=== SAVED CAST: invisibility_4_s51 ===
Normalized points: 60
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.7235, 1.0000)
  [ 1]  (0.7235, 0.9665)
  [ 2]  (0.7235, 0.9329)
  [ 3]  (0.7235, 0.8994)
  [ 4]  (0.7235, 0.8659)
  [ 5]  (0.7235, 0.8323)
  [ 6]  (0.7217, 0.7989)
  [ 7]  (0.7196, 0.7654)
  [ 8]  (0.7175, 0.7319)
  [ 9]  (0.7155, 0.6985)
  [10]  (0.7142, 0.6650)
  [11]  (0.7142, 0.6314)
  [12]  (0.7235, 0.3465)
  [13]  (0.7247, 0.3161)
  [14]  (0.7247, 0.2856)
  [15]  (0.7235, 0.2552)
  [16]  (0.7222, 0.2247)
  [17]  (0.7209, 0.1943)
  [18]  (0.7196, 0.1639)
  [19]  (0.7174, 0.1335)
  [20]  (0.7152, 0.1031)
  [21]  (0.7130, 0.0727)
  [22]  (0.7108, 0.0423)
  [23]  (0.7086, 0.0119)
  [24]  (0.7235, 0.0000)
  [25]  (0.7257, 0.0318)
  [26]  (0.7265, 0.0637)
  [27]  (0.7244, 0.0955)
  [28]  (0.7224, 0.1274)
  [29]  (0.7203, 0.1592)
  [30]  (0.7194, 0.1911)
  [31]  (0.7190, 0.2230)
  [32]  (0.7185, 0.2550)
  [33]  (0.7181, 0.2869)
  [34]  (0.7206, 0.3186)
  [35]  (0.7253, 0.3502)
  [36]  (0.7235, 0.3705)
  [37]  (0.6825, 0.3686)
  [38]  (0.6416, 0.3667)
  [39]  (0.6007, 0.3654)
  [40]  (0.5598, 0.3671)
  [41]  (0.5188, 0.3689)
  [42]  (0.4779, 0.3706)
  [43]  (0.4370, 0.3731)
  [44]  (0.3962, 0.3761)
  [45]  (0.3553, 0.3791)
  [46]  (0.3144, 0.3803)
  [47]  (0.2735, 0.3788)
  [48]  (0.7235, 0.4860)
  [49]  (0.6928, 0.4858)
  [50]  (0.6621, 0.4857)
  [51]  (0.6314, 0.4855)
  [52]  (0.6007, 0.4854)
  [53]  (0.5700, 0.4854)
  [54]  (0.5393, 0.4868)
  [55]  (0.5086, 0.4882)
  [56]  (0.4779, 0.4896)
  [57]  (0.4473, 0.4911)
  [58]  (0.4166, 0.4925)
  [59]  (0.3859, 0.4936)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.7086, 0.0119)  angle=55.4 deg
  V1  (0.7235, 0.0000)  angle=124.7 deg
  V2  (0.7235, 0.3705)  angle=87.4 deg
  V3  (0.2735, 0.3788)  angle=168.7 deg
  V4  (0.7235, 0.4860)  angle=166.9 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
    }
),
