=== SAVED CAST: manhattan_8_s51 ===
Normalized points: 60
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.8769, 0.7913)
  [ 1]  (0.7659, 0.7845)
  [ 2]  (0.6557, 0.7939)
  [ 3]  (0.5458, 0.8107)
  [ 4]  (0.4360, 0.8276)
  [ 5]  (0.3260, 0.8439)
  [ 6]  (0.2153, 0.8508)
  [ 7]  (0.1841, 0.7464)
  [ 8]  (0.1805, 0.6353)
  [ 9]  (0.1802, 0.5242)
  [10]  (0.1801, 0.4130)
  [11]  (0.1753, 0.3020)
  [12]  (0.8769, 0.5075)
  [13]  (0.9323, 0.5457)
  [14]  (0.9434, 0.6105)
  [15]  (0.8987, 0.6484)
  [16]  (0.8378, 0.6757)
  [17]  (0.7729, 0.6580)
  [18]  (0.7080, 0.6402)
  [19]  (0.7376, 0.5826)
  [20]  (0.8009, 0.5597)
  [21]  (0.8654, 0.5438)
  [22]  (0.9327, 0.5438)
  [23]  (1.0000, 0.5438)
  [24]  (0.8769, 0.8515)
  [25]  (0.7781, 0.8629)
  [26]  (0.6794, 0.8744)
  [27]  (0.5807, 0.8858)
  [28]  (0.4815, 0.8909)
  [29]  (0.4612, 0.8260)
  [30]  (0.4794, 0.7284)
  [31]  (0.4886, 0.6295)
  [32]  (0.4821, 0.5309)
  [33]  (0.3829, 0.5309)
  [34]  (0.2876, 0.5575)
  [35]  (0.1948, 0.5921)
  [36]  (0.8769, 0.2884)
  [37]  (0.7971, 0.2883)
  [38]  (0.7174, 0.2881)
  [39]  (0.6377, 0.2875)
  [40]  (0.5580, 0.2869)
  [41]  (0.4783, 0.2862)
  [42]  (0.3986, 0.2856)
  [43]  (0.3189, 0.2850)
  [44]  (0.2391, 0.2848)
  [45]  (0.1594, 0.2850)
  [46]  (0.0797, 0.2851)
  [47]  (0.0000, 0.2853)
  [48]  (0.8769, 0.1274)
  [49]  (0.8008, 0.1241)
  [50]  (0.7246, 0.1219)
  [51]  (0.6485, 0.1208)
  [52]  (0.5723, 0.1198)
  [53]  (0.4962, 0.1187)
  [54]  (0.4200, 0.1176)
  [55]  (0.3438, 0.1166)
  [56]  (0.2677, 0.1154)
  [57]  (0.1915, 0.1133)
  [58]  (0.1154, 0.1112)
  [59]  (0.0393, 0.1091)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.2153, 0.8508)  angle=76.9 deg
  V1  (0.1753, 0.3020)  angle=108.8 deg
  V2  (0.9323, 0.5457)  angle=45.7 deg
  V3  (0.9434, 0.6105)  angle=59.4 deg
  V4  (0.8378, 0.6757)  angle=39.5 deg
  V5  (0.7080, 0.6402)  angle=101.9 deg
  V6  (0.7376, 0.5826)  angle=42.9 deg
  V7  (1.0000, 0.5438)  angle=111.8 deg
  V8  (0.8769, 0.8515)  angle=61.6 deg
  V9  (0.4815, 0.8909)  angle=75.6 deg
  V10  (0.4821, 0.5309)  angle=86.2 deg
  V11  (0.1948, 0.5921)  angle=176.5 deg
  V12  (0.8769, 0.2884)  angle=155.9 deg
  V13  (0.0000, 0.2853)  angle=169.9 deg
  V14  (0.8769, 0.1274)  angle=167.3 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
    }
),
