=== SAVED CAST: hawking_20_s41 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.9389, 0.9751)
  [ 1]  (0.8854, 0.8980)
  [ 2]  (0.8320, 0.8209)
  [ 3]  (0.7786, 0.7438)
  [ 4]  (0.7251, 0.6667)
  [ 5]  (0.6717, 0.5896)
  [ 6]  (0.6220, 0.5106)
  [ 7]  (0.5893, 0.4227)
  [ 8]  (0.5566, 0.3348)
  [ 9]  (0.5239, 0.2469)
  [10]  (0.5644, 0.1881)
  [11]  (0.6485, 0.1465)
  [12]  (0.7358, 0.1200)
  [13]  (0.8296, 0.1236)
  [14]  (0.9233, 0.1271)
  [15]  (0.9102, 0.1431)
  [16]  (0.9389, 0.4435)
  [17]  (0.8746, 0.4454)
  [18]  (0.8103, 0.4473)
  [19]  (0.7460, 0.4486)
  [20]  (0.6816, 0.4486)
  [21]  (0.6173, 0.4485)
  [22]  (0.5530, 0.4485)
  [23]  (0.4886, 0.4485)
  [24]  (0.4243, 0.4484)
  [25]  (0.3600, 0.4484)
  [26]  (0.2956, 0.4484)
  [27]  (0.2313, 0.4483)
  [28]  (0.1670, 0.4468)
  [29]  (0.1028, 0.4439)
  [30]  (0.0385, 0.4409)
  [31]  (0.0684, 0.3856)
  [32]  (0.9389, 0.0428)
  [33]  (0.9502, 0.0745)
  [34]  (0.9615, 0.1063)
  [35]  (0.9329, 0.1151)
  [36]  (0.8997, 0.1212)
  [37]  (0.8666, 0.1273)
  [38]  (0.8335, 0.1331)
  [39]  (0.8203, 0.1021)
  [40]  (0.8070, 0.0711)
  [41]  (0.8295, 0.0515)
  [42]  (0.8583, 0.0340)
  [43]  (0.8871, 0.0164)
  [44]  (0.9159, 0.0000)
  [45]  (0.9427, 0.0204)
  [46]  (0.9476, 0.0483)
  [47]  (0.9389, 0.0809)
  [48]  (0.9389, 0.9548)
  [49]  (0.8975, 1.0000)
  [50]  (0.8269, 0.9201)
  [51]  (0.7615, 0.8359)
  [52]  (0.6983, 0.7499)
  [53]  (0.6352, 0.6638)
  [54]  (0.5721, 0.5778)
  [55]  (0.5209, 0.4859)
  [56]  (0.4915, 0.3834)
  [57]  (0.4621, 0.2808)
  [58]  (0.5040, 0.2183)
  [59]  (0.6069, 0.1900)
  [60]  (0.7114, 0.1828)
  [61]  (0.8173, 0.1954)
  [62]  (0.9233, 0.2081)
  [63]  (0.9247, 0.2146)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.5239, 0.2469)  angle=55.0 deg
  V1  (0.9233, 0.1271)  angle=127.1 deg
  V2  (0.9102, 0.1431)  angle=44.7 deg
  V3  (0.9389, 0.4435)  angle=93.7 deg
  V4  (0.0385, 0.4409)  angle=115.8 deg
  V5  (0.0684, 0.3856)  angle=40.1 deg
  V6  (0.9389, 0.0428)  angle=91.9 deg
  V7  (0.9615, 0.1063)  angle=92.6 deg
  V8  (0.8335, 0.1331)  angle=76.8 deg
  V9  (0.8070, 0.0711)  angle=72.2 deg
  V10  (0.9159, 0.0000)  angle=66.9 deg
  V11  (0.9427, 0.0204)  angle=42.9 deg
  V12  (0.9389, 0.9548)  angle=42.4 deg
  V13  (0.8975, 1.0000)  angle=96.1 deg
  V14  (0.4621, 0.2808)  angle=49.8 deg
  V15  (0.5040, 0.2183)  angle=40.8 deg
  V16  (0.9233, 0.2081)  angle=70.6 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
    }
),
