=== SAVED CAST: hawking_2_s41 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.9254, 0.7082)
  [ 1]  (0.8674, 0.6689)
  [ 2]  (0.8234, 0.6143)
  [ 3]  (0.7794, 0.5598)
  [ 4]  (0.7353, 0.5052)
  [ 5]  (0.6913, 0.4507)
  [ 6]  (0.6485, 0.3952)
  [ 7]  (0.6089, 0.3373)
  [ 8]  (0.5693, 0.2795)
  [ 9]  (0.5296, 0.2217)
  [10]  (0.5810, 0.1928)
  [11]  (0.6468, 0.1685)
  [12]  (0.7135, 0.1475)
  [13]  (0.7822, 0.1339)
  [14]  (0.8510, 0.1203)
  [15]  (0.9198, 0.1066)
  [16]  (0.9254, 0.4804)
  [17]  (0.8593, 0.4791)
  [18]  (0.7932, 0.4778)
  [19]  (0.7271, 0.4766)
  [20]  (0.6610, 0.4753)
  [21]  (0.5949, 0.4741)
  [22]  (0.5288, 0.4743)
  [23]  (0.4627, 0.4747)
  [24]  (0.3966, 0.4751)
  [25]  (0.3305, 0.4755)
  [26]  (0.2644, 0.4759)
  [27]  (0.1983, 0.4763)
  [28]  (0.1322, 0.4767)
  [29]  (0.0661, 0.4771)
  [30]  (0.0000, 0.4776)
  [31]  (0.0116, 0.4449)
  [32]  (0.9254, 0.2884)
  [33]  (0.8888, 0.3029)
  [34]  (0.8521, 0.3173)
  [35]  (0.8155, 0.3318)
  [36]  (0.7788, 0.3282)
  [37]  (0.7421, 0.3140)
  [38]  (0.7053, 0.2999)
  [39]  (0.7080, 0.2820)
  [40]  (0.7415, 0.2612)
  [41]  (0.7749, 0.2403)
  [42]  (0.8083, 0.2195)
  [43]  (0.8467, 0.2191)
  [44]  (0.8859, 0.2223)
  [45]  (0.9150, 0.2283)
  [46]  (0.8829, 0.2511)
  [47]  (0.8508, 0.2739)
  [48]  (0.9254, 0.8934)
  [49]  (0.8855, 0.8116)
  [50]  (0.8456, 0.7299)
  [51]  (0.7857, 0.6634)
  [52]  (0.7174, 0.6033)
  [53]  (0.6491, 0.5432)
  [54]  (0.5808, 0.4831)
  [55]  (0.5125, 0.4230)
  [56]  (0.4826, 0.3433)
  [57]  (0.4740, 0.2527)
  [58]  (0.5521, 0.2258)
  [59]  (0.6411, 0.2069)
  [60]  (0.7300, 0.1880)
  [61]  (0.8191, 0.1696)
  [62]  (0.9096, 0.1599)
  [63]  (1.0000, 0.1501)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.5296, 0.2217)  angle=95.1 deg
  V1  (0.9198, 0.1066)  angle=100.4 deg
  V2  (0.9254, 0.4804)  angle=91.9 deg
  V3  (0.0000, 0.4776)  angle=109.9 deg
  V4  (0.0116, 0.4449)  angle=60.7 deg
  V5  (0.9254, 0.2884)  angle=168.2 deg
  V6  (0.7053, 0.2999)  angle=77.6 deg
  V7  (0.7080, 0.2820)  angle=49.4 deg
  V8  (0.8083, 0.2195)  angle=31.3 deg
  V9  (0.9150, 0.2283)  angle=133.0 deg
  V10  (0.8508, 0.2739)  angle=61.6 deg
  V11  (0.9254, 0.8934)  angle=160.8 deg
  V12  (0.4740, 0.2527)  angle=76.4 deg

--- SUGGESTED DOT TEMPLATE FORMAT ---
// Paste into SpellGestureTracker.java getDotTemplates():
new DotTemplate(DetectedPattern.SPELL_NAME, "description",
    new double[][] {
        // pick key dots from vertices above
    },
    new int[][] {
        // define connections between dots
    }
),
