diff --git a/loopy.c b/loopy.c
index bab5bf2..61a79c2 100644
--- a/loopy.c
+++ b/loopy.c
@@ -3295,7 +3295,7 @@ static void game_redraw_line(drawing *dr, game_drawstate *ds,
 	if (draw_faint_lines)
 	    draw_line(dr, x1, y1, x2, y2, line_colour);
     } else {
-	draw_thick_line(dr, 3.0,
+	draw_thick_line(dr, ds->tilesize*3/32.0,
 			x1 + 0.5, y1 + 0.5,
 			x2 + 0.5, y2 + 0.5,
 			line_colour);
@@ -3310,7 +3310,7 @@ static void game_redraw_dot(drawing *dr, game_drawstate *ds,
     int x, y;
 
     grid_to_screen(ds, g, d->x, d->y, &x, &y);
-    draw_circle(dr, x, y, 2, COL_FOREGROUND, COL_FOREGROUND);
+    draw_circle(dr, x, y, ds->tilesize*2/32.0, COL_FOREGROUND, COL_FOREGROUND);
 }
 
 static bool boxes_intersect(int x0, int y0, int w0, int h0,