diff --git a/model/foldermodel.cpp b/model/foldermodel.cpp
index e2c1dd0..793b29e 100644
--- a/model/foldermodel.cpp
+++ b/model/foldermodel.cpp
@@ -946,6 +946,25 @@ void FolderModel::unpinSelection()
     m_pinnedSelection = QItemSelection();
 }
 
+// The cell a new folder or file should land on, in view coordinates. Consumed
+// by the next newFolder()/newTextFile(); (-1, -1) means "wherever it fits".
+void FolderModel::setNewDocumentPosition(int x, int y)
+{
+    m_newDocumentPos = QPoint(x, y);
+}
+
+// Hands the pending cell over to the drop position map, which places the file
+// on it as soon as the lister reports it.
+void FolderModel::rememberNewDocumentPosition(const QString &name)
+{
+    if (m_newDocumentPos.x() < 0 || m_newDocumentPos.y() < 0)
+        return;
+
+    m_dropTargetPositions.insert(name, m_newDocumentPos);
+    m_dropTargetPositionsCleanup->start();
+    m_newDocumentPos = QPoint(-1, -1);
+}
+
 void FolderModel::newFolder()
 {
     QString rootPath = rootItem().url().toString();
@@ -964,6 +983,8 @@ void FolderModel::newFolder()
 
     m_newDocumentUrl = QUrl(rootItem().url().toString() + "/" + newName);
 
+    rememberNewDocumentPosition(newName);
+
     auto job = KIO::mkdir(QUrl(rootItem().url().toString() + "/" + newName));
     job->start();
 }
@@ -986,6 +1007,8 @@ void FolderModel::newTextFile()
 
     m_newDocumentUrl = QUrl(rootItem().url().toString() + "/" + newName);
 
+    rememberNewDocumentPosition(newName);
+
     QFile file(m_newDocumentUrl.toLocalFile());
     if (file.open(QIODevice::WriteOnly | QIODevice::Text)) {
         QTextStream stream(&file);
@@ -1019,12 +1042,13 @@ void FolderModel::copy()
 
 void FolderModel::paste()
 {
+    // The clipboard has no mime data at all when nothing owns it.
     const QMimeData *mimeData = QApplication::clipboard()->mimeData();
     bool enable = false;
 
     // Update paste action
     if (QAction *paste = m_actionCollection.action(QStringLiteral("paste"))) {
-        QList<QUrl> urls = KUrlMimeData::urlsFromMimeData(mimeData);
+        QList<QUrl> urls = mimeData ? KUrlMimeData::urlsFromMimeData(mimeData) : QList<QUrl>();
         const QString &currentUrl = rootItem().url().toLocalFile();
 
         if (!urls.isEmpty()) {
@@ -1394,6 +1418,20 @@ void FolderModel::addItemDragImage(int row, int x, int y, int width, int height,
     m_dragImages.insert(row, dragImage);
 }
 
+// Moves an already grabbed snapshot to where the icon sits now. Returns false
+// when there is nothing stored for the row, so the caller can grab one.
+bool FolderModel::updateItemDragRect(int row, int x, int y, int width, int height)
+{
+    DragImage *image = m_dragImages.value(row);
+
+    if (!image)
+        return false;
+
+    image->rect = QRect(x, y, width, height);
+
+    return true;
+}
+
 void FolderModel::clearDragImages()
 {
     qDeleteAll(m_dragImages);
@@ -1448,7 +1486,6 @@ void FolderModel::drop(QQuickItem *target, QObject *dropEvent, int row)
 
     const int x = dropEvent->property("x").toInt();
     const int y = dropEvent->property("y").toInt();
-    const QPoint dropPos = {x, y};
 
     if (m_dragInProgress && row == -1) {
         if (mimeData->urls().isEmpty())
@@ -1456,10 +1493,9 @@ void FolderModel::drop(QQuickItem *target, QObject *dropEvent, int row)
 
         setSortMode(-1);
 
-        for (const auto &url : mimeData->urls()) {
-            m_dropTargetPositions.insert(url.fileName(), dropPos);
-        }
-
+        // The files are already here -- no rows will be inserted for them, so
+        // recording drop positions would only leave entries behind that move
+        // some later file of the same name to a stale place.
         emit move(x, y, mimeData->urls());
 
         return;
@@ -1843,7 +1879,10 @@ void FolderModel::onRowsInserted(const QModelIndex &parent, int first, int last)
         if (it != m_dropTargetPositions.end()) {
             const auto pos = it.value();
             m_dropTargetPositions.erase(it);
-            Q_EMIT move(pos.x(), pos.y(), {url});
+            // Queued: the views are still inside the insertion transaction, and
+            // repositioning the row from within it would reenter their models.
+            QMetaObject::invokeMethod(
+                this, [this, pos, url] { Q_EMIT move(pos.x(), pos.y(), {url}); }, Qt::QueuedConnection);
         }
 
         if (url == m_newDocumentUrl) {
@@ -2204,7 +2243,7 @@ void FolderModel::updateActions()
         bool enable = false;
 
         const QMimeData *mimeData = QApplication::clipboard()->mimeData();
-        QList<QUrl> urls = KUrlMimeData::urlsFromMimeData(mimeData);
+        QList<QUrl> urls = mimeData ? KUrlMimeData::urlsFromMimeData(mimeData) : QList<QUrl>();
 
         if (!urls.isEmpty()) {
             if (!rootItem().isNull()) {
@@ -2266,6 +2305,20 @@ void FolderModel::addDragImage(QDrag *drag, int x, int y)
 
     QRegion region;
 
