diff --git a/guess.c b/guess.c
index a59e54e..949641a 100644
--- a/guess.c
+++ b/guess.c
@@ -411,20 +411,45 @@ static game_ui *new_ui(const game_state *state)
 {
     game_ui *ui = snew(game_ui);
     memset(ui, 0, sizeof(game_ui));
-    ui->params = state->params;        /* structure copy */
-    ui->curr_pegs = new_pegrow(state->params.npegs);
-    ui->holds = snewn(state->params.npegs, bool);
+    if (state != NULL) {
+        ui->params = state->params;        /* structure copy */
+        ui->curr_pegs = new_pegrow(state->params.npegs);
+        ui->holds = snewn(state->params.npegs, bool);
+        memset(ui->holds, 0, sizeof(bool)*state->params.npegs);
+    }
     ui->display_cur = getenv_bool("PUZZLES_SHOW_CURSOR", false);
-    memset(ui->holds, 0, sizeof(bool)*state->params.npegs);
     ui->drag_opeg = -1;
     return ui;
 }
 
+static config_item *get_prefs(game_ui *ui)
+{
+    config_item *ret;
+
+    ret = snewn(2, config_item);
+
+    ret[0].name = "Label colours with numbers";
+    ret[0].kw = "show-labels";
+    ret[0].type = C_BOOLEAN;
+    ret[0].u.boolean.bval = ui->show_labels;
+
+    ret[1].name = NULL;
+    ret[1].type = C_END;
+
+    return ret;
+}
+
+static void set_prefs(game_ui *ui, const config_item *cfg)
+{
+    ui->show_labels = cfg[0].u.boolean.bval;
+}
+
 static void free_ui(game_ui *ui)
 {
     if (ui->hint)
         free_pegrow(ui->hint);
-    free_pegrow(ui->curr_pegs);
+    if (ui->curr_pegs)
+        free_pegrow(ui->curr_pegs);
     sfree(ui->holds);
     sfree(ui);
 }
@@ -1518,7 +1543,7 @@ const struct game thegame = {
     free_game,
     true, solve_game,
     false, NULL, NULL, /* can_format_as_text_now, text_format */
-    NULL, NULL, /* get_prefs, set_prefs */
+    get_prefs, set_prefs,
     new_ui,
     free_ui,
     encode_ui,
diff --git a/map.c b/map.c
index 966ab75..127db04 100644
--- a/map.c
+++ b/map.c
@@ -2337,7 +2337,7 @@ static config_item *get_prefs(game_ui *ui)
 {
     config_item *ret;
 
-    ret = snewn(2, config_item);
+    ret = snewn(3, config_item);
 
     ret[0].name = "Victory flash effect";
     ret[0].kw = "flash-type";
@@ -2346,8 +2346,13 @@ static config_item *get_prefs(game_ui *ui)
     ret[0].u.choices.choicekws = ":cyclic:each-white:all-white";
     ret[0].u.choices.selected = ui->flash_type;
 
-    ret[1].name = NULL;
-    ret[1].type = C_END;
+    ret[1].name = "Number regions";
+    ret[1].kw = "show-numbers";
+    ret[1].type = C_BOOLEAN;
+    ret[1].u.boolean.bval = ui->show_numbers;
+
+    ret[2].name = NULL;
+    ret[2].type = C_END;
 
     return ret;
 }
@@ -2355,6 +2360,7 @@ static config_item *get_prefs(game_ui *ui)
 static void set_prefs(game_ui *ui, const config_item *cfg)
 {
     ui->flash_type = cfg[0].u.choices.selected;
+    ui->show_numbers = cfg[1].u.boolean.bval;
 }
 
 static void free_ui(game_ui *ui)
diff --git a/puzzles.but b/puzzles.but
index 1e0ebb7..c427d7b 100644
--- a/puzzles.but
+++ b/puzzles.but
@@ -1443,6 +1443,13 @@ that, use one extra colour.
 this increases the search space (making things harder), and is turned on by
 default.
 
+\H{guess-prefs} \I{preferences, for Guess}Guess user preferences
+
+On platforms that support user preferences, the \q{Preferences} option
+on the \q{Game} menu will let you configure whether pegs are labelled
+with their numbers.  Unlike the \q{L} key, this will persist between
+games.
+
 
 \C{pegs} \i{Pegs}
 
@@ -2004,7 +2011,7 @@ Unreasonable puzzles may require guessing and backtracking.
 
 On platforms that support user preferences, the \q{Preferences} option
 on the \q{Game} menu will let you configure the style of the victory
-flash.
+flash and also whether the regions start out labelled with numbers.
 
 
 \C{loopy} \i{Loopy}
@@ -3288,6 +3295,13 @@ These parameters are available from the \q{Custom...} option on the
 
 \dd Controls the difficulty of the generated puzzle.
 
+\H{undead-prefs} \I{preferences, for Undead}Undead user preferences
+
+On platforms that support user preferences, the \q{Preferences} option
+on the \q{Game} menu will let you configure whether Undead uses letters
+or pictures to represent monsters.
+
+
 \C{unruly} \i{Unruly}
 
 \cfg{winhelp-topic}{games.unruly}
diff --git a/undead.c b/undead.c
index 74dbefc..4784754 100644
--- a/undead.c
+++ b/undead.c
@@ -1656,6 +1656,30 @@ static game_ui *new_ui(const game_state *state)
     return ui;
 }
 
+static config_item *get_prefs(game_ui *ui)
+{
+    config_item *ret;
+
+    ret = snewn(2, config_item);
+
+    ret[0].name = "Monster representation";
+    ret[0].kw = "monsters";
+    ret[0].type = C_CHOICES;
+    ret[0].u.choices.choicenames = ":Pictures:Letters";
+    ret[0].u.choices.choicekws = ":pictures:letters";
+    ret[0].u.choices.selected = ui->ascii;
+
+    ret[1].name = NULL;
+    ret[1].type = C_END;
+
+    return ret;
+}
+
+static void set_prefs(game_ui *ui, const config_item *cfg)
+{
+    ui->ascii = cfg[0].u.choices.selected;
+}
+
 static void free_ui(game_ui *ui) {
     sfree(ui);
     return;
@@ -2784,7 +2808,7 @@ const struct game thegame = {
     free_game,
     true, solve_game,
     true, game_can_format_as_text_now, game_text_format,
-    NULL, NULL, /* get_prefs, set_prefs */
+    get_prefs, set_prefs,
     new_ui,
     free_ui,
     NULL, /* encode_ui */