=== SAVED CAST: hawking_5_s41 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.8920, 0.9239)
  [ 1]  (0.8450, 0.8378)
  [ 2]  (0.7980, 0.7517)
  [ 3]  (0.7446, 0.6699)
  [ 4]  (0.6832, 0.5933)
  [ 5]  (0.6219, 0.5167)
  [ 6]  (0.5606, 0.4402)
  [ 7]  (0.4993, 0.3636)
  [ 8]  (0.4379, 0.2870)
  [ 9]  (0.4326, 0.1898)
  [10]  (0.4293, 0.0917)
  [11]  (0.4986, 0.0608)
  [12]  (0.5966, 0.0566)
  [13]  (0.6946, 0.0523)
  [14]  (0.7926, 0.0481)
  [15]  (0.8251, 0.0349)
  [16]  (0.8920, 0.4854)
  [17]  (0.8330, 0.4764)
  [18]  (0.7740, 0.4675)
  [19]  (0.7149, 0.4585)
  [20]  (0.6558, 0.4524)
  [21]  (0.5962, 0.4556)
  [22]  (0.5365, 0.4588)
  [23]  (0.4769, 0.4621)
  [24]  (0.4173, 0.4653)
  [25]  (0.3577, 0.4685)
  [26]  (0.2981, 0.4718)
  [27]  (0.2385, 0.4750)
  [28]  (0.1789, 0.4783)
  [29]  (0.1193, 0.4815)
  [30]  (0.0596, 0.4818)
  [31]  (0.0000, 0.4789)
  [32]  (0.8920, 0.1589)
  [33]  (0.9190, 0.1735)
  [34]  (0.9460, 0.1881)
  [35]  (0.9730, 0.2026)
  [36]  (1.0000, 0.2172)
  [37]  (0.9972, 0.2324)
  [38]  (0.9709, 0.2481)
  [39]  (0.9450, 0.2540)
  [40]  (0.9204, 0.2356)
  [41]  (0.8959, 0.2172)
  [42]  (0.8713, 0.1988)
  [43]  (0.8854, 0.1721)
  [44]  (0.9001, 0.1452)
  [45]  (0.9164, 0.1356)
  [46]  (0.9359, 0.1593)
  [47]  (0.9554, 0.1830)
  [48]  (0.8920, 0.9651)
  [49]  (0.8329, 0.8930)
  [50]  (0.7737, 0.8209)
  [51]  (0.7146, 0.7488)
  [52]  (0.6554, 0.6767)
  [53]  (0.5929, 0.6076)
  [54]  (0.5301, 0.5386)
  [55]  (0.4673, 0.4697)
  [56]  (0.4046, 0.4007)
  [57]  (0.3536, 0.3325)
  [58]  (0.4238, 0.2712)
  [59]  (0.4941, 0.2099)
  [60]  (0.5683, 0.1575)
  [61]  (0.6609, 0.1460)
  [62]  (0.7534, 0.1346)
  [63]  (0.7687, 0.1285)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.4379, 0.2870)  angle=35.6 deg
  V1  (0.4293, 0.0917)  angle=67.9 deg
  V2  (0.8251, 0.0349)  angle=103.6 deg
  V3  (0.8920, 0.4854)  angle=107.1 deg
  V4  (0.0000, 0.4789)  angle=157.5 deg
  V5  (0.8920, 0.1589)  angle=48.1 deg
  V6  (1.0000, 0.2172)  angle=72.0 deg
  V7  (0.9972, 0.2324)  angle=49.0 deg
  V8  (0.9450, 0.2540)  angle=49.7 deg
  V9  (0.8713, 0.1988)  angle=80.9 deg
  V10  (0.9001, 0.1452)  angle=30.9 deg
  V11  (0.9164, 0.1356)  angle=81.0 deg
  V12  (0.9554, 0.1830)  angle=44.0 deg
  V13  (0.8920, 0.9651)  angle=136.0 deg
  V14  (0.3536, 0.3325)  angle=85.7 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
    }
),
