=== SAVED CAST: magicbag_3_t1 ===
Normalized points: 63
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.9516, 0.9670)
  [ 1]  (0.8552, 0.9719)
  [ 2]  (0.7588, 0.9768)
  [ 3]  (0.6624, 0.9818)
  [ 4]  (0.5659, 0.9839)
  [ 5]  (0.4693, 0.9857)
  [ 6]  (0.3728, 0.9876)
  [ 7]  (0.2763, 0.9895)
  [ 8]  (0.1798, 0.9914)
  [ 9]  (0.0833, 0.9932)
  [10]  (0.0016, 0.9781)
  [11]  (0.0000, 0.8824)
  [12]  (0.0102, 0.7864)
  [13]  (0.0205, 0.6904)
  [14]  (0.0304, 0.5944)
  [15]  (0.0388, 0.4982)
  [16]  (0.0472, 0.4020)
  [17]  (0.0556, 0.3059)
  [18]  (0.0641, 0.2097)
  [19]  (0.0714, 0.1134)
  [20]  (0.0778, 0.0171)
  [21]  (0.9516, 0.4067)
  [22]  (0.9685, 0.4453)
  [23]  (0.9853, 0.4839)
  [24]  (1.0000, 0.5227)
  [25]  (0.9911, 0.5638)
  [26]  (0.9822, 0.6050)
  [27]  (0.9542, 0.6262)
  [28]  (0.9127, 0.6331)
  [29]  (0.8711, 0.6400)
  [30]  (0.8296, 0.6469)
  [31]  (0.7983, 0.6262)
  [32]  (0.7712, 0.5939)
  [33]  (0.7441, 0.5617)
  [34]  (0.7302, 0.5307)
  [35]  (0.7629, 0.5042)
  [36]  (0.7956, 0.4776)
  [37]  (0.8283, 0.4511)
  [38]  (0.8658, 0.4392)
  [39]  (0.9078, 0.4413)
  [40]  (0.9293, 0.4507)
  [41]  (0.8980, 0.4789)
  [42]  (0.9516, 0.8545)
  [43]  (0.8481, 0.8673)
  [44]  (0.7444, 0.8789)
  [45]  (0.6403, 0.8864)
  [46]  (0.5362, 0.8939)
  [47]  (0.4322, 0.9013)
  [48]  (0.3281, 0.9084)
  [49]  (0.2241, 0.8996)
  [50]  (0.1201, 0.8907)
  [51]  (0.0252, 0.8592)
  [52]  (0.0173, 0.7738)
  [53]  (0.1074, 0.7237)
  [54]  (0.2002, 0.6761)
  [55]  (0.2942, 0.6308)
  [56]  (0.3897, 0.5889)
  [57]  (0.4591, 0.5253)
  [58]  (0.4720, 0.4222)
  [59]  (0.4769, 0.3179)
  [60]  (0.4697, 0.2141)
  [61]  (0.4579, 0.1104)
  [62]  (0.4460, 0.0068)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.0016, 0.9781)  angle=78.5 deg
  V1  (0.0778, 0.0171)  angle=110.3 deg
  V2  (0.9516, 0.4067)  angle=42.4 deg
  V3  (1.0000, 0.5227)  angle=32.9 deg
  V4  (0.9822, 0.6050)  angle=40.6 deg
  V5  (0.8296, 0.6469)  angle=42.9 deg
  V6  (0.7302, 0.5307)  angle=75.1 deg
  V7  (0.9293, 0.4507)  angle=114.4 deg
  V8  (0.8980, 0.4789)  angle=56.2 deg
  V9  (0.9516, 0.8545)  angle=91.1 deg
  V10  (0.0252, 0.8592)  angle=66.4 deg
  V11  (0.0173, 0.7738)  angle=66.2 deg
  V12  (0.4591, 0.5253)  angle=40.4 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
    }
),
