=== SAVED CAST: p_4_s41 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.4644, 1.0000)
  [ 1]  (0.4659, 0.9611)
  [ 2]  (0.4674, 0.9221)
  [ 3]  (0.4713, 0.8834)
  [ 4]  (0.4761, 0.8448)
  [ 5]  (0.4809, 0.8061)
  [ 6]  (0.4861, 0.7675)
  [ 7]  (0.4934, 0.7292)
  [ 8]  (0.5007, 0.6910)
  [ 9]  (0.5069, 0.6525)
  [10]  (0.5107, 0.6138)
  [11]  (0.5156, 0.5751)
  [12]  (0.5201, 0.5365)
  [13]  (0.5220, 0.4976)
  [14]  (0.5207, 0.4588)
  [15]  (0.5160, 0.4201)
  [16]  (0.4644, 0.0000)
  [17]  (0.5065, 0.0112)
  [18]  (0.5317, 0.0459)
  [19]  (0.5532, 0.0828)
  [20]  (0.5464, 0.1258)
  [21]  (0.5388, 0.1685)
  [22]  (0.5200, 0.2078)
  [23]  (0.4863, 0.2249)
  [24]  (0.4431, 0.2266)
  [25]  (0.4141, 0.1941)
  [26]  (0.4119, 0.1524)
  [27]  (0.4309, 0.1160)
  [28]  (0.4608, 0.0843)
  [29]  (0.5010, 0.0681)
  [30]  (0.5446, 0.0676)
  [31]  (0.5881, 0.0669)
  [32]  (0.4644, 0.0524)
  [33]  (0.4696, 0.0952)
  [34]  (0.4749, 0.1381)
  [35]  (0.4783, 0.1811)
  [36]  (0.4783, 0.2243)
  [37]  (0.4783, 0.2675)
  [38]  (0.4783, 0.3106)
  [39]  (0.4776, 0.3538)
  [40]  (0.4730, 0.3967)
  [41]  (0.4684, 0.4397)
  [42]  (0.4639, 0.4826)
  [43]  (0.4584, 0.5254)
  [44]  (0.4513, 0.5680)
  [45]  (0.4442, 0.6106)
  [46]  (0.4438, 0.6538)
  [47]  (0.4438, 0.6970)
  [48]  (0.4644, 0.7662)
  [49]  (0.4890, 0.7786)
  [50]  (0.5131, 0.7914)
  [51]  (0.5266, 0.8153)
  [52]  (0.5401, 0.8392)
  [53]  (0.5536, 0.8632)
  [54]  (0.5482, 0.8876)
  [55]  (0.5359, 0.9121)
  [56]  (0.5161, 0.9245)
  [57]  (0.4886, 0.9245)
  [58]  (0.4658, 0.9142)
  [59]  (0.4478, 0.8934)
  [60]  (0.4302, 0.8725)
  [61]  (0.4302, 0.8451)
  [62]  (0.4451, 0.8237)
  [63]  (0.4644, 0.8042)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.4644, 0.0000)  angle=111.8 deg
  V1  (0.5065, 0.0112)  angle=39.3 deg
  V2  (0.5532, 0.0828)  angle=39.3 deg
  V3  (0.5200, 0.2078)  angle=37.6 deg
  V4  (0.4431, 0.2266)  angle=50.4 deg
  V5  (0.4141, 0.1941)  angle=38.8 deg
  V6  (0.4119, 0.1524)  angle=30.5 deg
  V7  (0.5881, 0.0669)  angle=172.3 deg
  V8  (0.4644, 0.0524)  angle=103.6 deg
  V9  (0.4644, 0.7662)  angle=46.8 deg
  V10  (0.5131, 0.7914)  angle=32.6 deg
  V11  (0.5536, 0.8632)  angle=41.9 deg
  V12  (0.5359, 0.9121)  angle=31.3 deg
  V13  (0.5161, 0.9245)  angle=32.0 deg
  V14  (0.4302, 0.8725)  angle=40.2 deg
  V15  (0.4302, 0.8451)  angle=34.9 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
    }
),
