=== SAVED CAST: hawking_9_s41 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.6814, 0.7713)
  [ 1]  (0.6325, 0.7064)
  [ 2]  (0.5836, 0.6415)
  [ 3]  (0.5451, 0.5700)
  [ 4]  (0.5075, 0.4980)
  [ 5]  (0.4699, 0.4259)
  [ 6]  (0.4556, 0.3460)
  [ 7]  (0.4438, 0.2659)
  [ 8]  (0.5030, 0.2401)
  [ 9]  (0.5843, 0.2407)
  [10]  (0.6655, 0.2376)
  [11]  (0.7467, 0.2344)
  [12]  (0.8280, 0.2315)
  [13]  (0.9092, 0.2301)
  [14]  (0.9905, 0.2287)
  [15]  (1.0000, 0.2257)
  [16]  (0.6814, 0.4918)
  [17]  (0.6357, 0.4913)
  [18]  (0.5900, 0.4900)
  [19]  (0.5444, 0.4887)
  [20]  (0.4987, 0.4874)
  [21]  (0.4531, 0.4861)
  [22]  (0.4074, 0.4848)
  [23]  (0.3617, 0.4835)
  [24]  (0.3161, 0.4816)
  [25]  (0.2705, 0.4788)
  [26]  (0.2249, 0.4761)
  [27]  (0.1793, 0.4733)
  [28]  (0.1337, 0.4705)
  [29]  (0.0881, 0.4678)
  [30]  (0.0425, 0.4650)
  [31]  (0.0000, 0.4514)
  [32]  (0.6814, 0.2413)
  [33]  (0.6960, 0.2518)
  [34]  (0.7107, 0.2623)
  [35]  (0.7254, 0.2728)
  [36]  (0.7192, 0.2746)
  [37]  (0.7014, 0.2716)
  [38]  (0.6836, 0.2686)
  [39]  (0.6659, 0.2656)
  [40]  (0.6481, 0.2626)
  [41]  (0.6303, 0.2596)
  [42]  (0.6354, 0.2483)
  [43]  (0.6475, 0.2354)
  [44]  (0.6654, 0.2376)
  [45]  (0.6833, 0.2398)
  [46]  (0.7012, 0.2419)
  [47]  (0.7191, 0.2441)
  [48]  (0.6814, 0.7743)
  [49]  (0.6489, 0.7459)
  [50]  (0.6165, 0.7174)
  [51]  (0.5857, 0.6874)
  [52]  (0.5584, 0.6539)
  [53]  (0.5312, 0.6205)
  [54]  (0.5039, 0.5870)
  [55]  (0.4767, 0.5535)
  [56]  (0.4494, 0.5201)
  [57]  (0.4321, 0.4835)
  [58]  (0.4356, 0.4405)
  [59]  (0.4390, 0.3975)
  [60]  (0.4425, 0.3544)
  [61]  (0.4826, 0.3470)
  [62]  (0.5255, 0.3424)
  [63]  (0.5684, 0.3377)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.4438, 0.2659)  angle=74.8 deg
  V1  (1.0000, 0.2257)  angle=157.4 deg
  V2  (0.6814, 0.4918)  angle=40.5 deg
  V3  (0.0000, 0.4514)  angle=145.2 deg
  V4  (0.6814, 0.2413)  angle=52.7 deg
  V5  (0.7254, 0.2728)  angle=128.0 deg
  V6  (0.6303, 0.2596)  angle=104.8 deg
  V7  (0.6475, 0.2354)  angle=53.8 deg
  V8  (0.7191, 0.2441)  angle=87.2 deg
  V9  (0.6814, 0.7743)  angle=127.2 deg
  V10  (0.4425, 0.3544)  angle=75.0 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
    }
),