+    // A row that is not selected any more has a stale image and stale geometry;
+    // compositing it would drag the wrong picture, or place it far off-cursor.
+    for (auto it = m_dragImages.begin(); it != m_dragImages.end();) {
+        if (!isSelected(it.key())) {
+            delete it.value();
+            it = m_dragImages.erase(it);
+        } else {
+            ++it;
+        }
+    }
+
+    if (m_dragImages.isEmpty())
+        return;
+
     foreach (DragImage *image, m_dragImages) {
         image->blank = isBlank(image->row);
         image->rect.translate(-m_dragHotSpotScrollOffset.x(), -m_dragHotSpotScrollOffset.y());
diff --git a/model/foldermodel.h b/model/foldermodel.h
index 28b3423..580f578 100644
--- a/model/foldermodel.h
+++ b/model/foldermodel.h
@@ -196,6 +196,7 @@ public:
     Q_INVOKABLE void pinSelection();
     Q_INVOKABLE void unpinSelection();
 
+    Q_INVOKABLE void setNewDocumentPosition(int x, int y);
     Q_INVOKABLE void newFolder();
     Q_INVOKABLE void newTextFile();
     Q_INVOKABLE void rename(int row, const QString &name);
@@ -210,6 +211,7 @@ public:
     Q_INVOKABLE void keyDeletePress();
 
     Q_INVOKABLE void setDragHotSpotScrollOffset(int x, int y);
+    Q_INVOKABLE bool updateItemDragRect(int row, int x, int y, int width, int height);
     Q_INVOKABLE void addItemDragImage(int row, int x, int y, int width, int height, const QVariant &image);
     Q_INVOKABLE void clearDragImages();
     Q_INVOKABLE void dragSelected(int x, int y);
@@ -294,6 +296,7 @@ private slots:
                             const QString &outputPath);
 
 private:
+    void rememberNewDocumentPosition(const QString &name);
     void invalidateIfComplete();
     void invalidateFilterIfComplete();
     void createActions();
@@ -316,6 +319,7 @@ private:
     QItemSelection m_pinnedSelection;
     QString m_url;
     QUrl m_newDocumentUrl;
+    QPoint m_newDocumentPos{-1, -1};
     QList<QUrl> m_needSelectUrls;
 
     Status m_status;
diff --git a/model/positioner.cpp b/model/positioner.cpp
index 441bcd9..b56426d 100644
--- a/model/positioner.cpp
+++ b/model/positioner.cpp
@@ -24,12 +24,14 @@
 #include <QTimer>
 
 #include <cstdlib>
+#include <utility>
 
 Positioner::Positioner(QObject *parent)
     : QAbstractItemModel(parent)
     , m_enabled(false)
     , m_folderModel(nullptr)
     , m_perStripe(0)
+    , m_stripes(0)
     , m_ignoreNextTransaction(false)
     , m_deferApplyPositions(false)
     , m_updatePositionsTimer(new QTimer(this))
@@ -117,6 +119,40 @@ void Positioner::setPerStripe(int perStripe)
     }
 }
 
+int Positioner::stripes() const
+{
+    return m_stripes;
+}
+
+void Positioner::setStripes(int stripes)
+{
+    if (m_stripes != stripes) {
+        m_stripes = stripes;
+
+        emit stripesChanged();
+
+        if (m_enabled && m_stripes > 0 && m_perStripe > 0 && !m_proxyToSource.isEmpty()) {
+            applyPositions();
+        }
+    }
+}
+
+// A cell is usable only while it is inside the grid the view currently has
+// room for; anything outside has to be reflowed or it would sit off-screen.
+bool Positioner::fitsGrid(int stripe, int pos) const
+{
+    if (stripe < 0 || pos < 0)
+        return false;
+
+    if (m_perStripe > 0 && pos >= m_perStripe)
+        return false;
+
+    if (m_stripes > 0 && stripe >= m_stripes)
+        return false;
+
+    return true;
+}
+
 QStringList Positioner::positions() const
 {
     return m_positions;
@@ -147,6 +183,15 @@ int Positioner::map(int row) const
     return row;
 }
 
+int Positioner::mapFromSource(int row) const
+{
+    if (m_enabled && m_folderModel) {
+        return m_sourceToProxy.value(row, -1);
+    }
+
+    return row;
+}
+
 int Positioner::nearestItem(int currentIndex, Qt::ArrowType direction)
 {
     if (!m_enabled || currentIndex >= rowCount()) {
@@ -307,8 +352,29 @@ QVariant Positioner::data(const QModelIndex &index, int role) const
         if (m_enabled) {
             if (m_proxyToSource.contains(index.row())) {
                 return m_folderModel->data(m_folderModel->index(m_proxyToSource.value(index.row()), 0), role);
-            } else if (role == FolderModel::BlankRole) {
+            }
+
+            // An empty cell still has to answer with the type the delegate
+            // expects, or every binding on it warns about an undefined value.
+            switch (role) {
+            case FolderModel::BlankRole:
                 return true;
+            case FolderModel::SelectedRole:
+            case FolderModel::IsDirRole:
+            case FolderModel::IsHiddenRole:
+            case FolderModel::IsLinkRole:
+            case FolderModel::IsDesktopFileRole:
+                return false;
+            case FolderModel::UrlRole:
+            case FolderModel::DisplayNameRole:
+            case FolderModel::FileNameRole:
+            case FolderModel::FileSizeRole:
+            case FolderModel::IconNameRole:
+            case FolderModel::ThumbnailRole:
+            case FolderModel::ModifiedRole:
+                return QString();
+            default:
+                break;
             }
         } else {
             return m_folderModel->data(m_folderModel->index(index.row(), 0), role);
@@ -411,8 +477,23 @@ void Positioner::move(const QVariantList &moves)
             /* find the next blank space
              * we won't be happy if we're moving two icons to the same place
              */
+            const int cells = (m_perStripe > 0 && m_stripes > 0) ? (m_perStripe * m_stripes) : 0;
+            int tried = 0;
+
             while ((!isBlank(to) && from != to) || toIndices.contains(to)) {
                 to++;
+
+                // Wrap inside the grid: an occupied cell at the far corner must
+                // not push the icon into a column the desktop cannot show.
+                if (cells > 0 && to >= cells) {
+                    to = 0;
+                }
+
+                if (cells > 0 && ++tried > cells) {
+                    // Every cell is taken; park it after the last one.
+                    to = lastRow() + 1;
+                    break;
+                }
             }
         }
 
