=== SAVED CAST: hawking_21_s41 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.7149, 0.7819)
  [ 1]  (0.6411, 0.7076)
  [ 2]  (0.5674, 0.6334)
  [ 3]  (0.4937, 0.5592)
  [ 4]  (0.4200, 0.4849)
  [ 5]  (0.3632, 0.4004)
  [ 6]  (0.3317, 0.3006)
  [ 7]  (0.3003, 0.2009)
  [ 8]  (0.2817, 0.1079)
  [ 9]  (0.3820, 0.0783)
  [10]  (0.4824, 0.0487)
  [11]  (0.5827, 0.0191)
  [12]  (0.6862, 0.0134)
  [13]  (0.7908, 0.0158)
  [14]  (0.8954, 0.0183)
  [15]  (1.0000, 0.0207)
  [16]  (0.7149, 0.5751)
  [17]  (0.6602, 0.5664)
  [18]  (0.6056, 0.5577)
  [19]  (0.5509, 0.5489)
  [20]  (0.4962, 0.5402)
  [21]  (0.4416, 0.5315)
  [22]  (0.3869, 0.5228)
  [23]  (0.3320, 0.5158)
  [24]  (0.2771, 0.5087)
  [25]  (0.2222, 0.5016)
  [26]  (0.1673, 0.4946)
  [27]  (0.1124, 0.4875)
  [28]  (0.0575, 0.4804)
  [29]  (0.0026, 0.4733)
  [30]  (0.0000, 0.4436)
  [31]  (0.0323, 0.3986)
  [32]  (0.7149, 0.1048)
  [33]  (0.6981, 0.1521)
  [34]  (0.6814, 0.1994)
  [35]  (0.6528, 0.2307)
  [36]  (0.6026, 0.2330)
  [37]  (0.5525, 0.2353)
  [38]  (0.5023, 0.2376)
  [39]  (0.4564, 0.2353)
  [40]  (0.4532, 0.1852)
  [41]  (0.4500, 0.1351)
  [42]  (0.4634, 0.0967)
  [43]  (0.5118, 0.0833)
  [44]  (0.5601, 0.0698)
  [45]  (0.6085, 0.0563)
  [46]  (0.6331, 0.0825)
  [47]  (0.6439, 0.1315)
  [48]  (0.7149, 0.9866)
  [49]  (0.6448, 0.9225)
  [50]  (0.5747, 0.8583)
  [51]  (0.5045, 0.7941)
  [52]  (0.4344, 0.7299)
  [53]  (0.3996, 0.6473)
  [54]  (0.3869, 0.5532)
  [55]  (0.3742, 0.4590)
  [56]  (0.3677, 0.3670)
  [57]  (0.4364, 0.3012)
  [58]  (0.5050, 0.2354)
  [59]  (0.5962, 0.2269)
  [60]  (0.6912, 0.2279)
  [61]  (0.7863, 0.2290)
  [62]  (0.8813, 0.2300)
  [63]  (0.9731, 0.2443)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.2817, 0.1079)  angle=84.9 deg
  V1  (1.0000, 0.0207)  angle=115.9 deg
  V2  (0.7149, 0.5751)  angle=71.9 deg
  V3  (0.0026, 0.4733)  angle=77.7 deg
  V4  (0.0000, 0.4436)  angle=40.7 deg
  V5  (0.0323, 0.3986)  angle=31.0 deg
  V6  (0.7149, 0.1048)  angle=132.8 deg
  V7  (0.6528, 0.2307)  angle=45.0 deg
  V8  (0.4564, 0.2353)  angle=83.4 deg
  V9  (0.4634, 0.0967)  angle=55.1 deg
  V10  (0.6085, 0.0563)  angle=62.4 deg
  V11  (0.6331, 0.0825)  angle=30.7 deg
  V12  (0.7149, 0.9866)  angle=137.2 deg
  V13  (0.3677, 0.3670)  angle=50.2 deg
  V14  (0.5050, 0.2354)  angle=38.4 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
    }
),
