diff --git a/addons/material_maker/engine/gen_buffer.gd b/addons/material_maker/engine/gen_buffer.gd
index 217aefc..f35e190 100644
--- a/addons/material_maker/engine/gen_buffer.gd
+++ b/addons/material_maker/engine/gen_buffer.gd
@@ -20,7 +20,7 @@ func get_type_name():
 	return "Buffer"
 
 func get_parameter_defs():
-	return [ { name="size", type="size", first=4, last=11, default=4 } ]
+	return [ { name="size", type="size", first=4, last=12, default=4 } ]
 
 func get_input_defs():
 	return [ { name="in", type="rgba" } ]
diff --git a/addons/material_maker/engine/gen_material.gd b/addons/material_maker/engine/gen_material.gd
index 49f1bfe..194514b 100644
--- a/addons/material_maker/engine/gen_material.gd
+++ b/addons/material_maker/engine/gen_material.gd
@@ -15,6 +15,15 @@ const TEXTURE_LIST = [
 	{ port=6, texture="depth_texture" }
 ]
 
+# The minimum allowed texture size as a power-of-two exponent
+const TEXTURE_SIZE_MIN = 4  # 16x16
+
+# The maximum allowed texture size as a power-of-two exponent
+const TEXTURE_SIZE_MAX = 12  # 4096x4096
+
+# The default texture size as a power-of-two exponent
+const TEXTURE_SIZE_DEFAULT = 10  # 1024x1024
+
 func _ready():
 	texture_list = TEXTURE_LIST
 	for t in texture_list:
@@ -39,7 +48,7 @@ func get_parameter_defs():
 		{ name="normal_scale", label="Normal", type="float", min=0.0, max=8.0, step=0.05, default=1.0 },
 		{ name="ao_light_affect", label="Ambient occlusion", type="float", min=0.0, max=1.0, step=0.05, default=1.0 },
 		{ name="depth_scale", label="Depth", type="float", min=0.0, max=1.0, step=0.05, default=1.0 },
-		{ name="size", label="Size", type="size", first=7, last=11, default=9 }
+		{ name="size", label="Size", type="size", first=TEXTURE_SIZE_MIN, last=TEXTURE_SIZE_MAX, default=TEXTURE_SIZE_DEFAULT }
 	]
 
 func get_input_defs():
@@ -56,9 +65,9 @@ func get_input_defs():
 func get_image_size():
 	var rv : int
 	if parameters.has("size"):
-		rv = int(pow(2, parameters.size+7))
+		rv = int(pow(2, parameters.size+TEXTURE_SIZE_MIN))
 	else:
-		rv = 512
+		rv = int(pow(2, TEXTURE_SIZE_DEFAULT))
 	return rv
 
 func update_preview():
diff --git a/addons/material_maker/widgets/node_editor/parameter_size.gd b/addons/material_maker/widgets/node_editor/parameter_size.gd
index 621cb1e..36a0060 100644
--- a/addons/material_maker/widgets/node_editor/parameter_size.gd
+++ b/addons/material_maker/widgets/node_editor/parameter_size.gd
@@ -3,7 +3,7 @@ extends HBoxContainer
 
 var size_first = 0
 var size_last = 12
-var size_default = 8
+var size_default = 10
 
 func _ready():
 	update_size_configuration()