@@ -460,22 +541,23 @@ void Positioner::updatePositions()
         positions.append(QString::number((1 + ((rowCount() - 1) / m_perStripe))));
         positions.append(QString::number(m_perStripe));
 
-        QHashIterator<int, int> it(m_proxyToSource);
+        // Sorted by cell so the stored layout is stable: an unchanged desktop
+        // must not produce a different string list every time.
+        QList<int> rows(m_proxyToSource.keys());
+        std::sort(rows.begin(), rows.end());
 
-        while (it.hasNext()) {
-            it.next();
-
-            const QString &name = m_folderModel->data(m_folderModel->index(it.value(), 0), FolderModel::UrlRole).toString();
+        for (int row : std::as_const(rows)) {
+            const QString &name = m_folderModel->data(m_folderModel->index(m_proxyToSource.value(row), 0), FolderModel::UrlRole).toString();
 
             if (name.isEmpty()) {
-                qDebug() << this << it.value() << "Source model doesn't know this index!";
+                qDebug() << this << m_proxyToSource.value(row) << "Source model doesn't know this index!";
 
                 return;
             }
 
             positions.append(name);
-            positions.append(QString::number(qMax(0, it.key() / m_perStripe)));
-            positions.append(QString::number(qMax(0, it.key() % m_perStripe)));
+            positions.append(QString::number(qMax(0, row / m_perStripe)));
+            positions.append(QString::number(qMax(0, row % m_perStripe)));
         }
     }
 
@@ -488,7 +570,7 @@ void Positioner::updatePositions()
 
 void Positioner::sourceStatusChanged()
 {
-    if (m_deferApplyPositions && m_folderModel->status() != FolderModel::Listing) {
+    if (m_folderModel->status() != FolderModel::Listing && (m_deferApplyPositions || m_positions.size() >= 5)) {
         applyPositions();
     }
 
@@ -501,6 +583,12 @@ void Positioner::sourceStatusChanged()
 void Positioner::sourceDataChanged(const QModelIndex &topLeft, const QModelIndex &bottomRight, const QVector<int> &roles)
 {
     if (m_enabled) {
+        // A rename keeps the icon where it is but changes the url the stored
+        // layout knows it by, so the records have to be rewritten.
+        if (roles.isEmpty() || roles.contains(FolderModel::UrlRole)) {
+            m_updatePositionsTimer->start();
+        }
+
         int start = topLeft.row();
         int end = bottomRight.row();
 
@@ -518,16 +606,24 @@ void Positioner::sourceDataChanged(const QModelIndex &topLeft, const QModelIndex
 
 void Positioner::sourceModelAboutToBeReset()
 {
-    emit beginResetModel();
+    beginResetModel();
 }
 
 void Positioner::sourceModelReset()
 {
     if (m_enabled) {
-        initMaps();
+        QHash<int, int> proxyToSource;
+        QHash<int, int> sourceToProxy;
+
+        if (computeMaps(&proxyToSource, &sourceToProxy)) {
+            m_proxyToSource = proxyToSource;
+            m_sourceToProxy = sourceToProxy;
+        } else {
+            initMaps();
+        }
     }
 
-    emit endResetModel();
+    endResetModel();
 }
 
 void Positioner::sourceRowsAboutToBeInserted(const QModelIndex &parent, int start, int end)
@@ -588,7 +684,6 @@ void Positioner::sourceRowsAboutToBeInserted(const QModelIndex &parent, int star
             m_ignoreNextTransaction = true;
         }
     } else {
-        emit beginInsertRows(parent, start, end);
         beginInsertRows(parent, start, end);
         m_beginInsertRowsCalled = true;
     }
@@ -643,7 +738,7 @@ void Positioner::sourceRowsAboutToBeRemoved(const QModelIndex &parent, int first
             m_ignoreNextTransaction = true;
         }
     } else {
-        emit beginRemoveRows(parent, first, last);
+        beginRemoveRows(parent, first, last);
     }
 }
 
@@ -710,8 +805,18 @@ void Positioner::sourceLayoutChanged(const QList<QPersistentModelIndex> &parents
 {
     Q_UNUSED(parents)
 
+    // A re-sort or re-filter renumbers the source rows; the icons stay on their
+    // cells, so remap by url instead of repacking the whole desktop.
     if (m_enabled) {
-        initMaps();
+        QHash<int, int> proxyToSource;
+        QHash<int, int> sourceToProxy;
+
+        if (computeMaps(&proxyToSource, &sourceToProxy)) {
+            m_proxyToSource = proxyToSource;
+            m_sourceToProxy = sourceToProxy;
+        } else {
+            initMaps();
+        }
     }
 
     emit layoutChanged(QList<QPersistentModelIndex>(), hint);
@@ -753,6 +858,8 @@ int Positioner::firstRow() const
     return -1;
 }
 
+// -1 when nothing is mapped, so that lastRow() + 1 is the first free cell and
+// the row count of an empty grid, rather than one phantom cell in both.
 int Positioner::lastRow() const
 {
     if (!m_proxyToSource.isEmpty()) {
@@ -761,7 +868,7 @@ int Positioner::lastRow() const
         return keys.last();
     }
 
-    return 0;
+    return -1;
 }
 
 int Positioner::firstFreeRow() const
@@ -789,7 +896,10 @@ void Positioner::applyPositions()
         return;
     }
 
-    if (m_positions.size() < 5) {
+    QHash<int, int> proxyToSource;
+    QHash<int, int> sourceToProxy;
+
+    if (!computeMaps(&proxyToSource, &sourceToProxy)) {
         // We were waiting for listing to complete before proxying source rows,
         // but we don't have positions to apply. Reset to populate.
         if (m_deferApplyPositions) {
@@ -800,110 +910,194 @@ void Positioner::applyPositions()
         return;
     }
 
