=== SAVED CAST: manhattan_4_s51 ===
Normalized points: 60
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.9715, 0.7697)
  [ 1]  (0.8874, 0.7844)
  [ 2]  (0.8025, 0.7940)
  [ 3]  (0.7174, 0.8023)
  [ 4]  (0.6323, 0.8105)
  [ 5]  (0.5528, 0.8112)
  [ 6]  (0.5466, 0.7262)
  [ 7]  (0.5466, 0.6407)
  [ 8]  (0.5470, 0.5552)
  [ 9]  (0.5478, 0.4698)
  [10]  (0.5487, 0.3843)
  [11]  (0.5514, 0.2989)
  [12]  (0.9715, 0.6095)
  [13]  (0.9904, 0.6383)
  [14]  (0.9847, 0.6603)
  [15]  (0.9536, 0.6751)
  [16]  (0.9239, 0.6785)
  [17]  (0.8975, 0.6564)
  [18]  (0.8826, 0.6330)
  [19]  (0.9032, 0.6054)
  [20]  (0.9239, 0.5778)
  [21]  (0.9528, 0.5674)
  [22]  (0.9872, 0.5684)
  [23]  (1.0000, 0.5825)
  [24]  (0.9715, 0.7841)
  [25]  (0.9129, 0.7906)
  [26]  (0.8541, 0.7878)
  [27]  (0.7953, 0.7827)
  [28]  (0.7819, 0.7427)
  [29]  (0.8105, 0.6912)
  [30]  (0.8371, 0.6385)
  [31]  (0.8631, 0.5855)
  [32]  (0.8369, 0.5365)
  [33]  (0.7955, 0.5008)
  [34]  (0.7369, 0.4936)
  [35]  (0.6813, 0.5010)
  [36]  (0.9715, 0.2653)
  [37]  (0.8834, 0.2724)
  [38]  (0.7952, 0.2794)
  [39]  (0.7070, 0.2865)
  [40]  (0.6187, 0.2901)
  [41]  (0.5303, 0.2938)
  [42]  (0.4419, 0.2975)
  [43]  (0.3536, 0.3012)
  [44]  (0.2652, 0.3049)
  [45]  (0.1768, 0.3086)
  [46]  (0.0884, 0.3091)
  [47]  (0.0000, 0.3067)
  [48]  (0.9715, 0.2081)
  [49]  (0.8981, 0.2083)
  [50]  (0.8246, 0.2084)
  [51]  (0.7511, 0.2085)
  [52]  (0.6777, 0.2086)
  [53]  (0.6042, 0.2088)
  [54]  (0.5307, 0.2089)
  [55]  (0.4573, 0.2072)
  [56]  (0.3839, 0.2048)
  [57]  (0.3105, 0.2024)
  [58]  (0.2370, 0.2000)
  [59]  (0.2000, 0.1888)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.5528, 0.8112)  angle=86.3 deg
  V1  (0.5514, 0.2989)  angle=124.6 deg
  V2  (0.9904, 0.6383)  angle=48.0 deg
  V3  (0.9847, 0.6603)  angle=49.7 deg
  V4  (0.9239, 0.6785)  angle=46.2 deg
  V5  (0.8826, 0.6330)  angle=69.2 deg
  V6  (0.9239, 0.5778)  angle=33.3 deg
  V7  (0.9872, 0.5684)  angle=46.0 deg
  V8  (1.0000, 0.5825)  angle=50.3 deg
  V9  (0.9715, 0.7841)  angle=75.6 deg
  V10  (0.7953, 0.7827)  angle=66.4 deg
  V11  (0.7819, 0.7427)  angle=47.7 deg
  V12  (0.8631, 0.5855)  angle=54.1 deg
  V13  (0.7955, 0.5008)  angle=33.8 deg
  V14  (0.6813, 0.5010)  angle=148.5 deg
  V15  (0.9715, 0.2653)  angle=145.5 deg
  V16  (0.0000, 0.3067)  angle=172.7 deg
  V17  (0.9715, 0.2081)  angle=174.3 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
    }
),
