feat(note): page background templates (rnote-style)

A blank note can show a page-background template painted behind the
ink, picked from the toolbar and persisted per notebook.

- NoteBackground: blank / dots / ruled / grid / cornell, drawn in
  page space (scales with zoom), subtle grey. Cornell = left margin +
  bottom summary rule over a ruled body.
- Stored as the enum name in the notebook sidecar (back-compat:
  missing/unknown -> blank), saved/loaded via SidecarRepository so it
  restores on reopen.
- Picker added to the note tool palette.

PDF backgrounds skipped (PDFs have their own page content). analyze
clean, 386 tests green.

lib/editor/canvas/note_background.dart

@@ -0,0 +1,160 @@
+// lib/editor/canvas/note_background.dart
+//
+// rnote-style page background TEMPLATES for the blank-note editor. A background
+// is a repeating PATTERN painted in the note page's local pixel space (the
+// `pageWidget` is sized to the page rect inside the InteractiveViewer, so a
+// CustomPainter here scales 1:1 with zoom — no extra transform needed).
+//
+// The choice is per-notebook and persists in the sidecar (stored as the enum
+// `name`; missing/unknown → [NoteBackground.blank] for back-compat).
+
+import 'package:flutter/material.dart';
+
+/// The available page-background templates (rnote: blank + dots/lines/grid +
+/// the Cornell note layout).
+enum NoteBackground {
+  /// Plain white sheet, no pattern.
+  blank,
+
+  /// A regular grid of small dots (dotted paper).
+  dots,
+
+  /// Evenly spaced horizontal lines (ruled / lined paper).
+  ruled,
+
+  /// Square grid (graph paper).
+  grid,
+
+  /// Cornell layout: a left cue-column line + a bottom summary line over a
+  /// ruled note-taking body.
+  cornell,
+}
+
+/// Decode a persisted background name (the enum [NoteBackground.name]); unknown
+/// or missing values fall back to [NoteBackground.blank] (back-compat).
+NoteBackground noteBackgroundFromName(String? name) {
+  for (final b in NoteBackground.values) {
+    if (b.name == name) return b;
+  }
+  return NoteBackground.blank;
+}
+
+/// Localized-ish English display label for the picker menu.
+String noteBackgroundLabel(NoteBackground b) {
+  switch (b) {
+    case NoteBackground.blank:
+      return 'Blank';
+    case NoteBackground.dots:
+      return 'Dots';
+    case NoteBackground.ruled:
+      return 'Ruled lines';
+    case NoteBackground.grid:
+      return 'Grid';
+    case NoteBackground.cornell:
+      return 'Cornell';
+  }
+}
+
+/// An icon for the picker menu.
+IconData noteBackgroundIcon(NoteBackground b) {
+  switch (b) {
+    case NoteBackground.blank:
+      return Icons.crop_portrait;
+    case NoteBackground.dots:
+      return Icons.grain;
+    case NoteBackground.ruled:
+      return Icons.notes;
+    case NoteBackground.grid:
+      return Icons.grid_4x4;
+    case NoteBackground.cornell:
+      return Icons.view_quilt_outlined;
+  }
+}
+
+/// Paints a [NoteBackground] template behind the ink, in the page's local pixel
+/// space. Spacing is page-relative (a fraction of page width) so the template
+/// looks the same on any logical page size, and the lines are a light, subtle
+/// grey so they sit behind handwriting.
+class NoteBackgroundPainter extends CustomPainter {
+  const NoteBackgroundPainter(this.background);
+
+  final NoteBackground background;
+
+  /// Pattern spacing as a fraction of the page WIDTH — a ~28-line page.
+  static const double _spacingFraction = 1 / 28;
+
+  static const Color _lineColor = Color(0x1A000000); // ~10% black, subtle grey.
+  static const Color _dotColor = Color(0x33000000); // dots a touch darker.
+  static const Color _accentColor = Color(0x33335C81); // Cornell margin lines.
+
+  @override
+  void paint(Canvas canvas, Size size) {
+    if (background == NoteBackground.blank) return;
+    final spacing = size.width * _spacingFraction;
+    if (spacing <= 0) return;
+
+    switch (background) {
+      case NoteBackground.blank:
+        break;
+      case NoteBackground.dots:
+        _paintDots(canvas, size, spacing);
+      case NoteBackground.ruled:
+        _paintRuled(canvas, size, spacing);
+      case NoteBackground.grid:
+        _paintGrid(canvas, size, spacing);
+      case NoteBackground.cornell:
+        _paintCornell(canvas, size, spacing);
+    }
+  }
+
+  void _paintDots(Canvas canvas, Size size, double spacing) {
+    final paint = Paint()
+      ..color = _dotColor
+      ..style = PaintingStyle.fill;
+    final r = (spacing * 0.06).clamp(0.6, 2.0);
+    for (double y = spacing; y < size.height; y += spacing) {
+      for (double x = spacing; x < size.width; x += spacing) {
+        canvas.drawCircle(Offset(x, y), r, paint);
+      }
+    }
+  }
+
+  void _paintRuled(Canvas canvas, Size size, double spacing) {
+    final paint = Paint()
+      ..color = _lineColor
+      ..strokeWidth = 1.0;
+    for (double y = spacing; y < size.height; y += spacing) {
+      canvas.drawLine(Offset(0, y), Offset(size.width, y), paint);
+    }
+  }
+
+  void _paintGrid(Canvas canvas, Size size, double spacing) {
+    final paint = Paint()
+      ..color = _lineColor
+      ..strokeWidth = 1.0;
+    for (double y = spacing; y < size.height; y += spacing) {
+      canvas.drawLine(Offset(0, y), Offset(size.width, y), paint);
+    }
+    for (double x = spacing; x < size.width; x += spacing) {
+      canvas.drawLine(Offset(x, 0), Offset(x, size.height), paint);
+    }
+  }
+
+  void _paintCornell(Canvas canvas, Size size, double spacing) {
+    // Ruled body lines.
+    _paintRuled(canvas, size, spacing);
+    final accent = Paint()
+      ..color = _accentColor
+      ..strokeWidth = 1.4;
+    // Left cue-column vertical line (~25% of width).
+    final cueX = size.width * 0.25;
+    // Bottom summary horizontal line (~80% down).
+    final summaryY = size.height * 0.80;
+    canvas.drawLine(Offset(cueX, 0), Offset(cueX, summaryY), accent);
+    canvas.drawLine(Offset(0, summaryY), Offset(size.width, summaryY), accent);
+  }
+
+  @override
+  bool shouldRepaint(covariant NoteBackgroundPainter oldDelegate) =>
+      oldDelegate.background != background;
+}