-    beginResetModel();
+    // Resetting the model tears down every delegate -- and with them the rename
+    // editor -- so only do it when the cells actually move.
+    if (proxyToSource != m_proxyToSource) {
+        beginResetModel();
 
-    m_proxyToSource.clear();
-    m_sourceToProxy.clear();
+        m_proxyToSource = proxyToSource;
+        m_sourceToProxy = sourceToProxy;
+
+        endResetModel();
+    }
 
-    const QStringList &positions = m_positions.mid(2);
+    m_deferApplyPositions = false;
 
-    if (positions.count() % 3 != 0) {
-        return;
+    m_updatePositionsTimer->start();
+}
+
+// Works out which source row belongs in which cell from the stored positions,
+// without touching the live maps: the caller decides how to announce the change.
+bool Positioner::computeMaps(QHash<int, int> *proxyToSource, QHash<int, int> *sourceToProxy) const
+{
+    if (m_positions.size() < 5) {
+        return false;
     }
 
-    QHash<QString, int> sourceIndices;
+    const QStringList positions = m_positions.mid(2);
 
-    for (int i = 0; i < m_folderModel->rowCount(); ++i) {
-        sourceIndices.insert(m_folderModel->data(m_folderModel->index(i, 0), FolderModel::UrlRole).toString(), i);
+    if (positions.count() % 3 != 0) {
+        return false;
     }
 
-    QString name;
-    int stripe = -1;
-    int pos = -1;
-    int sourceIndex = -1;
-    int index = -1;
-    bool ok = false;
-    int offset = 0;
+    proxyToSource->clear();
+    sourceToProxy->clear();
 
-    // Restore positions for items that still fit.
-    for (int i = 0; i < positions.count() / 3; ++i) {
-        offset = i * 3;
-        pos = positions.at(offset + 2).toInt(&ok);
-        if (!ok) {
-            return;
+    auto lastCell = [](const QHash<int, int> &map) {
+        int last = -1;
+        for (auto it = map.cbegin(); it != map.cend(); ++it) {
+            last = qMax(last, it.key());
         }
+        return last;
+    };
 
-        if (pos <= m_perStripe) {
-            name = positions.at(offset);
-            stripe = positions.at(offset + 1).toInt(&ok);
-            if (!ok) {
-                return;
+    auto freeCell = [&lastCell](const QHash<int, int> &map) {
+        const int last = lastCell(map);
+        for (int i = 0; i <= last; ++i) {
+            if (!map.contains(i)) {
+                return i;
             }
+        }
+        return last + 1;
+    };
+
+    // The free cell closest to (stripe, pos), clamped into the grid: an icon that
+    // no longer fits stays near where it was instead of piling up in the corner.
+    auto nearestFree = [&](int stripe, int pos, const QHash<int, int> &map) {
+        if (m_perStripe <= 0 || m_stripes <= 0) {
+            return -1;
+        }
 
-            if (!sourceIndices.contains(name)) {
-                continue;
-            } else {
-                sourceIndex = sourceIndices.value(name);
-            }
+        stripe = qBound(0, stripe, m_stripes - 1);
+        pos = qBound(0, pos, m_perStripe - 1);
+
+        for (int radius = 0; radius < m_stripes + m_perStripe; ++radius) {
+            int best = -1;
+            int bestDistance = 0;
+
+            for (int ds = -radius; ds <= radius; ++ds) {
+                for (int dp = -radius; dp <= radius; ++dp) {
+                    if (qMax(qAbs(ds), qAbs(dp)) != radius) {
+                        continue;
+                    }
+
+                    const int s = stripe + ds;
+                    const int p = pos + dp;
 
-            index = (stripe * m_perStripe) + pos;
+                    if (s < 0 || p < 0 || s >= m_stripes || p >= m_perStripe) {
+                        continue;
+                    }
 
-            if (m_proxyToSource.contains(index)) {
-                continue;
+                    const int cell = (s * m_perStripe) + p;
+
+                    if (map.contains(cell)) {
+                        continue;
+                    }
+
+                    const int distance = (ds * ds) + (dp * dp);
+
+                    if (best == -1 || distance < bestDistance) {
+                        best = cell;
+                        bestDistance = distance;
+                    }
+                }
             }
 
-            updateMaps(index, sourceIndex);
-            sourceIndices.remove(name);
+            if (best != -1) {
+                return best;
+            }
         }
+
+        return -1;
+    };
+
+    auto place = [&](int cell, int sourceRow) {
+        proxyToSource->insert(cell, sourceRow);
+        sourceToProxy->insert(sourceRow, cell);
+    };
+
+    QHash<QString, int> sourceIndices;
+
+    for (int i = 0; i < m_folderModel->rowCount(); ++i) {
+        sourceIndices.insert(m_folderModel->data(m_folderModel->index(i, 0), FolderModel::UrlRole).toString(), i);
     }
 
-    // Find new positions for items that didn't fit.
+    // Records that no longer fit the current grid, with the cell they asked for.
+    struct Spill {
+        QString name;
+        int stripe;
+        int pos;
+    };
+    QVector<Spill> spilled;
+
     for (int i = 0; i < positions.count() / 3; ++i) {
-        offset = i * 3;
-        pos = positions.at(offset + 2).toInt(&ok);
+        const int offset = i * 3;
+        const QString name = positions.at(offset);
+
+        bool ok = false;
+        const int stripe = positions.at(offset + 1).toInt(&ok);
         if (!ok) {
-            return;
+            continue;
         }
 
-        if (pos > m_perStripe) {
-            name = positions.at(offset);
+        const int pos = positions.at(offset + 2).toInt(&ok);
+        if (!ok) {
+            continue;
+        }
 
-            if (!sourceIndices.contains(name)) {
-                continue;
-            } else {
-                sourceIndex = sourceIndices.take(name);
-            }
+        if (!sourceIndices.contains(name)) {
+            continue;
+        }
 
-            index = firstFreeRow();
+        if (!fitsGrid(stripe, pos)) {
+            spilled.append({name, stripe, pos});
+            continue;
+        }
 
