=== SAVED CAST: ultimatemend_3_s51 ===
Normalized points: 60
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.1584, 0.2761)
  [ 1]  (0.1675, 0.3193)
  [ 2]  (0.1707, 0.3638)
  [ 3]  (0.1740, 0.4083)
  [ 4]  (0.1773, 0.4528)
  [ 5]  (0.1751, 0.4973)
  [ 6]  (0.1724, 0.5418)
  [ 7]  (0.1697, 0.5864)
  [ 8]  (0.1670, 0.6309)
  [ 9]  (0.1658, 0.6755)
  [10]  (0.1658, 0.7201)
  [11]  (0.1658, 0.7647)
  [12]  (0.1584, 0.5061)
  [13]  (0.1749, 0.5248)
  [14]  (0.1913, 0.5434)
  [15]  (0.2078, 0.5620)
  [16]  (0.2066, 0.5818)
  [17]  (0.1926, 0.6023)
  [18]  (0.1713, 0.6006)
  [19]  (0.1478, 0.5925)
  [20]  (0.1469, 0.5725)
  [21]  (0.1535, 0.5485)
  [22]  (0.1679, 0.5315)
  [23]  (0.1910, 0.5224)
  [24]  (0.1584, 0.5313)
  [25]  (0.1681, 0.5531)
  [26]  (0.1778, 0.5749)
  [27]  (0.1732, 0.5943)
  [28]  (0.1570, 0.6118)
  [29]  (0.1396, 0.6254)
  [30]  (0.1163, 0.6202)
  [31]  (0.0931, 0.6150)
  [32]  (0.0799, 0.6032)
  [33]  (0.0848, 0.5799)
  [34]  (0.0976, 0.5624)
  [35]  (0.1183, 0.5505)
  [36]  (0.1584, 0.7245)
  [37]  (0.1629, 0.6649)
  [38]  (0.1557, 0.6062)
  [39]  (0.1429, 0.5479)
  [40]  (0.1231, 0.4926)
  [41]  (0.0908, 0.4424)
  [42]  (0.0599, 0.4408)
  [43]  (0.0432, 0.4966)
  [44]  (0.0390, 0.5561)
  [45]  (0.0347, 0.6157)
  [46]  (0.0344, 0.6751)
  [47]  (0.0453, 0.7057)
  [48]  (0.1584, 0.4495)
  [49]  (0.2983, 0.2286)
  [50]  (0.5652, 0.1375)
  [51]  (0.8204, 0.2335)
  [52]  (1.0000, 0.4540)
  [53]  (0.9321, 0.7188)
  [54]  (0.6814, 0.8465)
  [55]  (0.4043, 0.8625)
  [56]  (0.1375, 0.7764)
  [57]  (0.0000, 0.5562)
  [58]  (0.0984, 0.3118)
  [59]  (0.3475, 0.3128)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.1658, 0.7647)  angle=178.4 deg
  V1  (0.1584, 0.5061)  angle=140.2 deg
  V2  (0.2078, 0.5620)  angle=44.8 deg
  V3  (0.2066, 0.5818)  angle=30.9 deg
  V4  (0.1926, 0.6023)  angle=60.2 deg
  V5  (0.1478, 0.5925)  angle=68.6 deg
  V6  (0.1910, 0.5224)  angle=173.8 deg
  V7  (0.1584, 0.5313)  angle=98.7 deg
  V8  (0.1778, 0.5749)  angle=37.3 deg
  V9  (0.1396, 0.6254)  angle=50.7 deg
  V10  (0.0799, 0.6032)  angle=59.9 deg
  V11  (0.1183, 0.5505)  angle=106.8 deg
  V12  (0.1584, 0.7245)  angle=162.7 deg
  V13  (0.0908, 0.4424)  angle=54.2 deg
  V14  (0.0599, 0.4408)  angle=76.3 deg
  V15  (0.0453, 0.7057)  angle=136.5 deg
  V16  (0.2983, 0.2286)  angle=38.8 deg
  V17  (0.5652, 0.1375)  angle=39.5 deg
  V18  (0.8204, 0.2335)  angle=30.2 deg
  V19  (1.0000, 0.4540)  angle=53.6 deg
  V20  (0.9321, 0.7188)  angle=48.6 deg
  V21  (0.1375, 0.7764)  angle=40.1 deg
  V22  (0.0000, 0.5562)  angle=53.9 deg
  V23  (0.0984, 0.3118)  angle=68.3 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
    }
),
