=== SAVED CAST: hawking_1_s41 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.8946, 1.0000)
  [ 1]  (0.7970, 0.9206)
  [ 2]  (0.7011, 0.8392)
  [ 3]  (0.6052, 0.7578)
  [ 4]  (0.5116, 0.6741)
  [ 5]  (0.4312, 0.5774)
  [ 6]  (0.3508, 0.4807)
  [ 7]  (0.2704, 0.3839)
  [ 8]  (0.1901, 0.2871)
  [ 9]  (0.1213, 0.1818)
  [10]  (0.0524, 0.0766)
  [11]  (0.1454, 0.0337)
  [12]  (0.2691, 0.0152)
  [13]  (0.3948, 0.0101)
  [14]  (0.5204, 0.0051)
  [15]  (0.6461, 0.0000)
  [16]  (0.8946, 0.5556)
  [17]  (0.8352, 0.5597)
  [18]  (0.7758, 0.5639)
  [19]  (0.7164, 0.5681)
  [20]  (0.6569, 0.5709)
  [21]  (0.5974, 0.5712)
  [22]  (0.5378, 0.5714)
  [23]  (0.4783, 0.5717)
  [24]  (0.4187, 0.5720)
  [25]  (0.3592, 0.5722)
  [26]  (0.2996, 0.5725)
  [27]  (0.2401, 0.5727)
  [28]  (0.1805, 0.5730)
  [29]  (0.1213, 0.5691)
  [30]  (0.0627, 0.5586)
  [31]  (0.0041, 0.5480)
  [32]  (0.8946, 0.0938)
  [33]  (0.9157, 0.1462)
  [34]  (0.9368, 0.1985)
  [35]  (0.9579, 0.2509)
  [36]  (0.9148, 0.2770)
  [37]  (0.8631, 0.2996)
  [38]  (0.8113, 0.3222)
  [39]  (0.7700, 0.2966)
  [40]  (0.7320, 0.2548)
  [41]  (0.6941, 0.2130)
  [42]  (0.7384, 0.1842)
  [43]  (0.7874, 0.1562)
  [44]  (0.8364, 0.1282)
  [45]  (0.8872, 0.1143)
  [46]  (0.9415, 0.1295)
  [47]  (0.9959, 0.1447)
  [48]  (0.8946, 0.9480)
  [49]  (0.8230, 0.8786)
  [50]  (0.7505, 0.8102)
  [51]  (0.6757, 0.7444)
  [52]  (0.6009, 0.6785)
  [53]  (0.5261, 0.6126)
  [54]  (0.4513, 0.5467)
  [55]  (0.3913, 0.4692)
  [56]  (0.3447, 0.3811)
  [57]  (0.2981, 0.2930)
  [58]  (0.3819, 0.2456)
  [59]  (0.4713, 0.2024)
  [60]  (0.5696, 0.1861)
  [61]  (0.6679, 0.1699)
  [62]  (0.7662, 0.1529)
  [63]  (0.8642, 0.1349)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.0524, 0.0766)  angle=98.5 deg
  V1  (0.6461, 0.0000)  angle=68.2 deg
  V2  (0.8946, 0.5556)  angle=110.1 deg
  V3  (0.0041, 0.5480)  angle=142.8 deg
  V4  (0.8946, 0.0938)  angle=95.1 deg
  V5  (0.9579, 0.2509)  angle=80.7 deg
  V6  (0.8113, 0.3222)  angle=55.4 deg
  V7  (0.6941, 0.2130)  angle=99.2 deg
  V8  (0.8872, 0.1143)  angle=30.9 deg
  V9  (0.9959, 0.1447)  angle=81.6 deg
  V10  (0.8946, 0.9480)  angle=127.0 deg
  V11  (0.2981, 0.2930)  angle=88.4 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
    }
),