-            if (index == -1) {
-                index = lastRow() + 1;
-            }
+        const int cell = (stripe * m_perStripe) + pos;
 
-            updateMaps(index, sourceIndex);
+        if (proxyToSource->contains(cell)) {
+            spilled.append({name, stripe, pos});
+            continue;
         }
-    }
 
-    QHashIterator<QString, int> it(sourceIndices);
+        place(cell, sourceIndices.take(name));
+    }
 
-    // Find positions for new source items we don't have records for.
-    while (it.hasNext()) {
-        it.next();
+    // Find new cells for the items that didn't fit, then for source items we
+    // have no record of at all.
+    for (const Spill &spill : std::as_const(spilled)) {
+        if (!sourceIndices.contains(spill.name)) {
+            continue;
+        }
 
-        index = firstFreeRow();
+        int cell = nearestFree(spill.stripe, spill.pos, *proxyToSource);
 
-        if (index == -1) {
-            index = lastRow() + 1;
+        if (cell < 0) {
+            cell = freeCell(*proxyToSource);
         }
 
-        updateMaps(index, it.value());
+        place(cell, sourceIndices.take(spill.name));
     }
 
-    endResetModel();
+    QStringList newNames = sourceIndices.keys();
+    std::sort(newNames.begin(), newNames.end());
 
-    m_deferApplyPositions = false;
+    for (const QString &name : std::as_const(newNames)) {
+        const int sourceRow = sourceIndices.value(name);
 
-    m_updatePositionsTimer->start();
+        // A renamed file has no record under its new url, but it is already on
+        // a cell and must stay there; only genuinely new items get a free cell.
+        int cell = m_sourceToProxy.value(sourceRow, -1);
+
+        if (cell < 0 || proxyToSource->contains(cell) || (m_perStripe > 0 && !fitsGrid(cell / m_perStripe, cell % m_perStripe))) {
+            cell = freeCell(*proxyToSource);
+        }
+
+        place(cell, sourceRow);
+    }
+
+    return true;
 }
 
 void Positioner::flushPendingChanges()
@@ -926,6 +1120,8 @@ void Positioner::flushPendingChanges()
 void Positioner::connectSignals(FolderModel *model)
 {
     connect(model, &QAbstractItemModel::dataChanged, this, &Positioner::sourceDataChanged, Qt::UniqueConnection);
+    connect(model, &QAbstractItemModel::modelAboutToBeReset, this, &Positioner::sourceModelAboutToBeReset, Qt::UniqueConnection);
+    connect(model, &QAbstractItemModel::modelReset, this, &Positioner::sourceModelReset, Qt::UniqueConnection);
     connect(model, &QAbstractItemModel::rowsAboutToBeInserted, this, &Positioner::sourceRowsAboutToBeInserted, Qt::UniqueConnection);
     connect(model, &QAbstractItemModel::rowsAboutToBeMoved, this, &Positioner::sourceRowsAboutToBeMoved, Qt::UniqueConnection);
     connect(model, &QAbstractItemModel::rowsAboutToBeRemoved, this, &Positioner::sourceRowsAboutToBeRemoved, Qt::UniqueConnection);
@@ -941,6 +1137,8 @@ void Positioner::connectSignals(FolderModel *model)
 void Positioner::disconnectSignals(FolderModel *model)
 {
     disconnect(model, &QAbstractItemModel::dataChanged, this, &Positioner::sourceDataChanged);
+    disconnect(model, &QAbstractItemModel::modelAboutToBeReset, this, &Positioner::sourceModelAboutToBeReset);
+    disconnect(model, &QAbstractItemModel::modelReset, this, &Positioner::sourceModelReset);
     disconnect(model, &QAbstractItemModel::rowsAboutToBeInserted, this, &Positioner::sourceRowsAboutToBeInserted);
     disconnect(model, &QAbstractItemModel::rowsAboutToBeMoved, this, &Positioner::sourceRowsAboutToBeMoved);
     disconnect(model, &QAbstractItemModel::rowsAboutToBeRemoved, this, &Positioner::sourceRowsAboutToBeRemoved);
diff --git a/model/positioner.h b/model/positioner.h
index 04d6924..bd47412 100644
--- a/model/positioner.h
+++ b/model/positioner.h
@@ -21,6 +21,7 @@
 #define POSITIONER_H
 
 #include <QAbstractItemModel>
+#include <QHash>
 
 class FolderModel;
 class QTimer;
@@ -30,6 +31,7 @@ class Positioner : public QAbstractItemModel
     Q_PROPERTY(bool enabled READ enabled WRITE setEnabled NOTIFY enabledChanged)
     Q_PROPERTY(FolderModel *folderModel READ folderModel WRITE setFolderModel NOTIFY folderModelChanged)
     Q_PROPERTY(int perStripe READ perStripe WRITE setPerStripe NOTIFY perStripeChanged)
+    Q_PROPERTY(int stripes READ stripes WRITE setStripes NOTIFY stripesChanged)
     Q_PROPERTY(QStringList positions READ positions WRITE setPositions NOTIFY positionsChanged)
 
 public:
@@ -45,10 +47,14 @@ public:
     int perStripe() const;
     void setPerStripe(int perStripe);
 
+    int stripes() const;
+    void setStripes(int stripes);
+
     QStringList positions() const;
     void setPositions(const QStringList &positions);
 
     Q_INVOKABLE int map(int row) const;
+    Q_INVOKABLE int mapFromSource(int row) const;
 
     Q_INVOKABLE int nearestItem(int currentIndex, Qt::ArrowType direction);
 
