=== SAVED CAST: manhattan_3_s51 ===
Normalized points: 60
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.9770, 0.7112)
  [ 1]  (0.8872, 0.7188)
  [ 2]  (0.7974, 0.7264)
  [ 3]  (0.7079, 0.7361)
  [ 4]  (0.6191, 0.7508)
  [ 5]  (0.5302, 0.7655)
  [ 6]  (0.4413, 0.7803)
  [ 7]  (0.4105, 0.7346)
  [ 8]  (0.3986, 0.6458)
  [ 9]  (0.3779, 0.5583)
  [10]  (0.3538, 0.4715)
  [11]  (0.3405, 0.3825)
  [12]  (0.9770, 0.5458)
  [13]  (1.0000, 0.5681)
  [14]  (0.9888, 0.5940)
  [15]  (0.9709, 0.6205)
  [16]  (0.9416, 0.6229)
  [17]  (0.9098, 0.6196)
  [18]  (0.9005, 0.6022)
  [19]  (0.9137, 0.5741)
  [20]  (0.9440, 0.5636)
  [21]  (0.9739, 0.5719)
  [22]  (0.9844, 0.5822)
  [23]  (0.9532, 0.5896)
  [24]  (0.9770, 0.7494)
  [25]  (0.9113, 0.7552)
  [26]  (0.8456, 0.7608)
  [27]  (0.7798, 0.7572)
  [28]  (0.7645, 0.7211)
  [29]  (0.7724, 0.6558)
  [30]  (0.7761, 0.5900)
  [31]  (0.7800, 0.5241)
  [32]  (0.7449, 0.4742)
  [33]  (0.6790, 0.4753)
  [34]  (0.6143, 0.4816)
  [35]  (0.5551, 0.5105)
  [36]  (0.9770, 0.3415)
  [37]  (0.8881, 0.3427)
  [38]  (0.7993, 0.3427)
  [39]  (0.7105, 0.3427)
  [40]  (0.6217, 0.3426)
  [41]  (0.5329, 0.3425)
  [42]  (0.4441, 0.3415)
  [43]  (0.3552, 0.3403)
  [44]  (0.2664, 0.3391)
  [45]  (0.1776, 0.3378)
  [46]  (0.0888, 0.3366)
  [47]  (0.0000, 0.3354)
  [48]  (0.9770, 0.2408)
  [49]  (0.9229, 0.2408)
  [50]  (0.8689, 0.2407)
  [51]  (0.8148, 0.2406)
  [52]  (0.7608, 0.2406)
  [53]  (0.7068, 0.2379)
  [54]  (0.6529, 0.2350)
  [55]  (0.5989, 0.2321)
  [56]  (0.5450, 0.2293)
  [57]  (0.4910, 0.2264)
  [58]  (0.4370, 0.2236)
  [59]  (0.3831, 0.2197)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.4413, 0.7803)  angle=65.4 deg
  V1  (0.3405, 0.3825)  angle=112.9 deg
  V2  (1.0000, 0.5681)  angle=69.4 deg
  V3  (0.9709, 0.6205)  angle=51.4 deg
  V4  (0.9098, 0.6196)  angle=56.2 deg
  V5  (0.9005, 0.6022)  angle=53.0 deg
  V6  (0.9137, 0.5741)  angle=45.8 deg
  V7  (0.9440, 0.5636)  angle=34.5 deg
  V8  (0.9844, 0.5822)  angle=122.3 deg
  V9  (0.9532, 0.5896)  angle=85.1 deg
  V10  (0.9770, 0.7494)  angle=93.4 deg
  V11  (0.7798, 0.7572)  angle=63.9 deg
  V12  (0.7800, 0.5241)  angle=38.5 deg
  V13  (0.7449, 0.4742)  angle=55.9 deg
  V14  (0.5551, 0.5105)  angle=175.8 deg
  V15  (0.9770, 0.3415)  angle=159.0 deg
  V16  (0.0000, 0.3354)  angle=173.7 deg
  V17  (0.9770, 0.2408)  angle=174.4 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
    }
),
