Tyc: A New Type of Tic Tac Toe

You've heard me discuss this whole notion of "Gamer's Tic Tac Toe" all last week. Of course, my first impulse was to find some way I could make a commercial product out of this idea. That's just where my head's at this year, since it's kinda how I pay the bills now. But... If this were to be true to its roots, it would be a game that could be played with nothing more than pen and paper.

So, here's a bizarro remix of Tic Tac Toe incorporating area control, set collection, and even a little worker placement, all with nothing more than paper and two writing implements.


Tyc

OVERVIEW OF PLAY
This game takes basic Tic Tac Toe and adds several eurogame advancements to make it less predictable. Players take turns drawing A, B, C, D, E, F, G, H, or I. The color of the letter indicates who drew that mark. Players guide each other’s moves and constrain their opportunities to score. While there are points to be earned from traditional Tic Tac Toe strategies, the big points come from area control and resource acquisition. In this case, the letters are the “resources.”

STUFF YOU NEED
A sheet of paper. Draw nine Tic Tac Toe boards shown above.
Each player needs a pen in their own color. Red and blue are good.
Randomly choose the first player.


HOW TO PLAY
On your turn, draw A, B, C, D,  E, F, G, H, or I in one of the small cells of one board. The cell in which you draw your mark corresponds to the board in which your opponent must draw her next mark. For example...


If you draw your mark here...

...your opponent must draw her mark on this board.

If your opponent draws her mark here...

...you must draw your mark on this board.

And so on, with one restriction: The same letter may not appear in the same board twice. So, once someone has written “A” on a board, no one may write it again on that same board. It may still be drawn on another board, though.


ENDGAME
The game ends when there is a continuous horizontal, vertical or diagonal line of nine marks traversing three boards. Then players score points.

 

SCORING
There are FOUR ways to score points: Three-in-a-Row, Line Bonus, Area Majority and Letter Bonus.

Three-in-a-Row
During the game, the first player to get a horizontal, vertical or diagonal line of three marks in their color on a board draws a line across those three marks.  So across the whole game, there are nine opportunities to make a first three-in-a-row. Each line is worth 2 points.

 Above, Blue has two lines, scoring a total of 4 points. Red has one line, scoring 2 points.


Line Bonus
Both players score one point for each of their marks on the line that triggers the endgame.

Above: Blue has five marks, and so scores 5 points. Red has four marks, and so scores 4 points.

Area Majority
After the game is over, look at each individual board and see who has the most marks on that board. Whoever has the most marks on a board scores points equal to the EMPTY spaces on that board. If there is a tie for majority on a board, neither player scores it.

Above:
Red has the most marks on the top left board, which has has two empty spaces, scoring 2 points.
Red has the most marks on the mid left board, which has has four empty spaces, scoring 4 points.
Red has the most marks on the lower right board, which has has seven empty spaces, scoring 7 points.
Blue has the most marks on the center board, which has has one empty space, scoring 1 point.
Blue has the most marks on the mid right board, which has has three empty spaces, scoring 3 points.
Blue has the most marks on the lower left board, which has has six empty spaces, scoring 6 points.



Letter Bonus
Each player earns points from each letter they’ve used during the game. The more times an individual letter is used, the more points it's worth. See the chart below for reference:

1 : -3 Points   4 : 3 Points    7 : 15 Points
2 : -1 Point    5 : 6 Points    8 : 21 Points
3 : 1 Points    6 : 10 Points   9 : 28 Points

So if you only got one "A", it would be worth -3 points. But if you got five "A'"s, that would be worth 6 points. Each new letter you write is sort of a down payment in the hopes of a greater reward at the end of the game. It’s very unlikely to get more than five or six of a letter, but the upper extremes are listed for the sake of completeness.

In the finished example above, red has the following letters and scores:
A: 5: 6pts | B: 5: 6pts | C: 2: -1pt | D: 3: 1 pt | E: 2: -1pt | F: 2: -1pt

Blue has the following letter and scores:
A: 4: 3pt | B: 4: 3pt | C: 3: 1pt | D: 2: -1pt | E: 2: -1pt | F: 1: -3pt | G: 2: -1pt | H: 1 : -3pts

BLUE FINAL SCORE: 18
RED FINAL SCORE: 29
RED WINS!

"Gamer's Tic Tac Toe" #GTTT

Picking up on yesterday's thoughts about converting classic games to something gamers might enjoy, let's talk about the one game possibly more dismissed than roll-and-move: Tic Tac Toe. It's a solved game, as any fans of Matthew Broderick movies will know. The only way to win is to not play.

Then I recently learned about Ultimate Tic Tac Toe. It's played on a 3x3 grid, with each cell containing a standard 3x3 tic tac toe board. On your turn, you place your mark on one of the tiny boards, which in turn forces the next player to make their mark on the corresponding big board. Whoever wins a tiny board lays claim to that entire cell. If you're forced to play on a cell that is already won, you can play in any cell. If you claim three cells in a row, you win! You can see why this is also called "Inception Tic Tac Toe."

Alas, like regular TTT, UTTT has been sort of solved. There are optimal moves that will eventually lead to a tie. The trick with any "Gamer's" version of Tic Tac Toe will be to un-solve it. That is, find ways to introduce random initial states and offer alternate options that make traditionally sub-optimal choices actually worthwhile.