@@ -75,6 +81,7 @@ signals:
     void enabledChanged() const;
     void folderModelChanged() const;
     void perStripeChanged() const;
+    void stripesChanged() const;
     void positionsChanged() const;
 
 private slots:
@@ -99,6 +106,8 @@ private:
     int lastRow() const;
     int firstFreeRow() const;
     void applyPositions();
+    bool computeMaps(QHash<int, int> *proxyToSource, QHash<int, int> *sourceToProxy) const;
+    bool fitsGrid(int stripe, int pos) const;
     void flushPendingChanges();
     void connectSignals(FolderModel *model);
     void disconnectSignals(FolderModel *model);
@@ -107,6 +116,7 @@ private:
     FolderModel *m_folderModel;
 
     int m_perStripe;
+    int m_stripes;
 
     int m_lastRow;
 
diff --git a/qml/Desktop/Main.qml b/qml/Desktop/Main.qml
index 0f823f7..e77ec1d 100644
--- a/qml/Desktop/Main.qml
+++ b/qml/Desktop/Main.qml
@@ -22,6 +22,8 @@ import QtQuick.Controls 2.12
 import QtQuick.Layouts 1.12
 import QtQuick.Window 2.12
 
+import QtCore
+
 import Cutefish.FileManager 1.0 as FM
 import FishUI 1.0 as FishUI
 import "../"
@@ -32,10 +34,85 @@ Item {
     LayoutMirroring.enabled: Qt.application.layoutDirection === Qt.RightToLeft
     LayoutMirroring.childrenInherit: true
 
+    // Icon positions are stored per screen and per grid size, so switching
+    // resolution -- or icon size -- picks up the arrangement that belongs to it
+    // and switching back restores the previous one untouched.
+    readonly property string screenName: (typeof desktopView !== "undefined" && desktopView)
+                                         ? String(desktopView.screenName).replace(/[\/\\]/g, "_") : ""
+    readonly property string layoutKey: (_folderView.width > 0 && _folderView.height > 0)
+                                        ? "%1_%2x%3".arg(screenName).arg(_folderView.gridColumns).arg(_folderView.gridRows)
+                                        : ""
+
+    property bool restoringLayout: false
+
     GlobalSettings {
         id: globalSettings
     }
 
+    Settings {
+        id: layoutSettings
+        location: globalSettings.location
+        category: "DesktopIconLayout"
+    }
+
+    Timer {
+        id: saveLayoutTimer
+        interval: 500
+        onTriggered: rootItem.saveLayout()
+    }
+
+    onLayoutKeyChanged: loadLayout()
+
+    Component.onCompleted: loadLayout()
+
+    function loadLayout() {
+        if (!layoutKey)
+            return
+
+        restoringLayout = true
+
+        var raw = layoutSettings.value("layout." + layoutKey, "")
+
+        if (raw) {
+            try {
+                var stored = JSON.parse(raw)
+                if (stored instanceof Array && stored.length >= 5)
+                    _folderView.positioner.positions = stored
+            } catch (e) {
+                console.warn("Desktop: ignoring unreadable icon layout for", layoutKey, e)
+            }
+        }
+
+        restoringLayout = false
+
+        // Whatever we ended up with -- the stored layout, or the previous one
+        // reflowed into the new grid -- belongs to this profile from now on.
+        saveLayoutTimer.restart()
+    }
+
+    function saveLayout() {
+        if (!layoutKey || restoringLayout)
+            return
+
+        var positions = _folderView.positioner.positions
+
+        // Fewer than one full record means the folder has not been listed yet;
+        // saving that would wipe the layout of an empty desktop.
+        if (positions.length < 5)
+            return
+
+        layoutSettings.setValue("layout." + layoutKey, JSON.stringify(positions))
+    }
+
+    Connections {
+        target: _folderView.positioner
+
+        function onPositionsChanged() {
+            if (!rootItem.restoringLayout)
+                saveLayoutTimer.restart()
+        }
+    }
+
     FM.FolderModel {
         id: dirModel
         url: desktopPath()
@@ -44,14 +121,14 @@ Item {
         viewAdapter: viewAdapter
 
         onCurrentIndexChanged: {
-            _folderView.currentIndex = dirModel.currentIndex
+            _folderView.currentIndex = _folderView.positioner.mapFromSource(dirModel.currentIndex)
         }
     }
 
     FM.ItemViewAdapter {
         id: viewAdapter
         adapterView: _folderView
-        adapterModel: dirModel
+        adapterModel: _folderView.positioner
         adapterIconSize: 40
         adapterVisibleArea: Qt.rect(_folderView.contentX, _folderView.contentY,
                                     _folderView.contentWidth, _folderView.contentHeight)
@@ -82,7 +159,7 @@ Item {
         maximumIconSize: globalSettings.maximumIconSize
         minimumIconSize: 22
         focus: true
-        model: dirModel
+        model: _folderView.positioner
 
         ScrollBar.vertical.policy: ScrollBar.AlwaysOff
 
diff --git a/qml/FolderGridItem.qml b/qml/FolderGridItem.qml
index 3198848..02b7590 100644
--- a/qml/FolderGridItem.qml
+++ b/qml/FolderGridItem.qml
@@ -44,20 +44,28 @@ Item {
     // For desktop
     visible: GridView.view.isDesktopView ? !blank : true
 
-    onSelectedChanged: {
-        if (!GridView.view.isDesktopView)
+    onSelectedChanged: updateDragImage()
+    // blank and selected do not settle in the same order, so both have to ask.
+    onBlankChanged: updateDragImage()
+
+    // The drag pixmap is built from these snapshots, so one taken at the icon's
+    // old cell would drag the wrong picture at the wrong offset from the cursor.
+    onXChanged: updateDragImage()
+    onYChanged: updateDragImage()
+
+    function updateDragImage() {
+        if (!GridView.view.isDesktopView || !selected || blank)
             return
 
-        if (selected && !blank) {
-            control.grabToImage(function(result) {
-                dirModel.addItemDragImage(control.index,
-                                          control.x,
-                                          control.y,
-                                          control.width,
-                                          control.height,
-                                          result.image)
-            })
-        }
+        var row = GridView.view.positioner.map(control.index)
+        var x = control.x
+        var y = control.y
+        var width = control.width
+        var height = control.height
+
+        control.grabToImage(function(result) {
+            dirModel.addItemDragImage(row, x, y, width, height, result.image)
+        })
     }
 
