=== SAVED CAST: AK_!_s81 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.8061, 0.5189)
  [ 1]  (0.6725, 0.5315)
  [ 2]  (0.5379, 0.5350)
  [ 3]  (0.4366, 0.4831)
  [ 4]  (0.4606, 0.3529)
  [ 5]  (0.4362, 0.2266)
  [ 6]  (0.3218, 0.1610)
  [ 7]  (0.1884, 0.1595)
  [ 8]  (0.8061, 0.0000)
  [ 9]  (0.8101, 0.0561)
  [10]  (0.8111, 0.1124)
  [11]  (0.8116, 0.1687)
  [12]  (0.8116, 0.2250)
  [13]  (0.8070, 0.2811)
  [14]  (0.8013, 0.3371)
  [15]  (0.7952, 0.3931)
  [16]  (0.8061, 0.3968)
  [17]  (0.7513, 0.3898)
  [18]  (0.6962, 0.3859)
  [19]  (0.6410, 0.3830)
  [20]  (0.5857, 0.3823)
  [21]  (0.5304, 0.3820)
  [22]  (0.4752, 0.3829)
  [23]  (0.4199, 0.3829)
  [24]  (0.8061, 0.5481)
  [25]  (0.7732, 0.5430)
  [26]  (0.7400, 0.5407)
  [27]  (0.7067, 0.5386)
  [28]  (0.6735, 0.5365)
  [29]  (0.6402, 0.5360)
  [30]  (0.6069, 0.5362)
  [31]  (0.5737, 0.5382)
  [32]  (0.8061, 0.9514)
  [33]  (0.7290, 0.9732)
  [34]  (0.6453, 0.9683)
  [35]  (0.6176, 0.8958)
  [36]  (0.6244, 0.8112)
  [37]  (0.6351, 0.7267)
  [38]  (0.5677, 0.6862)
  [39]  (0.4834, 0.6884)
  [40]  (0.8061, 0.7341)
  [41]  (0.7614, 0.7333)
  [42]  (0.7166, 0.7331)
  [43]  (0.6719, 0.7349)
  [44]  (0.6272, 0.7367)
  [45]  (0.5824, 0.7385)
  [46]  (0.5377, 0.7405)
  [47]  (0.4930, 0.7426)
  [48]  (0.8061, 0.8252)
  [49]  (0.7777, 0.8529)
  [50]  (0.7466, 0.8775)
  [51]  (0.7150, 0.9015)
  [52]  (0.6834, 0.9255)
  [53]  (0.6518, 0.9495)
  [54]  (0.6202, 0.9736)
  [55]  (0.5906, 1.0000)
  [56]  (0.8061, 0.9534)
  [57]  (0.6817, 0.9648)
  [58]  (0.5572, 0.9765)
  [59]  (0.4479, 0.9751)
  [60]  (0.5040, 0.8671)
  [61]  (0.5123, 0.7430)
  [62]  (0.4685, 0.6298)
  [63]  (0.3482, 0.6237)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.4366, 0.4831)  angle=73.3 deg
  V1  (0.4362, 0.2266)  angle=49.2 deg
  V2  (0.1884, 0.1595)  angle=164.9 deg
  V3  (0.8061, 0.0000)  angle=100.5 deg
  V4  (0.7952, 0.3931)  angle=77.5 deg
  V5  (0.8061, 0.3968)  angle=168.6 deg
  V6  (0.4199, 0.3829)  angle=156.8 deg
  V7  (0.8061, 0.5481)  angle=165.7 deg
  V8  (0.5737, 0.5382)  angle=115.9 deg
  V9  (0.8061, 0.9514)  angle=103.6 deg
  V10  (0.6453, 0.9683)  angle=65.7 deg
  V11  (0.6351, 0.7267)  angle=66.2 deg
  V12  (0.5677, 0.6862)  angle=32.5 deg
  V13  (0.4834, 0.6884)  angle=170.5 deg
  V14  (0.8061, 0.7341)  angle=173.0 deg
  V15  (0.4930, 0.7426)  angle=162.6 deg
  V16  (0.8061, 0.8252)  angle=120.9 deg
  V17  (0.5906, 1.0000)  angle=150.4 deg
  V18  (0.8061, 0.9534)  angle=173.0 deg
  V19  (0.4479, 0.9751)  angle=116.7 deg
  V20  (0.4685, 0.6298)  angle=65.9 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
    }
),