lib/editor/canvas/pen_note_screen.dart

@@ -24,6 +24,7 @@ import '../layout/viewport_fit.dart';
 import '../notebook/ink_stroke_adapter.dart';
 import '../ui/pen_settings_page.dart';
 import 'editor_tool.dart';
+import 'note_background.dart';
 import 'pen_canvas.dart';
 import 'pen_palette_widgets.dart';
 import 'pen_stroke.dart';
@@ -83,6 +84,10 @@ class _PenNoteScreenState extends ConsumerState<PenNoteScreen> {
   /// The active drawing color (the active brush's remembered color).
   Color get _color => _brushColors[_activeColorBrush] ?? Colors.black;
 
+  /// The page-background template painted behind the ink (rnote-style). Default
+  /// blank; persisted per-notebook in the sidecar.
+  NoteBackground _background = NoteBackground.blank;
+
   bool _allowFingerDrawing = false;
   bool _dirty = false;
   bool _needsCenter = true;
@@ -151,6 +156,7 @@ class _PenNoteScreenState extends ConsumerState<PenNoteScreen> {
       if (title != null && title.isNotEmpty) {
         _titleController.text = title;
       }
+      _background = noteBackgroundFromName(repo.loadedBackground);
     });
   }
 
@@ -288,6 +294,7 @@ class _PenNoteScreenState extends ConsumerState<PenNoteScreen> {
       for (final s in _strokes) EditorStroke.fromPenStroke(s),
     ];
     repo.scheduleTitleSave(title);
+    repo.scheduleBackgroundSave(_background.name);
     repo.scheduleStrokeSave(_notePageIndex, editorStrokes);
     await repo.flush();
 