     Rectangle {
diff --git a/qml/FolderGridView.qml b/qml/FolderGridView.qml
index 5a41d9a..15f5d9a 100644
--- a/qml/FolderGridView.qml
+++ b/qml/FolderGridView.qml
@@ -39,6 +39,18 @@ GridView {
     property alias positions: positioner.positions
     property alias positioner: positioner
 
+    // The cell grid the view has room for. cellWidth/cellHeight are stretched to
+    // fill exactly this many cells, so this is also what the positioner stores
+    // icon cells against.
+    readonly property int gridColumns: Math.max(1, Math.floor((width - leftMargin - rightMargin) / cellWidth))
+    readonly property int gridRows: Math.max(1, Math.floor((height - topMargin - bottomMargin) / cellHeight))
+    readonly property bool columnFlow: control.flow === GridView.FlowTopToBottom
+
+    // Where inside its cell the icon was grabbed, so a drop lands the icon under
+    // the cursor rather than offset by the grab point.
+    property int dragAnchorIndex: -1
+    property point dragGrabOffset: Qt.point(0, 0)
+
     property int verticalDropHitscanOffset: 0
 
     property int pressX: -1
@@ -73,11 +85,14 @@ GridView {
 
     onIconSizeChanged: {
         // 图标大小改变时需要重置状态，否则选中定位不准确
-        positioner.reset()
+        // 桌面有自己的位置记忆，重置会丢弃用户摆放的位置
+        if (!positioner.enabled)
+            positioner.reset()
     }
 
     onCountChanged: {
-        positioner.reset()
+        if (!positioner.enabled)
+            positioner.reset()
     }
 
     function effectiveNavDirection(flow, layoutDirection, direction) {
@@ -126,7 +141,7 @@ GridView {
 
     function rename() {
         if (control.currentIndex != -1) {
-            var renameAction = control.model.action("rename")
+            var renameAction = dirModel.action("rename")
             if (renameAction && !renameAction.enabled)
                 return
 
@@ -144,7 +159,12 @@ GridView {
         }
     }
 
-    function openContextMenu(modifiers) {
+    // x, y are the click that opened the menu, in view coordinates.
+    function openContextMenu(modifiers, x, y) {
+        // A new folder or file belongs on the cell that was right-clicked.
+        if (positioner.enabled)
+            dirModel.setNewDocumentPosition(x, y)
+
         if (control.useCustomContextMenu) {
             dirModel.prepareContextMenu()
             control.contextMenuRequested()
@@ -317,16 +337,99 @@ GridView {
         if (cachedRectangleSelection.length)
             control.currentIndex[0]
 
-        dirModel.updateSelection(cachedRectangleSelection, control.ctrlPressed)
+        dirModel.updateSelection(cachedRectangleSelection.map(function(index) {
+            return positioner.map(index)
+        }), control.ctrlPressed)
     }
 
     Positioner {
         id: positioner
-        enabled: true
+        // Only the desktop keeps icons in fixed cells; in the window the view
+        // stays a plain, always-packed grid.
+        enabled: control.isDesktopView
         folderModel: dirModel
-        perStripe: Math.floor(((control.flow == GridView.FlowLeftToRight)
-            ? control.width : control.height) / ((control.flow == GridView.FlowLeftToRight)
-            ? control.cellWidth : control.cellHeight))
+        perStripe: control.columnFlow ? control.gridRows : control.gridColumns
+        stripes: control.columnFlow ? control.gridColumns : control.gridRows
+    }
+
+    // Cell containing a point in content coordinates.
+    function cellAt(cx, cy) {
+        return clampCell(Math.floor(cx / control.cellWidth), Math.floor(cy / control.cellHeight))
+    }
+
+    // Cell an icon whose top left corner is at cx, cy snaps to: the nearest one,
+    // so half a cell of travel is enough to move it, the way a drag should feel.
+    function cellNear(cx, cy) {
+        return clampCell(Math.round(cx / control.cellWidth), Math.round(cy / control.cellHeight))
+    }
+
+    function clampCell(col, row) {
+        col = Math.max(0, Math.min(control.gridColumns - 1, col))
+        row = Math.max(0, Math.min(control.gridRows - 1, row))
+
+        if (control.effectiveLayoutDirection === Qt.RightToLeft)
+            col = control.gridColumns - 1 - col
+
+        return Qt.point(col, row)
+    }
+
+    function cellIndex(col, row) {
+        return control.columnFlow ? (col * control.gridRows) + row
+                                  : (row * control.gridColumns) + col
+    }
+
+    function cellOfIndex(index) {
+        return control.columnFlow ? Qt.point(Math.floor(index / control.gridRows), index % control.gridRows)
+                                  : Qt.point(index % control.gridColumns, Math.floor(index / control.gridColumns))
+    }
+
+    // A drop inside the view: pin the dropped icons to the cell under the cursor,
+    // keeping the relative arrangement of a multiple selection. anchorIndex is
+    // the cell the drag was started from, or -1 for a drop that comes from
+    // somewhere else -- those land on the cell under the cursor.
+    function moveToCell(x, y, urls, anchorIndex, grabOffset) {
+        if (!positioner.enabled)
+            return
+
+        // A drag that started on one of the icons keeps the selection's shape:
+        // every icon moves by the same number of cells as the grabbed one.
+        var anchor = anchorIndex >= 0 ? cellOfIndex(anchorIndex) : null
+        var grab = anchor ? grabOffset : Qt.point(0, 0)
+        var pos = mapToItem(control.contentItem, x, y)
+        // With an anchor the drag carries the icon itself, so snap the icon; a
+        // drop from elsewhere only has a cursor, which lands on the cell it is over.
+        var target = anchor ? cellNear(pos.x - grab.x, pos.y - grab.y) : cellAt(pos.x, pos.y)
+        var moves = []
+
+        for (var i = 0; i < urls.length; ++i) {
+            var from = positioner.indexForUrl(urls[i])
+
+            if (from === -1)
+                continue
+
+            var cell = cellOfIndex(from)
+            var col = anchor ? target.x + (cell.x - anchor.x) : target.x
+            var row = anchor ? target.y + (cell.y - anchor.y) : target.y
+
+            col = Math.max(0, Math.min(control.gridColumns - 1, col))
+            row = Math.max(0, Math.min(control.gridRows - 1, row))
+
+            moves.push(from)
+            moves.push(cellIndex(col, row))
+        }
+
+        if (moves.length)
+            positioner.move(moves)
+    }
+
+    Connections {
+        target: positioner.enabled ? dirModel : null
+
+        function onMove(x, y, urls) {
+            control.moveToCell(x, y, urls,
+                               dirModel.dragging ? control.dragAnchorIndex : -1,
+                               control.dragGrabOffset)
+        }
     }
 