Unexplored Emergent Properties

I wonder if there are some emergent properties yet unexplored by those mathematicians that could be tapped for deeper gameplay. I'm thinking about this in terms of yesterday's post on "Gamer's ____" games. So in this case, it would be "Gamer's Tic Tac Toe."

For example, red is losing this game but in the process has created a few long lines of five-in-a-row. Should that be worth something? Blue has also created long lines. Should that be worth something, too, or is that only the privilege of the player losing the cell strategy? What happens if a player makes a contiguous line that extends across the whole 9x9 game board?

In another scenario, Blue has managed to create a perfect square that traverses two cells. Should that mean something? What if it traverse three squares? What if it was a 4x4 square? Does that have some effect on the marks within the square? Is there some kind of Go-like surrounding mechanic? What about other shapes, like Xs or triangles?

Presently, the only effect of being forced into a claimed cell is that you may then play in any cell. This acts as a deterrent to for your opponent to give you an advantage. I rather perfer incentives over deterrents though. What if you wanted to play in a claimed cell? What if there was some value still left to tap in that cell, despite you not getting the first three-in-a-row? Does having more marks in that cell give you some other reward?

And what if each cell had its own variable reward for being the first to 3-in-a-row, majority, or to be traversed by a long line? Imagine each cell is its own card, with its own stats.


Any discussion of n-in-a-row games and area control games has a long, long history to tap. For now, let's just find a theme so these weird emergent behaviors make some kind of sense as far as gameplay goals.



Gamer's Tic Tac Toe (GTTT)
Once more, the basic gameplay is as identical to Ultimate Tic Tac Toe. The new stuff comes in assymetric mid-game goals and long-term goals.

The board is comprised of nine randomly drawn cards. Each card is a city block with a real estate-sounding name. Each cell of the card represents a building up for sale. The numbers alongside the bottom of each card represent rewards based on certain conditions as described below.

The first player to get three buildings in a row on a card gets the first reward noted on the card. In this case, blue gets 2 points.

The first player to get five buildings on a card gets the majority on that card, but don't score that until the end of the game.

The round ends as soon as there is a continuous line of nine buildings. Whoever has the majority of buildings on that line gets a 3 point bonus.

Any remaining area majorities are scored for each card. Blue earns a total of 7 (3+0+4) points. Red earns a total of 10 (2+2+3+2+1) points. The tied card is not scored by either player.

Now here's a twist. That player who did not get area majority on a card collects that card. In essence, the player who loses the area majority contest wins the card, which itself is worth points as a set at the end of the game. At the end of the game, organize your collected cards by their symbols. Score the highest value of each set, plus 1 for each extra card in that set.


Or maybe islands?
I'm not really feeling the real estate theme, so maybe Islands would work better? Each cell is an island and the goal is to populate islands, building "bridges" of straight lines across the archipelago.

This suggests one more secondary mechanic. Imagine if each island offered its own resource, as shown above. I imagine these would be more island-themed eventually, so Taro, Coconuts, Mangoes, Bamboo, Shells, Fish, Pigs, Obsidian, and Water. Think of this as a worker placement game. Each time you place a stone, you acquire a resource from that island.

Resources would be noted on a separate board as shown above. Collecting the first of any resource starts you at a deficit, but eventually the reward is greater than any potential area majority or three-in-a-row.

So when your opponent leads you to one of the boards, you're not only thinking about area majority or getting three-in-a-row, you're also thinking about the resource you want to get and which one you want to avoid. Being too diversified eventually leads to a wash, as shown above. Sometimes you want to sacrifice valuable lines or areas just to make sure you don't set forth on too costly a quest for mangos.



And in conclusion...
That's my first stab at a GTTT of some kind. Un-solve the original game by adding the following ingredients to make otherwise sub-optimal choices more enticing.

• Random starting layout: Makes memorizing opening moves less useful.
• Points as victory condition: By removing the original victory condition and using points instead, we remove the whole logic behind the solution to the original game. Now you're not just seeking three-in-a-row, but any number of other ways to score points, which includes three-in-a-row.

The methods of scoring points are pretty standard ingredients for eurogames. The minimum and maximum possible values are noted as well. The maximums assume a very extreme circumstance though, like the game continuing until the board is full or all the cards having optimal set-collection.

• First to Three-in-a-Row from Cards (Variable 0–45)
• Area Majority for Triggering Endgame (3)
• Area Majority from Cards (Variable 0–5)
• Set Collection (Variable 0–21)
• Worker Placement on Resources (-18 – 25)

All that being the case, three-in-a-row is still a pretty strong incentive. It's tactically easier to do and leads to higher potential rewards depending on the board layout. That keeps in the spirit of the original game, but may still be unbalanced. I hope the other bonuses and considerations would make the decisions more satisfying though.

There are plenty more directions you could take this, of course. I recommend checking out Kory Heath's Blockers as a fine example of how to shape a 9x9 grid into a fiendish puzzle game. Whether mine is any good, I don't know.

For one thing, I have this loosey goosey idea of centering the grid on each card, thus making room for two unique sets of values for either player. So one player would find it more valuable to get area majority on a card while her opponent would prefer the first three-in-a-row.

And that's not even taking into consideration background art to add yet another level of information. But for now, five ways of scoring seems like enough.