=== SAVED CAST: chop_3_s51 ===
Normalized points: 60
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.6857, 1.0000)
  [ 1]  (0.6599, 0.9377)
  [ 2]  (0.6432, 0.8719)
  [ 3]  (0.6265, 0.8060)
  [ 4]  (0.6380, 0.7415)
  [ 5]  (0.6608, 0.6776)
  [ 6]  (0.6969, 0.6223)
  [ 7]  (0.7371, 0.5692)
  [ 8]  (0.7521, 0.5036)
  [ 9]  (0.7553, 0.4363)
  [10]  (0.7450, 0.3692)
  [11]  (0.7303, 0.3029)
  [12]  (0.6857, 0.0000)
  [13]  (0.7301, 0.0290)
  [14]  (0.7681, 0.0609)
  [15]  (0.7596, 0.1134)
  [16]  (0.7293, 0.1411)
  [17]  (0.6763, 0.1432)
  [18]  (0.6232, 0.1452)
  [19]  (0.6025, 0.1059)
  [20]  (0.6315, 0.0700)
  [21]  (0.6753, 0.0411)
  [22]  (0.6974, 0.0807)
  [23]  (0.6829, 0.1317)
  [24]  (0.6857, 0.9662)
  [25]  (0.6836, 0.9225)
  [26]  (0.6798, 0.8790)
  [27]  (0.6747, 0.8356)
  [28]  (0.6697, 0.7922)
  [29]  (0.6647, 0.7488)
  [30]  (0.6597, 0.7053)
  [31]  (0.6549, 0.6619)
  [32]  (0.6502, 0.6184)
  [33]  (0.6454, 0.5750)
  [34]  (0.6424, 0.5316)
  [35]  (0.6523, 0.4891)
  [36]  (0.6857, 0.4363)
  [37]  (0.6444, 0.4377)
  [38]  (0.6032, 0.4390)
  [39]  (0.5619, 0.4391)
  [40]  (0.5206, 0.4393)
  [41]  (0.4794, 0.4394)
  [42]  (0.4381, 0.4396)
  [43]  (0.3968, 0.4397)
  [44]  (0.3555, 0.4399)
  [45]  (0.3143, 0.4400)
  [46]  (0.2731, 0.4376)
  [47]  (0.2319, 0.4350)
  [48]  (0.6857, 0.2051)
  [49]  (0.6583, 0.2050)
  [50]  (0.6310, 0.2050)
  [51]  (0.6036, 0.2050)
  [52]  (0.5764, 0.2072)
  [53]  (0.5491, 0.2094)
  [54]  (0.5218, 0.2116)
  [55]  (0.4946, 0.2138)
  [56]  (0.4673, 0.2160)
  [57]  (0.4401, 0.2182)
  [58]  (0.4128, 0.2204)
  [59]  (0.3855, 0.2226)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.6857, 0.0000)  angle=131.5 deg
  V1  (0.7681, 0.0609)  angle=59.2 deg
  V2  (0.7596, 0.1134)  angle=38.2 deg
  V3  (0.7293, 0.1411)  angle=40.4 deg
  V4  (0.6232, 0.1452)  angle=64.4 deg
  V5  (0.6025, 0.1059)  angle=66.7 deg
  V6  (0.6753, 0.0411)  angle=94.2 deg
  V7  (0.6974, 0.0807)  angle=45.1 deg
  V8  (0.6857, 0.9662)  angle=177.5 deg
  V9  (0.6857, 0.4363)  angle=124.3 deg
  V10  (0.2319, 0.4350)  angle=149.4 deg
  V11  (0.6857, 0.2051)  angle=153.0 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
    }
),
