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Fixed issue with continuity removal where paths involving wrapping around the space were not properly removed,  These paths are now prevented from being considered.
Updated placement request string to inform the user of both the player that was playing and the token that player is using.

tictactoe.py

@@ -5,6 +5,8 @@ import itertools
 
 
 class Player:
+	# Player is separate from Board in case I ever want to make a bot, at which point players will need to have boards
+	# and because I need a mystery player to steal center sometimes
 	def __init__(self, index):
 		self.__index = index
 		self.__move_list = list()
@@ -187,6 +189,9 @@ class Board:
 		return None
 
 	def __get_dimension_locks(self):
+		# This gets all unique permutations of True-False for each dimension so 2^n elements
+		# This is used to create a matrix of all the possible cross sections of a n-space
+		# This is also used to pattern all the ways to manipulate a 1-dimensional element, increase/decrease it
 		final = list()
 		initial = list()
 
@@ -220,30 +225,28 @@ class Board:
 							else:
 								temp[j] = (temp[j] - i - (self.__dimensions + 1)) % (self.__dimensions + 1)
 					patterned_edit.append(temp)
-				if patterned_edit not in result:
+				if patterned_edit not in result and self.__is_path_continuous(patterned_edit, freedom):
 					result.append(patterned_edit)
 			if result not in path_set:
 				path_set.append(result)
-
-		# This will prune out impossible paths (paths that wrap around the space)
-		for paths in path_set:
-			for path in paths:
-				slope_is_legit = True
-				for i in range(len(path)):
-					found_a_slope_buddy = False
-					for j in range(len(path)):
-						if i != j:
-							point_has_good_slope = True
-							for k in range(len(path[i])):
-								if freedoms[k]:
-									point_has_good_slope = point_has_good_slope and abs(path[i][k] - path[j][k]) == 1
-							found_a_slope_buddy = found_a_slope_buddy or point_has_good_slope
-					slope_is_legit = slope_is_legit and found_a_slope_buddy
-				if not slope_is_legit:
-					paths.remove(path)
-
 		return path_set
 
+	def __is_path_continuous(self, path, freedoms):
+		# This will prune out impossible paths (paths that wrap around the space)
+		# Though this could be static, it doesn't feel right as static, so I haven't made it so.
+		slope_is_legit = True
+		for i in range(len(path)):
+			found_a_slope_buddy = False
+			for j in range(len(path)):
+				if i != j:
+					point_has_good_slope = True
+					for k in range(len(path[i])):
+						if freedoms[k]:
+							point_has_good_slope = point_has_good_slope and abs(path[i][k] - path[j][k]) == 1
+					found_a_slope_buddy = found_a_slope_buddy or point_has_good_slope
+			slope_is_legit = slope_is_legit and found_a_slope_buddy
+		return slope_is_legit
+
 	def get_winning_path(self):
 		result = ""
 		for coord in self.__winning_path:
@@ -258,9 +261,9 @@ class Board:
 		return result
 
 # Setup Inputs
-print("\nWelcome to multidimensional Tic-Tac-Toe!\n\nThe board will contain (n+1)^n for n dimensions.\nFor even "
+print("\nWelcome to multidimensional Tic-Tac-Toe!\n\nThe board will contain (n+1)^n spaces for n dimensions.\nFor even "
 	  "dimensions starting with the 4th dimension, the center space can be setup to be unplayable.\nClaim n+1 "
-	  "spaces in a row to win!\n")
+	  "spaces in a continuous streak to win!\n")
 difficulty_attempts = 1
 difficulty = input("How many dimensions of Tic Tac Toe would you like to attempt? ")
 
@@ -304,7 +307,8 @@ while not board.is_full() and not board.has_winner():
 	player_to_play = turn % 2
 	move_attempts = 1
 	coordinate_move = input("\nPlayer " + str(player_to_play + 1) + " please input coordinates (<nth index>.<nth - 1 "
-																  "index>. ... .<3rd index>.<rows>.<cols>) of move: ")
+							"index>. ... .<3rd index>.<rows>.<cols>) to place your '"
+							+ board.players[player_to_play].get_token() + "' token: ")
 	move_result = board.place_token(coordinate_move, board.players[player_to_play])
 	while move_result > 0 and move_attempts < 3:
 		if move_result == 1:
@@ -314,8 +318,9 @@ while not board.is_full() and not board.has_winner():
 		if move_result == 3:
 			print("Input Error on Coordinate.  There space described by coordinate is already claimed.")
 		print("Remaining attempts:  " + str(3 - move_attempts) + " failure will result in random placement.")
-		coordinate_move = input("Player " + str(player_to_play + 1) + " please input coordinates (<nth index>.<nth - 1 "
+		coordinate_move = input("\nPlayer " + str(player_to_play + 1) + " please input coordinates (<nth index>.<nth "
-																	"index>. ... .<3rd index>.<rows>.<cols>) of move: ")
+								"- 1 index>. ... .<3rd index>.<rows>.<cols>) to place your '"
+								+ board.players[player_to_play].get_token() + "' token: ")
 		move_attempts += 1
 		move_result = board.place_token(coordinate_move, board.players[player_to_play])