@@ -475,8 +482,10 @@ class _PenNoteScreenState extends ConsumerState<PenNoteScreen> {
           allowFingerDrawing: _allowFingerDrawing,
           onStrokeComplete: _commitStroke,
           onEraseStroke: _eraseStroke,
-          // A white sheet with a soft shadow — the note "paper".
-          pageWidget: Container(
+          // A white sheet with a soft shadow — the note "paper" — overlaid with
+          // the selected background template, painted in page-pixel space (so it
+          // scales with zoom) and BEHIND the ink layers.
+          pageWidget: DecoratedBox(
             decoration: BoxDecoration(
               color: Colors.white,
               boxShadow: [
@@ -487,6 +496,10 @@ class _PenNoteScreenState extends ConsumerState<PenNoteScreen> {
                 ),
               ],
             ),
+            child: CustomPaint(
+              painter: NoteBackgroundPainter(_background),
+              size: Size.infinite,
+            ),
           ),
         );
       },
@@ -570,6 +583,55 @@ class _PenNoteScreenState extends ConsumerState<PenNoteScreen> {
             PaletteDivider(cs: cs),
             for (final c in _palette) _colorDot(c, cs),
             PaletteDivider(cs: cs),
+            // Page-background template picker (rnote-style: blank / dots / ruled
+            // / grid / cornell). Persists per-notebook in the sidecar.
+            PopupMenuButton<NoteBackground>(
+              tooltip: 'Page background',
+              initialValue: _background,
+              onSelected: (b) {
+                setState(() {
+                  _background = b;
+                  _dirty = true;
+                });
+              },
+              itemBuilder: (context) => [
+                for (final b in NoteBackground.values)
+                  PopupMenuItem<NoteBackground>(
+                    value: b,
+                    child: Row(
+                      mainAxisSize: MainAxisSize.min,
+                      children: [
+                        Icon(noteBackgroundIcon(b), size: 20),
+                        const SizedBox(width: 10),
+                        Text(noteBackgroundLabel(b)),
+                        if (b == _background) ...[
+                          const SizedBox(width: 8),
+                          Icon(Icons.check, size: 18, color: cs.primary),
+                        ],
+                      ],
+                    ),
+                  ),
+              ],
+              child: Padding(
+                padding: const EdgeInsets.symmetric(horizontal: 6, vertical: 8),
+                child: Row(
+                  mainAxisSize: MainAxisSize.min,
+                  children: [
+                    Icon(
+                      noteBackgroundIcon(_background),
+                      size: 22,
+                      color: cs.onSurfaceVariant,
+                    ),
+                    Icon(
+                      Icons.arrow_drop_down,
+                      size: 18,
+                      color: cs.onSurfaceVariant,
+                    ),
+                  ],
+                ),
+              ),
+            ),
+            PaletteDivider(cs: cs),
             ToolButton(
               icon: _allowFingerDrawing ? Icons.touch_app : Icons.do_not_touch,
               selected: _allowFingerDrawing,

lib/editor/persistence/sidecar_repository.dart

@@ -145,6 +145,10 @@ class SidecarRepository {
   /// The standalone-notebook title loaded from the sidecar, or null.
   String? get loadedTitle => _sidecar.title;
 
+  /// The page-background template name loaded from the sidecar, or null
+  /// (missing → blank, decoded by the editor).
+  String? get loadedBackground => _sidecar.background;
+
   // ── Mutations (synchronous in-memory update + debounced atomic write) ──────
 
   /// Replace the standalone-notebook title and schedule a save. No-op if the
@@ -154,6 +158,13 @@ class SidecarRepository {
     _replace(title: title);
   }
 
+  /// Replace the page-background template (a [NoteBackground] enum name) and
+  /// schedule a save. No-op if unchanged.
+  void scheduleBackgroundSave(String background) {
+    if (_sidecar.background == background) return;
+    _replace(background: background);
+  }
+
   /// Replace the handwriting-OCR search text and schedule a save (Phase 6
   /// search index). No-op if unchanged.
   void scheduleOcrTextSave(String? ocrText) {
@@ -266,6 +277,7 @@ class SidecarRepository {
     List<SidecarScratchLink>? scratchLinks,
     String? ocrText,
     bool clearOcrText = false,
+    String? background,
   }) {
     if (_disposed) return;
     _sidecar = BadnoteSidecar(
@@ -282,6 +294,7 @@ class SidecarRepository {
       bookmarks: _sidecar.bookmarks,
       scratchLinks: scratchLinks ?? _sidecar.scratchLinks,
       ocrText: clearOcrText ? null : (ocrText ?? _sidecar.ocrText),
+      background: background ?? _sidecar.background,
     );
     _timer?.cancel();
     _timer = Timer(_debounce, () {