=== SAVED CAST: hawking_23_s41 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.7689, 0.9489)
  [ 1]  (0.7006, 0.8612)
  [ 2]  (0.6323, 0.7734)
  [ 3]  (0.5598, 0.6895)
  [ 4]  (0.4777, 0.6144)
  [ 5]  (0.3957, 0.5393)
  [ 6]  (0.3137, 0.4642)
  [ 7]  (0.2317, 0.3891)
  [ 8]  (0.1496, 0.3140)
  [ 9]  (0.1473, 0.2055)
  [10]  (0.2274, 0.1689)
  [11]  (0.3384, 0.1624)
  [12]  (0.4495, 0.1607)
  [13]  (0.5606, 0.1647)
  [14]  (0.6718, 0.1687)
  [15]  (0.7829, 0.1728)
  [16]  (0.7689, 0.4566)
  [17]  (0.7175, 0.4566)
  [18]  (0.6663, 0.4531)
  [19]  (0.6151, 0.4481)
  [20]  (0.5640, 0.4432)
  [21]  (0.5128, 0.4382)
  [22]  (0.4616, 0.4333)
  [23]  (0.4104, 0.4283)
  [24]  (0.3592, 0.4241)
  [25]  (0.3079, 0.4210)
  [26]  (0.2566, 0.4179)
  [27]  (0.2053, 0.4148)
  [28]  (0.1539, 0.4117)
  [29]  (0.1026, 0.4086)
  [30]  (0.0513, 0.4055)
  [31]  (0.0000, 0.4024)
  [32]  (0.7689, 0.0930)
  [33]  (0.8161, 0.0952)
  [34]  (0.8596, 0.1145)
  [35]  (0.9005, 0.1370)
  [36]  (0.9280, 0.1759)
  [37]  (0.8856, 0.1906)
  [38]  (0.8400, 0.2043)
  [39]  (0.7951, 0.1914)
  [40]  (0.7504, 0.1750)
  [41]  (0.7508, 0.1493)
  [42]  (0.7852, 0.1165)
  [43]  (0.8197, 0.0836)
  [44]  (0.8594, 0.0612)
  [45]  (0.9063, 0.0528)
  [46]  (0.9531, 0.0445)
  [47]  (1.0000, 0.0361)
  [48]  (0.7689, 0.9639)
  [49]  (0.7218, 0.8942)
  [50]  (0.6747, 0.8245)
  [51]  (0.6275, 0.7548)
  [52]  (0.5854, 0.6822)
  [53]  (0.5466, 0.6075)
  [54]  (0.5078, 0.5329)
  [55]  (0.4690, 0.4582)
  [56]  (0.4302, 0.3836)
  [57]  (0.4048, 0.3056)
  [58]  (0.4048, 0.2215)
  [59]  (0.4710, 0.1949)
  [60]  (0.5548, 0.2021)
  [61]  (0.6389, 0.2055)
  [62]  (0.7229, 0.2089)
  [63]  (0.8067, 0.2153)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.1496, 0.3140)  angle=46.3 deg
  V1  (0.1473, 0.2055)  angle=66.6 deg
  V2  (0.7829, 0.1728)  angle=90.8 deg
  V3  (0.7689, 0.4566)  angle=87.1 deg
  V4  (0.0000, 0.4024)  angle=154.6 deg
  V5  (0.9280, 0.1759)  angle=106.1 deg
  V6  (0.8400, 0.2043)  angle=32.7 deg
  V7  (0.7504, 0.1750)  angle=70.7 deg
  V8  (0.7508, 0.1493)  angle=45.6 deg
  V9  (1.0000, 0.0361)  angle=114.1 deg
  V10  (0.7689, 0.9639)  angle=131.9 deg
  V11  (0.4048, 0.2215)  angle=68.1 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
    }
),
