=== SAVED CAST: hawking_7_s41 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.8762, 0.8759)
  [ 1]  (0.8363, 0.7764)
  [ 2]  (0.7603, 0.6844)
  [ 3]  (0.6715, 0.6062)
  [ 4]  (0.5741, 0.5372)
  [ 5]  (0.4767, 0.4682)
  [ 6]  (0.3793, 0.3992)
  [ 7]  (0.2819, 0.3302)
  [ 8]  (0.2063, 0.2446)
  [ 9]  (0.1655, 0.1325)
  [10]  (0.2685, 0.1241)
  [11]  (0.3878, 0.1277)
  [12]  (0.5071, 0.1312)
  [13]  (0.6264, 0.1322)
  [14]  (0.7457, 0.1317)
  [15]  (0.8051, 0.1314)
  [16]  (0.8762, 0.4038)
  [17]  (0.9102, 0.4393)
  [18]  (0.9442, 0.4747)
  [19]  (0.9782, 0.5101)
  [20]  (1.0000, 0.5396)
  [21]  (0.9511, 0.5350)
  [22]  (0.9023, 0.5304)
  [23]  (0.8597, 0.5120)
  [24]  (0.8243, 0.4780)
  [25]  (0.7890, 0.4439)
  [26]  (0.7847, 0.4138)
  [27]  (0.8275, 0.3897)
  [28]  (0.8702, 0.3655)
  [29]  (0.9171, 0.3618)
  [30]  (0.9658, 0.3676)
  [31]  (0.9587, 0.3849)
  [32]  (0.8762, 0.6145)
  [33]  (0.8136, 0.6125)
  [34]  (0.7510, 0.6104)
  [35]  (0.6885, 0.6084)
  [36]  (0.6259, 0.6063)
  [37]  (0.5633, 0.6043)
  [38]  (0.5008, 0.6022)
  [39]  (0.4382, 0.6025)
  [40]  (0.3756, 0.6032)
  [41]  (0.3130, 0.6038)
  [42]  (0.2504, 0.6045)
  [43]  (0.1878, 0.6052)
  [44]  (0.1252, 0.6058)
  [45]  (0.0626, 0.6065)
  [46]  (0.0000, 0.6072)
  [47]  (0.0171, 0.5756)
  [48]  (0.8762, 0.8007)
  [49]  (0.8286, 0.7546)
  [50]  (0.7809, 0.7084)
  [51]  (0.7333, 0.6623)
  [52]  (0.6857, 0.6161)
  [53]  (0.6362, 0.5719)
  [54]  (0.5862, 0.5283)
  [55]  (0.5362, 0.4848)
  [56]  (0.4862, 0.4412)
  [57]  (0.4362, 0.3976)
  [58]  (0.3861, 0.3541)
  [59]  (0.4046, 0.3167)
  [60]  (0.4636, 0.2898)
  [61]  (0.5299, 0.2888)
  [62]  (0.5962, 0.2879)
  [63]  (0.6626, 0.2869)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.1655, 0.1325)  angle=105.3 deg
  V1  (0.8051, 0.1314)  angle=75.7 deg
  V2  (1.0000, 0.5396)  angle=131.9 deg
  V3  (0.7890, 0.4439)  angle=38.1 deg
  V4  (0.7847, 0.4138)  angle=68.6 deg
  V5  (0.9658, 0.3676)  angle=105.7 deg
  V6  (0.8762, 0.6145)  angle=72.1 deg
  V7  (0.0000, 0.6072)  angle=119.1 deg
  V8  (0.0171, 0.5756)  angle=76.2 deg
  V9  (0.8762, 0.8007)  angle=150.6 deg
  V10  (0.3861, 0.3541)  angle=75.2 deg
  V11  (0.4046, 0.3167)  angle=39.2 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
    }
),
