diff --git a/game/scripts/main.gd b/game/scripts/main.gd
index 2f64871..39e6aed 100644
--- a/game/scripts/main.gd
+++ b/game/scripts/main.gd
@@ -62,6 +62,9 @@ var _joining := ""
 ## The host's accepted guests when _process last looked. A new one ends a
 ## pause.
 var _known_guests := 0
+## Tiles whose burst of chips the own figure showed when it hit them, until
+## the core reports that hit. Their burst is not shown a second time.
+var _own_hits: Dictionary[Vector2i, bool] = {}
 
 
 func _ready() -> void:
@@ -217,6 +220,7 @@ func _show_world() -> void:
 	hud.show_stone(session.item_count(GwSession.ITEM_STONE))
 	_update_status()
 	_next_dig_tick = 0
+	_own_hits.clear()
 
 
 ## Says in the status line how the game is shared, and with how many.
@@ -242,6 +246,7 @@ func _leave(message: String) -> void:
 	map_view.reload()
 	avatar.is_walkable = Callable()
 	figures.clear()
+	_own_hits.clear()
 	_show_menu(message)
 
 
@@ -403,12 +408,17 @@ func _apply(events: Array[Dictionary]) -> void:
 				var tile := Vector2i(event["x"], event["y"])
 				map_view.refresh_tile(tile)
 				# The own hits showed their burst when they were made.
-				if event["player"] != local:
+				if event["player"] == local:
+					_own_hits.erase(tile)
+				else:
 					map_view.hit(tile)
 			"tile_changed":
 				var tile := Vector2i(event["x"], event["y"])
 				map_view.refresh_tile(tile)
-				map_view.hit(tile)
+				# The core does not say whose hit broke the tile; an own hit
+				# showed its burst already.
+				if not _own_hits.erase(tile):
+					map_view.hit(tile)
 			"item_gained":
 				if event["player"] == local:
 					hud.show_stone(session.item_count(GwSession.ITEM_STONE))
@@ -453,8 +463,9 @@ func dig_at(tile: Vector2i) -> void:
 		return
 	session.dig(tile.x, tile.y)
 	_next_dig_tick = session.tick() + GwSession.DIG_COOLDOWN_TICKS
-	if session.terrain_at(tile.x, tile.y) != GwSession.TERRAIN_GROUND:
+	if MapView.SOLID.has(session.terrain_at(tile.x, tile.y)):
 		map_view.hit(tile)
+		_own_hits[tile] = true
 
 
 ## Writes the running world as the save. Returns false if nothing was
diff --git a/game/tests/test_main.gd b/game/tests/test_main.gd
index 5cf7f4e..45c51c9 100644
--- a/game/tests/test_main.gd
+++ b/game/tests/test_main.gd
@@ -392,3 +392,17 @@ func test_an_own_hit_shows_its_burst_at_once() -> void:
 	main.dig_at(rock)
 	check_eq(main.map_view.burst_count(), 1, "the burst shows before the hit lands in a tick")
 	_clean_up([directory])
+
+
+func test_an_own_hit_that_breaks_the_rock_shows_its_burst_only_once() -> void:
+	var directory := TestFiles.temporary_dir("break")
+	var main := _start_main(directory)
+	main.play(false)
+	var rock: Vector2i = main.session.spawn_point() + Vector2i(7, -2)
+	for blow in 3:
+		main.dig_at(rock)
+		for tick in GwSession.DIG_COOLDOWN_TICKS + 1:
+			main._run_tick()
+	check_eq(main.session.terrain_at(rock.x, rock.y), GwSession.TERRAIN_GROUND, "three own hits break the rock")
+	check_eq(main.map_view.burst_count(), 3, "one burst per own hit, none more when the rock breaks")
+	_clean_up([directory])