=== SAVED CAST: hawking_3_s41 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.8589, 0.7881)
  [ 1]  (0.8022, 0.7205)
  [ 2]  (0.7455, 0.6529)
  [ 3]  (0.6888, 0.5854)
  [ 4]  (0.6321, 0.5178)
  [ 5]  (0.5757, 0.4499)
  [ 6]  (0.5247, 0.3780)
  [ 7]  (0.4737, 0.3060)
  [ 8]  (0.4226, 0.2340)
  [ 9]  (0.4265, 0.1687)
  [10]  (0.4933, 0.1111)
  [11]  (0.5658, 0.0653)
  [12]  (0.6525, 0.0490)
  [13]  (0.7392, 0.0326)
  [14]  (0.8259, 0.0163)
  [15]  (0.9126, 0.0000)
  [16]  (0.8589, 0.4963)
  [17]  (0.8075, 0.4933)
  [18]  (0.7561, 0.4903)
  [19]  (0.7047, 0.4911)
  [20]  (0.6532, 0.4928)
  [21]  (0.6018, 0.4944)
  [22]  (0.5503, 0.4960)
  [23]  (0.4989, 0.4976)
  [24]  (0.4474, 0.4992)
  [25]  (0.3959, 0.5008)
  [26]  (0.3445, 0.5024)
  [27]  (0.2930, 0.5041)
  [28]  (0.2416, 0.5057)
  [29]  (0.1901, 0.5073)
  [30]  (0.1388, 0.5047)
  [31]  (0.0874, 0.5010)
  [32]  (0.8589, 0.1748)
  [33]  (0.8707, 0.2059)
  [34]  (0.8826, 0.2371)
  [35]  (0.8628, 0.2529)
  [36]  (0.8310, 0.2629)
  [37]  (0.7993, 0.2730)
  [38]  (0.7676, 0.2830)
  [39]  (0.7420, 0.2691)
  [40]  (0.7191, 0.2449)
  [41]  (0.7066, 0.2227)
  [42]  (0.7366, 0.2082)
  [43]  (0.7665, 0.1937)
  [44]  (0.7965, 0.1792)
  [45]  (0.8263, 0.1922)
  [46]  (0.8561, 0.2071)
  [47]  (0.8858, 0.2220)
  [48]  (0.8589, 1.0000)
  [49]  (0.8060, 0.9323)
  [50]  (0.7531, 0.8647)
  [51]  (0.6960, 0.8007)
  [52]  (0.6359, 0.7394)
  [53]  (0.5758, 0.6781)
  [54]  (0.5157, 0.6167)
  [55]  (0.4556, 0.5554)
  [56]  (0.3954, 0.4941)
  [57]  (0.3754, 0.4169)
  [58]  (0.3770, 0.3310)
  [59]  (0.4171, 0.2774)
  [60]  (0.5013, 0.2607)
  [61]  (0.5856, 0.2441)
  [62]  (0.6698, 0.2275)
  [63]  (0.7548, 0.2186)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.4226, 0.2340)  angle=38.7 deg
  V1  (0.4265, 0.1687)  angle=45.9 deg
  V2  (0.9126, 0.0000)  angle=106.8 deg
  V3  (0.8589, 0.4963)  angle=87.2 deg
  V4  (0.0874, 0.5010)  angle=153.0 deg
  V5  (0.8589, 0.1748)  angle=92.1 deg
  V6  (0.8826, 0.2371)  angle=72.3 deg
  V7  (0.7676, 0.2830)  angle=46.1 deg
  V8  (0.7066, 0.2227)  angle=93.5 deg
  V9  (0.7965, 0.1792)  angle=49.5 deg
  V10  (0.8858, 0.2220)  angle=65.4 deg
  V11  (0.8589, 1.0000)  angle=140.0 deg
  V12  (0.3770, 0.3310)  angle=35.7 deg
  V13  (0.4171, 0.2774)  angle=42.1 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
    }
),
