=== SAVED CAST: hawking_8_s41 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.9161, 0.8317)
  [ 1]  (0.8651, 0.7679)
  [ 2]  (0.8141, 0.7040)
  [ 3]  (0.7649, 0.6390)
  [ 4]  (0.7254, 0.5674)
  [ 5]  (0.6859, 0.4958)
  [ 6]  (0.6465, 0.4242)
  [ 7]  (0.6070, 0.3527)
  [ 8]  (0.5889, 0.2804)
  [ 9]  (0.6239, 0.2066)
  [10]  (0.7032, 0.2015)
  [11]  (0.7850, 0.2001)
  [12]  (0.8667, 0.1988)
  [13]  (0.9484, 0.1974)
  [14]  (1.0000, 0.1927)
  [15]  (0.9220, 0.1683)
  [16]  (0.9161, 0.4348)
  [17]  (0.8550, 0.4372)
  [18]  (0.7940, 0.4395)
  [19]  (0.7329, 0.4419)
  [20]  (0.6718, 0.4443)
  [21]  (0.6107, 0.4466)
  [22]  (0.5496, 0.4490)
  [23]  (0.4885, 0.4514)
  [24]  (0.4275, 0.4539)
  [25]  (0.3664, 0.4566)
  [26]  (0.3053, 0.4594)
  [27]  (0.2443, 0.4622)
  [28]  (0.1832, 0.4650)
  [29]  (0.1221, 0.4677)
  [30]  (0.0611, 0.4705)
  [31]  (0.0000, 0.4733)
  [32]  (0.9161, 0.2087)
  [33]  (0.9079, 0.2361)
  [34]  (0.8996, 0.2634)
  [35]  (0.8740, 0.2625)
  [36]  (0.8459, 0.2574)
  [37]  (0.8178, 0.2522)
  [38]  (0.7896, 0.2471)
  [39]  (0.7615, 0.2419)
  [40]  (0.7334, 0.2368)
  [41]  (0.7089, 0.2315)
  [42]  (0.7364, 0.2236)
  [43]  (0.7639, 0.2158)
  [44]  (0.7914, 0.2079)
  [45]  (0.8189, 0.2001)
  [46]  (0.8447, 0.2063)
  [47]  (0.8696, 0.2204)
  [48]  (0.9161, 0.7848)
  [49]  (0.8594, 0.7227)
  [50]  (0.8027, 0.6605)
  [51]  (0.7408, 0.6037)
  [52]  (0.6761, 0.5498)
  [53]  (0.6115, 0.4959)
  [54]  (0.5468, 0.4420)
  [55]  (0.4821, 0.3881)
  [56]  (0.4196, 0.3330)
  [57]  (0.4050, 0.2501)
  [58]  (0.4736, 0.2351)
  [59]  (0.5577, 0.2328)
  [60]  (0.6418, 0.2304)
  [61]  (0.7260, 0.2281)
  [62]  (0.8100, 0.2239)
  [63]  (0.7768, 0.2086)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.5889, 0.2804)  angle=39.4 deg
  V1  (0.6239, 0.2066)  angle=61.0 deg
  V2  (1.0000, 0.1927)  angle=157.4 deg
  V3  (0.9220, 0.1683)  angle=106.1 deg
  V4  (0.9161, 0.4348)  angle=86.5 deg
  V5  (0.0000, 0.4733)  angle=166.5 deg
  V6  (0.9161, 0.2087)  angle=122.9 deg
  V7  (0.8996, 0.2634)  angle=75.3 deg
  V8  (0.7089, 0.2315)  angle=151.8 deg
  V9  (0.8696, 0.2204)  angle=55.7 deg
  V10  (0.9161, 0.7848)  angle=142.3 deg
  V11  (0.4196, 0.3330)  angle=38.6 deg
  V12  (0.4050, 0.2501)  angle=87.6 deg
  V13  (0.8100, 0.2239)  angle=152.3 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
    }
),
