, 0.05236167], "variance": 0.00451806, "chroma": 0.0382747, "hue": 1.84105311, "size": 41641, "hex": "#383329"}, {"centroid": [0.71160564, 0.10759239, 0.00445635], "tilt": [0.98848785, 0.15057011, 0.00684748], "variance": 0.00672693, "chroma": 0.10777493, "hue": 0.04239511, "size": 58733, "hex": "#D9849C"}, {"centroid": [0.6833321, -0.09101674, 0.11198884], "tilt": [0.977837, -0.13154972, 0.16104834], "variance": 0.00871843, "chroma": 0.14497241, "hue": 2.25339768, "size": 27026, "hex": "#7CA93F"}]},
-  {"num": 188, "species": "Skiploom", "name": "Skiploom", "traits": [], "types": ["Grass", "Flying"], "color": "Green", "total": {"centroid": [0.60846776, -0.07691277, 0.09821996], "tilt": [0.97968252, -0.11532807, 0.14844083], "variance": 0.03226338, "chroma": 0.12627724, "hue": 2.23678419, "size": 139585, "hex": "#6C9036"}, "clusters": [{"centroid": [0.69933072, -0.09531209, 0.11903902], "tilt": [0.97637805, -0.13340775, 0.16597152], "variance": 0.00617929, "chroma": 0.1542005, "hue": 2.23710077, "size": 103772, "hex": "#80AF3C"}, {"centroid": [0.34518263, -0.02359877, 0.03789448], "tilt": [0.98925757, -0.06294028, 0.09764379], "variance": 0.00588448, "chroma": 0.04536659, "hue": 2.23548245, "size": 35813, "hex": "#353D22"}]},
+  {"num": 186, "species": "Politoed", "name": "Politoed", "traits": [], "types": ["Water"], "color": "Green", "total": {"centroid": [0.65657404, -0.06841573, 0.09911835], "tilt": [0.98213246, -0.09883651, 0.13946609], "variance": 0.03686318, "chroma": 0.12416272, "hue": 2.24638912, "size": 298981, "hex": "#809D45"}, "clusters": [{"centroid": [0.90726734, -0.03050483, 0.12253616], "tilt": [0.98939418, -0.0326413, 0.13338198], "variance": 0.00300834, "chroma": 0.13069346, "hue": 1.80098733, "size": 41704, "hex": "#EEE47C"}, {"centroid": [0.34321209, -0.01929726, 0.02666977], "tilt": [0.99165242, -0.0478749, 0.06561455], "variance": 0.0066494, "chroma": 0.03763845, "hue": 3.31629442, "size": 58894, "hex": "#343B29"}, {"centroid": [0.64785259, -0.08753042, 0.10980164], "tilt": [0.97677844, -0.13158725, 0.1654781], "variance": 0.00170352, "chroma": 0.1417801, "hue": 2.23842679, "size": 121176, "hex": "#749E36"}, {"centroid": [0.7738828, -0.09636108, 0.12496591], "tilt": [0.9793512, -0.12206412, 0.1582612], "variance": 0.00152952, "chroma": 0.15898596, "hue": 2.2177797, "size": 77207, "hex": "#98C74F"}]},
+  {"num": 187, "species": "Hoppip", "name": "Hoppip", "traits": [], "types": ["Grass", "Flying"], "color": "Pink", "total": {"centroid": [0.5793548, 0.03071463, 0.03201997], "tilt": [0.98719034, 0.04270208, 0.0544353], "variance": 0.04578791, "chroma": 0.0929495, "hue": 0.94398605, "size": 127400, "hex": "#917264"}, "clusters": [{"centroid": [0.30261367, 0.01697836, 0.00512239], "tilt": [0.99534308, 0.04582024, 0.01733891], "variance": 0.00232699, "chroma": 0.02405241, "hue": 1.62589358, "size": 29611, "hex": "#362A2B"}, {"centroid": [0.71160564, 0.10759239, 0.00445635], "tilt": [0.98848785, 0.15057011, 0.00684748], "variance": 0.00672693, "chroma": 0.10777493, "hue": 0.04239511, "size": 58733, "hex": "#D9849C"}, {"centroid": [0.71913665, -0.0935198, 0.11582612], "tilt": [0.97905888, -0.12792101, 0.15786602], "variance": 0.00466562, "chroma": 0.14911949, "hue": 2.25079218, "size": 21349, "hex": "#87B547"}, {"centroid": [0.43494249, -0.05152605, 0.06738342], "tilt": [0.97905688, -0.11458671, 0.14961204], "variance": 0.00837048, "chroma": 0.09126637, "hue": 2.20496714, "size": 17707, "hex": "#445922"}]},
