=== SAVED CAST: hawking_17_s41 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.6906, 0.9395)
  [ 1]  (0.6329, 0.8571)
  [ 2]  (0.5810, 0.7713)
  [ 3]  (0.5353, 0.6817)
  [ 4]  (0.4896, 0.5921)
  [ 5]  (0.4440, 0.5024)
  [ 6]  (0.3983, 0.4128)
  [ 7]  (0.3813, 0.3139)
  [ 8]  (0.3657, 0.2146)
  [ 9]  (0.3998, 0.1522)
  [10]  (0.4994, 0.1387)
  [11]  (0.5991, 0.1252)
  [12]  (0.6988, 0.1117)
  [13]  (0.7989, 0.1057)
  [14]  (0.8994, 0.1073)
  [15]  (1.0000, 0.1090)
  [16]  (0.6906, 0.4769)
  [17]  (0.6416, 0.4750)
  [18]  (0.5926, 0.4731)
  [19]  (0.5436, 0.4701)
  [20]  (0.4948, 0.4652)
  [21]  (0.4460, 0.4603)
  [22]  (0.3972, 0.4554)
  [23]  (0.3484, 0.4505)
  [24]  (0.2996, 0.4456)
  [25]  (0.2508, 0.4407)
  [26]  (0.2020, 0.4358)
  [27]  (0.1532, 0.4309)
  [28]  (0.1049, 0.4227)
  [29]  (0.0568, 0.4129)
  [30]  (0.0088, 0.4030)
  [31]  (0.0000, 0.3654)
  [32]  (0.6906, 0.0605)
  [33]  (0.7048, 0.0916)
  [34]  (0.7064, 0.1164)
  [35]  (0.6729, 0.1233)
  [36]  (0.6394, 0.1302)
  [37]  (0.6058, 0.1372)
  [38]  (0.5723, 0.1437)
  [39]  (0.5395, 0.1385)
  [40]  (0.5685, 0.1203)
  [41]  (0.5975, 0.1021)
  [42]  (0.6265, 0.0839)
  [43]  (0.6590, 0.0740)
  [44]  (0.6924, 0.0662)
  [45]  (0.6848, 0.0946)
  [46]  (0.6730, 0.1267)
  [47]  (0.6612, 0.1589)
  [48]  (0.6906, 0.9344)
  [49]  (0.6347, 0.8629)
  [50]  (0.5788, 0.7914)
  [51]  (0.5186, 0.7237)
  [52]  (0.4547, 0.6592)
  [53]  (0.3909, 0.5947)
  [54]  (0.3271, 0.5301)
  [55]  (0.2632, 0.4656)
  [56]  (0.2021, 0.3989)
  [57]  (0.1517, 0.3234)
  [58]  (0.1014, 0.2479)
  [59]  (0.1775, 0.2243)
  [60]  (0.2664, 0.2069)
  [61]  (0.3572, 0.2071)
  [62]  (0.4480, 0.2074)
  [63]  (0.5387, 0.2077)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.3657, 0.2146)  angle=37.6 deg
  V1  (0.3998, 0.1522)  angle=53.6 deg
  V2  (1.0000, 0.1090)  angle=129.1 deg
  V3  (0.6906, 0.4769)  angle=52.1 deg
  V4  (0.0088, 0.4030)  angle=65.3 deg
  V5  (0.0000, 0.3654)  angle=79.3 deg
  V6  (0.6906, 0.0605)  angle=89.2 deg
  V7  (0.7064, 0.1164)  angle=82.0 deg
  V8  (0.5395, 0.1385)  angle=138.8 deg
  V9  (0.6924, 0.0662)  angle=118.1 deg
  V10  (0.6906, 0.9344)  angle=144.1 deg
  V11  (0.1014, 0.2479)  angle=106.5 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
    }
),