     DragDrop.DropArea {
@@ -366,25 +469,25 @@ GridView {
 
                 // Shift 处理, 选择区域
                 if (control.shiftPressed && control.currentIndex !== -1) {
-                    dirModel.setRangeSelected(control.anchorIndex, hoveredItem.index)
+                    positioner.setRangeSelected(control.anchorIndex, hoveredItem.index)
                 } else {
                     // Ctrl 处理
-                    if (!control.ctrlPressed && !dirModel.isSelected(hoveredItem.index)) {
+                    if (!control.ctrlPressed && !dirModel.isSelected(positioner.map(hoveredItem.index))) {
                         dirModel.clearSelection()
                     }
 
                     // Item 选择
                     if (control.ctrlPressed) {
-                        dirModel.toggleSelected(hoveredItem.index)
+                        dirModel.toggleSelected(positioner.map(hoveredItem.index))
                     } else {
-                        dirModel.setSelected(hoveredItem.index)
+                        dirModel.setSelected(positioner.map(hoveredItem.index))
                     }
                 }
 
                 // 弹出 Item 菜单
                 if (mouse.buttons & Qt.RightButton) {
                     clearPressState()
-                    control.openContextMenu(mouse.modifiers)
+                    control.openContextMenu(mouse.modifiers, mouse.x, mouse.y)
                     mouse.accepted = true
                 }
             } else {
@@ -397,7 +500,7 @@ GridView {
                 // 弹出文件夹菜单
                 if (mouse.buttons & Qt.RightButton) {
                     clearPressState()
-                    control.openContextMenu(mouse.modifiers)
+                    control.openContextMenu(mouse.modifiers, mouse.x, mouse.y)
                     mouse.accepted = true
                 }
             }
@@ -461,10 +564,16 @@ GridView {
             }
 
             if (pressX != -1) {
-                if (pressedItem != null && dirModel.isSelected(pressedItem.index)) {
+                if (pressedItem != null && dirModel.isSelected(positioner.map(pressedItem.index))) {
                     control.dragX = mouse.x
                     control.dragY = mouse.y
                     control.verticalDropHitscanOffset = pressedItem.y + (pressedItem.height / 2)
+
+                    var grab = mapToItem(pressedItem, mouse.x, mouse.y)
+                    control.dragAnchorIndex = pressedItem.index
+                    control.dragGrabOffset = Qt.point(grab.x, grab.y)
+
+                    control.refreshDragImages()
                     dirModel.dragSelected(mouse.x, mouse.y)
                     control.dragX = -1
                     control.dragY = -1
@@ -496,7 +605,7 @@ GridView {
                     !control.ctrlPressed &&
                     !dirModel.dragging) {
                 dirModel.clearSelection()
-                dirModel.setSelected(pressedItem.index)
+                dirModel.setSelected(positioner.map(pressedItem.index))
             }
 
             dirModel.updateSelectedItemsSize()
@@ -518,6 +627,25 @@ GridView {
         }
     }
 
+    // The drag pixmap is assembled from snapshots the delegates take when they
+    // are selected. An icon that has since been moved to another cell still
+    // carries its old geometry, which would drag the picture far off the cursor,
+    // so re-sync every selected icon just before the drag starts.
+    function refreshDragImages() {
+        // The snapshots are in content coordinates, the drag cursor is not.
+        dirModel.setDragHotSpotScrollOffset(control.contentX, control.contentY)
+
+        for (var i = 0; i < control.count; ++i) {
+            var item = control.itemAtIndex(i)
+
+            if (!item || item.blank || !item.selected)
+                continue
+
+            if (!dirModel.updateItemDragRect(positioner.map(i), item.x, item.y, item.width, item.height))
+                item.updateDragImage()
+        }
+    }
+
     function clearPressState() {
         pressedItem = null
         pressX = -1
@@ -556,7 +684,7 @@ GridView {
                     break
                 }
 
-                if (dirModel.isBlank(index)) {
+                if (positioner.isBlank(index)) {
                     continue
                 }
 
@@ -635,10 +763,10 @@ GridView {
 
     function updateSelection(modifier) {
         if (modifier & Qt.ShiftModifier) {
-            dirModel.setRangeSelected(anchorIndex, currentIndex)
+            positioner.setRangeSelected(anchorIndex, currentIndex)
         } else {
             dirModel.clearSelection()
-            dirModel.setSelected(currentIndex)
+            dirModel.setSelected(positioner.map(currentIndex))
         }
     }
 
@@ -665,7 +793,7 @@ GridView {
                     y = pos.y - FishUI.Units.smallSpacing
                     text = targetItem.labelArea.text
                     targetItem.labelArea.visible = false
-                    _editor.select(0, dirModel.fileExtensionBoundary(targetItem.index))
+                    _editor.select(0, dirModel.fileExtensionBoundary(positioner.map(targetItem.index)))
                     visible = true
                 } else {
                     x = 0
@@ -700,7 +828,7 @@ GridView {
             function commit() {
                 if (targetItem) {
                     targetItem.labelArea.visible = true
-                    dirModel.rename(targetItem.index, text)
+                    dirModel.rename(positioner.map(targetItem.index), text)
                     control.currentIndex = targetItem.index
                     targetItem = null