=== SAVED CAST: manhattan_5_s51 ===
Normalized points: 60
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.9533, 0.7241)
  [ 1]  (0.8960, 0.7544)
  [ 2]  (0.8177, 0.7668)
  [ 3]  (0.7394, 0.7792)
  [ 4]  (0.6611, 0.7916)
  [ 5]  (0.5831, 0.8057)
  [ 6]  (0.5052, 0.8204)
  [ 7]  (0.4839, 0.7923)
  [ 8]  (0.4864, 0.7131)
  [ 9]  (0.4899, 0.6339)
  [10]  (0.4927, 0.5547)
  [11]  (0.4953, 0.4755)
  [12]  (0.9533, 0.6115)
  [13]  (0.9767, 0.6389)
  [14]  (0.9898, 0.6629)
  [15]  (0.9550, 0.6719)
  [16]  (0.9202, 0.6808)
  [17]  (0.8876, 0.6842)
  [18]  (0.8691, 0.6533)
  [19]  (0.8971, 0.6351)
  [20]  (0.9287, 0.6179)
  [21]  (0.9640, 0.6165)
  [22]  (1.0000, 0.6176)
  [23]  (0.9757, 0.6322)
  [24]  (0.9533, 0.7773)
  [25]  (0.8824, 0.7909)
  [26]  (0.8097, 0.7926)
  [27]  (0.7401, 0.7856)
  [28]  (0.7409, 0.7313)
  [29]  (0.7804, 0.6704)
  [30]  (0.8181, 0.6082)
  [31]  (0.8046, 0.5383)
  [32]  (0.7554, 0.4968)
  [33]  (0.6857, 0.4976)
  [34]  (0.6152, 0.5152)
  [35]  (0.5447, 0.5328)
  [36]  (0.9533, 0.3073)
  [37]  (0.8596, 0.3269)
  [38]  (0.7656, 0.3437)
  [39]  (0.6699, 0.3459)
  [40]  (0.5742, 0.3482)
  [41]  (0.4785, 0.3504)
  [42]  (0.3828, 0.3527)
  [43]  (0.2871, 0.3538)
  [44]  (0.1914, 0.3510)
  [45]  (0.0957, 0.3483)
  [46]  (0.0000, 0.3456)
  [47]  (0.0346, 0.3299)
  [48]  (0.9533, 0.1968)
  [49]  (0.8842, 0.1995)
  [50]  (0.8151, 0.2022)
  [51]  (0.7460, 0.2043)
  [52]  (0.6768, 0.2017)
  [53]  (0.6077, 0.1990)
  [54]  (0.5386, 0.1964)
  [55]  (0.4694, 0.1938)
  [56]  (0.4003, 0.1911)
  [57]  (0.3312, 0.1885)
  [58]  (0.2621, 0.1841)
  [59]  (0.1931, 0.1796)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.5052, 0.8204)  angle=63.6 deg
  V1  (0.4839, 0.7923)  angle=38.9 deg
  V2  (0.4953, 0.4755)  angle=104.7 deg
  V3  (0.9533, 0.6115)  angle=32.9 deg
  V4  (0.9898, 0.6629)  angle=104.1 deg
  V5  (0.8876, 0.6842)  angle=65.0 deg
  V6  (0.8691, 0.6533)  angle=87.9 deg
  V7  (1.0000, 0.6176)  angle=147.4 deg
  V8  (0.9757, 0.6322)  angle=50.4 deg
  V9  (0.9533, 0.7773)  angle=70.4 deg
  V10  (0.7401, 0.7856)  angle=85.2 deg
  V11  (0.7409, 0.7313)  angle=32.0 deg
  V12  (0.8181, 0.6082)  angle=42.1 deg
  V13  (0.8046, 0.5383)  angle=39.0 deg
  V14  (0.7554, 0.4968)  angle=40.7 deg
  V15  (0.5447, 0.5328)  angle=165.1 deg
  V16  (0.9533, 0.3073)  angle=163.0 deg
  V17  (0.0000, 0.3456)  angle=154.0 deg
  V18  (0.9533, 0.1968)  angle=174.0 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
    }
),
