=== SAVED CAST: manhattan_9_s51 ===
Normalized points: 60
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.9247, 0.8587)
  [ 1]  (0.8236, 0.8712)
  [ 2]  (0.7230, 0.8866)
  [ 3]  (0.6217, 0.8972)
  [ 4]  (0.5202, 0.9060)
  [ 5]  (0.4188, 0.9144)
  [ 6]  (0.3566, 0.8706)
  [ 7]  (0.3419, 0.7698)
  [ 8]  (0.3265, 0.6692)
  [ 9]  (0.3104, 0.5686)
  [10]  (0.2963, 0.4678)
  [11]  (0.2876, 0.3663)
  [12]  (0.9247, 0.6451)
  [13]  (0.9638, 0.6597)
  [14]  (0.9914, 0.6913)
  [15]  (1.0000, 0.7289)
  [16]  (0.9685, 0.7495)
  [17]  (0.9280, 0.7553)
  [18]  (0.8862, 0.7510)
  [19]  (0.8555, 0.7279)
  [20]  (0.8505, 0.6863)
  [21]  (0.8775, 0.6673)
  [22]  (0.9187, 0.6729)
  [23]  (0.9571, 0.6889)
  [24]  (0.9247, 0.8646)
  [25]  (0.8541, 0.8782)
  [26]  (0.7828, 0.8881)
  [27]  (0.7113, 0.8959)
  [28]  (0.6596, 0.8807)
  [29]  (0.6619, 0.8087)
  [30]  (0.6710, 0.7375)
  [31]  (0.6779, 0.6664)
  [32]  (0.6471, 0.6074)
  [33]  (0.5791, 0.5912)
  [34]  (0.5080, 0.5967)
  [35]  (0.4384, 0.6139)
  [36]  (0.9247, 0.3029)
  [37]  (0.8405, 0.3040)
  [38]  (0.7564, 0.3058)
  [39]  (0.6722, 0.3061)
  [40]  (0.5881, 0.3057)
  [41]  (0.5040, 0.3046)
  [42]  (0.4198, 0.3024)
  [43]  (0.3358, 0.2991)
  [44]  (0.2518, 0.2940)
  [45]  (0.1678, 0.2890)
  [46]  (0.0837, 0.2845)
  [47]  (0.0000, 0.2762)
  [48]  (0.9247, 0.1152)
  [49]  (0.8584, 0.1138)
  [50]  (0.7922, 0.1112)
  [51]  (0.7259, 0.1088)
  [52]  (0.6597, 0.1065)
  [53]  (0.5935, 0.1042)
  [54]  (0.5272, 0.1017)
  [55]  (0.4610, 0.0993)
  [56]  (0.3948, 0.0967)
  [57]  (0.3286, 0.0931)
  [58]  (0.2625, 0.0891)
  [59]  (0.1963, 0.0856)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.4188, 0.9144)  angle=39.9 deg
  V1  (0.3566, 0.8706)  angle=46.5 deg
  V2  (0.2876, 0.3663)  angle=118.6 deg
  V3  (1.0000, 0.7289)  angle=69.6 deg
  V4  (0.8862, 0.7510)  angle=31.2 deg
  V5  (0.8555, 0.7279)  angle=46.1 deg
  V6  (0.8505, 0.6863)  angle=61.7 deg
  V7  (0.8775, 0.6673)  angle=43.0 deg
  V8  (0.9571, 0.6889)  angle=77.9 deg
  V9  (0.9247, 0.8646)  angle=68.6 deg
  V10  (0.6596, 0.8807)  angle=75.4 deg
  V11  (0.6779, 0.6664)  angle=33.1 deg
  V12  (0.6471, 0.6074)  angle=49.1 deg
  V13  (0.4384, 0.6139)  angle=161.3 deg
  V14  (0.9247, 0.3029)  angle=148.2 deg
  V15  (0.0000, 0.2762)  angle=164.5 deg
  V16  (0.9247, 0.1152)  angle=168.9 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
    }
),
