=== SAVED CAST: AK_2_s81 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.7777, 0.4557)
  [ 1]  (0.6329, 0.4503)
  [ 2]  (0.4927, 0.4446)
  [ 3]  (0.4866, 0.3004)
  [ 4]  (0.4570, 0.1586)
  [ 5]  (0.4118, 0.0251)
  [ 6]  (0.2772, 0.0000)
  [ 7]  (0.2154, 0.1205)
  [ 8]  (0.7777, 0.0240)
  [ 9]  (0.7777, 0.0693)
  [10]  (0.7777, 0.1146)
  [11]  (0.7777, 0.1599)
  [12]  (0.7792, 0.2052)
  [13]  (0.7822, 0.2504)
  [14]  (0.7846, 0.2956)
  [15]  (0.7846, 0.3409)
  [16]  (0.7777, 0.3585)
  [17]  (0.7233, 0.3554)
  [18]  (0.6688, 0.3528)
  [19]  (0.6143, 0.3522)
  [20]  (0.5598, 0.3516)
  [21]  (0.5053, 0.3522)
  [22]  (0.4508, 0.3528)
  [23]  (0.3963, 0.3541)
  [24]  (0.7777, 0.4923)
  [25]  (0.7294, 0.4913)
  [26]  (0.6812, 0.4911)
  [27]  (0.6330, 0.4923)
  [28]  (0.5847, 0.4936)
  [29]  (0.5365, 0.4949)
  [30]  (0.4883, 0.4972)
  [31]  (0.4401, 0.4999)
  [32]  (0.7777, 0.9415)
  [33]  (0.6792, 0.9564)
  [34]  (0.5806, 0.9712)
  [35]  (0.5420, 0.8942)
  [36]  (0.5367, 0.7947)
  [37]  (0.5241, 0.6959)
  [38]  (0.4498, 0.6544)
  [39]  (0.3515, 0.6709)
  [40]  (0.7777, 0.7403)
  [41]  (0.7396, 0.7427)
  [42]  (0.7014, 0.7452)
  [43]  (0.6633, 0.7477)
  [44]  (0.6252, 0.7503)
  [45]  (0.5871, 0.7530)
  [46]  (0.5489, 0.7556)
  [47]  (0.5108, 0.7579)
  [48]  (0.7777, 0.8449)
  [49]  (0.7543, 0.8707)
  [50]  (0.7253, 0.8918)
  [51]  (0.6959, 0.9123)
  [52]  (0.6662, 0.9323)
  [53]  (0.6365, 0.9524)
  [54]  (0.6096, 0.9759)
  [55]  (0.5831, 1.0000)
  [56]  (0.7777, 0.9687)
  [57]  (0.6781, 0.9746)
  [58]  (0.5786, 0.9829)
  [59]  (0.5642, 0.9173)
  [60]  (0.5797, 0.8188)
  [61]  (0.5820, 0.7200)
  [62]  (0.5200, 0.6527)
  [63]  (0.4212, 0.6459)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.4927, 0.4446)  angle=85.3 deg
  V1  (0.4118, 0.0251)  angle=60.8 deg
  V2  (0.2772, 0.0000)  angle=73.4 deg
  V3  (0.2154, 0.1205)  angle=126.9 deg
  V4  (0.7777, 0.0240)  angle=99.7 deg
  V5  (0.7777, 0.3585)  angle=71.7 deg
  V6  (0.3963, 0.3541)  angle=158.6 deg
  V7  (0.7777, 0.4923)  angle=161.3 deg
  V8  (0.4401, 0.4999)  angle=124.1 deg
  V9  (0.7777, 0.9415)  angle=118.8 deg
  V10  (0.5806, 0.9712)  angle=71.9 deg
  V11  (0.5241, 0.6959)  angle=53.5 deg
  V12  (0.4498, 0.6544)  angle=38.8 deg
  V13  (0.3515, 0.6709)  angle=161.2 deg
  V14  (0.7777, 0.7403)  angle=167.1 deg
  V15  (0.5108, 0.7579)  angle=158.5 deg
  V16  (0.7777, 0.8449)  angle=114.2 deg
  V17  (0.5831, 1.0000)  angle=146.9 deg
  V18  (0.7777, 0.9687)  angle=174.3 deg
  V19  (0.5786, 0.9829)  angle=82.4 deg
  V20  (0.5820, 0.7200)  angle=44.0 deg
  V21  (0.5200, 0.6527)  angle=43.5 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
    }
),
