=== SAVED CAST: cage_3_s51 ===
Normalized points: 60
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.6743, 1.0000)
  [ 1]  (0.6536, 0.9443)
  [ 2]  (0.6406, 0.8861)
  [ 3]  (0.6482, 0.8272)
  [ 4]  (0.6779, 0.7765)
  [ 5]  (0.7115, 0.7274)
  [ 6]  (0.7306, 0.6710)
  [ 7]  (0.7330, 0.6114)
  [ 8]  (0.7310, 0.5518)
  [ 9]  (0.7293, 0.4923)
  [10]  (0.7280, 0.4327)
  [11]  (0.7280, 0.3731)
  [12]  (0.6743, 0.0000)
  [13]  (0.7184, 0.0294)
  [14]  (0.7377, 0.0787)
  [15]  (0.7365, 0.1292)
  [16]  (0.7134, 0.1693)
  [17]  (0.6605, 0.1735)
  [18]  (0.6129, 0.1650)
  [19]  (0.5946, 0.1192)
  [20]  (0.6115, 0.0755)
  [21]  (0.6583, 0.0505)
  [22]  (0.7109, 0.0548)
  [23]  (0.7257, 0.0698)
  [24]  (0.6743, 0.8269)
  [25]  (0.5997, 0.8507)
  [26]  (0.5163, 0.8456)
  [27]  (0.4598, 0.7958)
  [28]  (0.4390, 0.7140)
  [29]  (0.4458, 0.6306)
  [30]  (0.4576, 0.5468)
  [31]  (0.4621, 0.4630)
  [32]  (0.4453, 0.3806)
  [33]  (0.4070, 0.3051)
  [34]  (0.3393, 0.2564)
  [35]  (0.2623, 0.2424)
  [36]  (0.6743, 0.9700)
  [37]  (0.6643, 0.9111)
  [38]  (0.6563, 0.8518)
  [39]  (0.6488, 0.7925)
  [40]  (0.6416, 0.7332)
  [41]  (0.6356, 0.6737)
  [42]  (0.6295, 0.6142)
  [43]  (0.6256, 0.5545)
  [44]  (0.6225, 0.4948)
  [45]  (0.6190, 0.4352)
  [46]  (0.6147, 0.3755)
  [47]  (0.6108, 0.3159)
  [48]  (0.6743, 0.5895)
  [49]  (0.6443, 0.5895)
  [50]  (0.6143, 0.5894)
  [51]  (0.5843, 0.5893)
  [52]  (0.5543, 0.5890)
  [53]  (0.5243, 0.5888)
  [54]  (0.4943, 0.5885)
  [55]  (0.4644, 0.5896)
  [56]  (0.4346, 0.5928)
  [57]  (0.4047, 0.5955)
  [58]  (0.3747, 0.5972)
  [59]  (0.3448, 0.5988)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.6743, 0.0000)  angle=131.9 deg
  V1  (0.7184, 0.0294)  angle=35.0 deg
  V2  (0.7134, 0.1693)  angle=55.5 deg
  V3  (0.6129, 0.1650)  angle=58.0 deg
  V4  (0.5946, 0.1192)  angle=42.9 deg
  V5  (0.6115, 0.0755)  angle=40.9 deg
  V6  (0.6583, 0.0505)  angle=32.6 deg
  V7  (0.7109, 0.0548)  angle=40.8 deg
  V8  (0.7257, 0.0698)  angle=48.5 deg
  V9  (0.6743, 0.8269)  angle=68.4 deg
  V10  (0.5163, 0.8456)  angle=37.9 deg
  V11  (0.4598, 0.7958)  angle=34.4 deg
  V12  (0.2623, 0.2424)  angle=129.9 deg
  V13  (0.6743, 0.9700)  angle=160.1 deg
  V14  (0.6108, 0.3159)  angle=170.7 deg
  V15  (0.6743, 0.5895)  angle=103.2 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
    }
),
