fix(ui): address several layout and plotting glitches found during final test run

- Fixed column header labeling to respect active axes and avoid invalid index access
- Ensured 3D axes mode is correctly reset when switching back to 2D plots
- Adjusted DBV panel sizing and positioning to prevent edge clipping on wide screens
- Cleaned up equation input UI:
  - Restricted parametric options to FN1 mode where they actually apply
  - Hid incomplete / unused polar controls to avoid user confusion
  - Simplified equations header layout
- Updated default plot types for function and system plots to POINTS/POINTS3
  to avoid misleading line rendering in initial views
- Minor UI cleanup and comment adjustments after refactors

Result: more consistent UI behavior, fewer visual glitches, and clearer defaults
during interactive use.

Author: babaissarkar

src/main/java/com/babai/ssplot/math/plot/PlotData.java

@@ -283,12 +283,13 @@ private String formatStats(String colName, int i) {
 	public Vector<String> getHeaders() {
 		var headers = new Vector<String>();
 		var mappings = getDataColMapping();
+		var axes = getAxes();
 		for (int i = 0; i < getColumnCount(); i++) {
 			boolean isKnownColumn = false;
 			for (var entry : mappings.entrySet()) {
 				var lbl = getAxisLabel(i);
-				if (lbl.isPresent() || entry.getValue() == i) {
-					headers.add(lbl.orElse(entry.getKey().toString() + " Data"));
+				if (lbl.isPresent() || (entry.getValue() == i && i < axes.length)) {
+					headers.add(lbl.orElse(axes[i].toString() + " Data"));
 					isKnownColumn = true;
 					break;
 				}

src/main/java/com/babai/ssplot/math/plot/Plotter.java

@@ -84,6 +84,8 @@ private void plotData(PlotData pdata, int lastIndex) {
 		if (pdata.getColumnCount() == 3) {
 			canv.setAxes3d(true);
 			canv.setProjection(p);
+		} else {
+			canv.setAxes3d(false);
 		}
 		canv.setStroke(pdata.ptX);
 		var ptype = pdata.getPlotType();

src/main/java/com/babai/ssplot/ui/MainFrame.java

@@ -93,6 +93,7 @@ public MainFrame() {
 		// Initialize logger
 		logger = new StatLogger();
 		logger.log(Text.tag("h1", "Welcome to SSPlot!"));
+		logger.log(ABOUT_MSG);
 
 		var plt = new Plotter();
 		if (isDark) {
@@ -140,8 +141,8 @@ public MainFrame() {
 		int dbvWidth = Math.min(dbv.getWidth(),
 			screenBounds.width - odeinput.getWidth() - ifrmPlot.getWidth());
 		if (dbvWidth > Plotter.DEFAULT_W/2) {
-			dbv.setSize(new Dimension(dbvWidth, odeinput.getHeight()));
-			dbv.setLocation(screenBounds.width - dbvWidth, 0);
+			dbv.setSize(new Dimension(dbvWidth + 10, odeinput.getHeight()));
+			dbv.setLocation(screenBounds.width - dbvWidth - 10, 0);
 			dbv.setVisible(true);
 		} else {
 			dbv.setVisible(false);

src/main/java/com/babai/ssplot/ui/SystemInputFrame.java

@@ -163,6 +163,7 @@ private JToolBar createToolbar() {
 	private UIGrid createEqnInputUIPanel(final Axis[] axes) {
 		StateVar<Boolean> isODEorDFE = curMode.whenAny(List.of(SystemMode.DFE, SystemMode.ODE));
 		StateVar<Boolean> isFN = curMode.whenAny(List.of(SystemMode.FN1, SystemMode.FN2));
+		StateVar<Boolean> isFN1 = curMode.when(m -> m == SystemMode.FN1);
 
 		// Equations entry enable conditions
 		var eqnCondition = List.of(
@@ -184,26 +185,7 @@ private UIGrid createEqnInputUIPanel(final Axis[] axes) {
 			.insets(3)
 			.row()
 				.spanx(4)
-				.column(label("Equations").font(Text.headerFont))
-
-			.row()
-				.column(label("Parametric (x = x(t), y = y(t)):").visible(isFN))
-				.weightx(1)
-				.fill(GridBagConstraints.HORIZONTAL)
-				.column(
-					hbox(
-						checkBox().bindSelectionTo(isParametric)
-					).visible(isFN)
-				)
-
-			.row()
-				.column(label("Polar (r = r(θ)):").visible(isFN))
-				.weightx(1)
-				.fill(GridBagConstraints.HORIZONTAL)
-				.column(
-					hbox(
-						checkBox().bindSelectionTo(isPolar)
-					).visible(isFN));
+				.column(label("Equations").font(Text.headerFont));
 
 		for (int i = 0; i < axes.length; i++) {
 			final int idx = i;
@@ -225,7 +207,29 @@ private UIGrid createEqnInputUIPanel(final Axis[] axes) {
 				);
 		}
 
-		pnlEquations.row()
+		pnlEquations
+			.row()
+				.column(label("Parametric (x = x(t), ...):").visible(isFN1))
+				.weightx(1)
+				.fill(GridBagConstraints.HORIZONTAL)
+				.column(
+					hbox(
+						checkBox().bindSelectionTo(isParametric)
+					).visible(isFN1)
+				)
+	
+			.row()
+				.column(label("Polar (r = r(θ)):")
+//					.visible(isFN))
+					.visible(false))
+				.weightx(1)
+				.fill(GridBagConstraints.HORIZONTAL)
+				.column(
+					hbox(
+						checkBox().bindSelectionTo(isPolar)
+		//			).visible(isFN));
+					).visible(false))
+			.row()
 			.column(label("Solve At:").visible(isODEorDFE))
 			.weightx(1)
 			.fill(GridBagConstraints.HORIZONTAL)
@@ -402,17 +406,17 @@ public void setSystem(EquationSystem system) {
 		curMode.set(system.mode());
 	}
 
-	// TODO these methods sort of violate MVC, perhaps there should be some sort
-	// of controller class?
+	//
 	// Plotting functions : Calculates PlotData from EquationSystem
-
+	//
+	
 	private void plot2D() {
 		var system = getSystem();
 		var plotData = switch (curMode.get()) {
 			case FN1 -> plotFunction2D();
 			default -> plotTrajectory(system.solnPoint()[0], system.solnPoint()[1]);
 		};
-		plotData.setPlotType(PlotData.PlotType.LINES);
+		plotData.setPlotType(PlotData.PlotType.POINTS);
 		plotData.setAxes(Axis.Cartesian.X, Axis.Cartesian.Y);
 		plotData.setDataCols(0, 1);
 		updater.accept(plotData);
@@ -424,7 +428,7 @@ private void plot3D() {
 			case FN2 -> plotFunction3D();
 			default -> plotODE3D(system.solnPoint());
 		};
-		plotData.setPlotType(PlotData.PlotType.LINES3);
+		plotData.setPlotType(PlotData.PlotType.POINTS3);
 		plotData.setAxes(Axis.Cartesian.X, Axis.Cartesian.Y, Axis.Cartesian.Z);
 		plotData.setDataCols(0, 1, 2);
 		updater.accept(plotData);