+  {"num": 188, "species": "Skiploom", "name": "Skiploom", "traits": [], "types": ["Grass", "Flying"], "color": "Green", "total": {"centroid": [0.60846776, -0.07691277, 0.09821996], "tilt": [0.97968252, -0.11532807, 0.14844083], "variance": 0.03226338, "chroma": 0.12627724, "hue": 2.23678419, "size": 139585, "hex": "#6C9036"}, "clusters": [{"centroid": [0.77731733, -0.11559982, 0.13628852], "tilt": [0.97455514, -0.14493697, 0.17084925], "variance": 0.00065458, "chroma": 0.17876545, "hue": 2.2740295, "size": 39456, "hex": "#8ECC41"}, {"centroid": [0.33711047, -0.02375534, 0.03625446], "tilt": [0.98923189, -0.06410051, 0.0955535], "variance": 0.00485844, "chroma": 0.04396287, "hue": 2.26389975, "size": 33999, "hex": "#323A21"}, {"centroid": [0.63345181, -0.08999814, 0.10625312], "tilt": [0.97661642, -0.13793233, 0.16355529], "variance": 0.00123832, "chroma": 0.13951216, "hue": 2.26617821, "size": 58551, "hex": "#6D9A35"}, {"centroid": [0.75372535, -0.01288082, 0.11595081], "tilt": [0.98722437, -0.01636195, 0.15226768], "variance": 0.00329697, "chroma": 0.12003804, "hue": 1.69376718, "size": 7579, "hex": "#C4AE50"}]},
   {"num": 189, "species": "Jumpluff", "name": "Jumpluff", "traits": [], "types": ["Grass", "Flying"], "color": "Blue", "total": {"centroid": [0.73539873, -0.00141955, -0.00021489], "tilt": [0.99437143, -0.00082686, -0.01970565], "variance": 0.04775694, "chroma": 0.06589389, "hue": 1.69516079, "size": 443508, "hex": "#A8A9A9"}, "clusters": [{"centroid": [0.92212012, -0.00498861, 0.05944162], "tilt": [0.99783804, -0.00528701, 0.0646062], "variance": 0.00147082, "chroma": 0.05991497, "hue": 1.65808358, "size": 224958, "hex": "#F1E5B8"}, {"centroid": [0.54320257, 0.00225416, -0.06162055], "tilt": [0.99080318, 0.00376406, -0.10648957], "variance": 0.01511319, "chroma": 0.07204811, "hue": 4.78082531, "size": 218550, "hex": "#626D94"}]},
   {"num": 190, "species": "Aipom", "name": "Aipom", "traits": [], "types": ["Normal"], "color": "Purple", "total": {"centroid": [0.59602311, 0.03851282, -0.01037958], "tilt": [0.99190169, 0.07169, -0.03005332], "variance": 0.05105868, "chroma": 0.07011135, "hue": 6.11408412, "size": 97433, "hex": "#917584"}, "clusters": [{"centroid": [0.49568323, 0.05497789, -0.03880594], "tilt": [0.99003915, 0.10049479, -0.06964467], "variance": 0.02504615, "chroma": 0.0712, "hue": 5.70520811, "size": 71142, "hex": "#755477"}, {"centroid": [0.86753731, -0.00604074, 0.06654057], "tilt": [0.99694164, -0.0062542, 0.07707868], "variance": 0.00966163, "chroma": 0.06716551, "hue": 1.6606307, "size": 26291, "hex": "#E0D3A1"}]},
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+  {"num": 191, "species": "Sunkern", "name": "Sunkern", "traits": [], "types": ["Grass"], "color": "Yellow", "total": {"centroid": [0.56835688, -0.01514595, 0.07565902], "tilt": [0.99106064, -0.02068586, 0.11179569], "variance": 0.065107, "chroma": 0.08002246, "hue": 1.66224751, "size": 107381, "hex": "#807840"}, "clusters": [{"centroid": [0.82358019, -0.02151736, 0.13029021], "tilt": [0.9871958, -0.02550275, 0.15632283], "variance": 0.00583509, "chroma": 0.13218965, "hue": 1.72871291, "size": 46770, "hex": "#DAC658"}, {"centroid": [0.28613382, 0.00322661, 0.01362695], "tilt": [0.99817342, 0.00843711, 0.04630214], "variance": 0.00213526, "chroma": 0.01489174, "hue": 1.39758127, "size": 34292, "hex": "#2E2922"}, {"centroid": [0.41978428, -0.01369472, 0.04719554], "tilt": [0.99051657, -0.03223135, 0.11017536], "variance": 0.00204452, "chroma": 0.05493062, "hue": 1.6698307, "size": 19297, "hex": "#504E2E"}, {"centroid": [0.65497107, -0.06641986, 0.0929422], "tilt": [0.98356225, -0.09909738, 0.13951405], "variance": 0.00397095, "chroma": 0.11958392, "hue": 2.15240183, "size": 7022, "hex": "#7F9C4A"}]},
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