<p>A draw is definitely possible. For example here is a game I played against myself on an <a href="https://play.google.com/store/apps/details?id=com.nicholas.kroetsch.quarto&amp;hl=en" rel="nofollow noreferrer">Android app</a>.</p>

<p><a href="https://i.sstatic.net/vTUfs.jpg" rel="nofollow noreferrer"><img src="https://i.sstatic.net/vTUfs.jpg" width="300" title="Drawn game of Quarto"/></a></p>

<p>However I've not seen any results about whether this version of the game is a draw with perfect play or not (in contrast to the basic game which is known to be a <a href="http://www.cs.rhul.ac.uk/~wouter/Talks/quarto.pdf" rel="nofollow noreferrer">draw</a>). The extra victory condition might mean that perfect play results in a win for one of the two players.</p>

CC BY-SA 3.0
2016-09-07T18:22:45.410Z
2016-09-07T18:22:45.410Z
tttppp
<p>Quarto has a set of basic rules which describes the winner as the one who align 4 pieces sharing a common trait. The alignment can be horizontal, vertical or diagonal.</p>

<p>An advanced rule states that if 4 pieces share a trait and are disposed to form a 2*2 square then it is a winning position. </p>

<p>The board being 4*4, the advanced rule adds 9 winning positions.</p>

<p>Is a draw possible with this advance rule ?</p>

<quarto>
Is a draw possible in Quarto with the advanced rules?
Kii
# Is a draw possible in Quarto with the advanced rules?

(Asked by: username_0 on 2016-09-02)

Quarto has a set of basic rules which describes the winner as the one who align 4 pieces sharing a common trait. The alignment can be horizontal, vertical or diagonal.

An advanced rule states that if 4 pieces share a trait and are disposed to form a 2\*2 square then it is a winning position.

The board being 4\*4, the advanced rule adds 9 winning positions.

Is a draw possible with this advance rule ?

**Tags:** quarto


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## 1 answers

### Answer by username_1 on 2016-09-07. Score: 4 | Accepted answer

A draw is definitely possible. For example here is a game I played against myself on an [Android app](https://play.google.com/store/apps/details?id=com.nicholas.kroetsch.quarto&hl=en).

[![](https://i.sstatic.net/vTUfs.jpg "Drawn game of Quarto")](https://i.sstatic.net/vTUfs.jpg)

However I've not seen any results about whether this version of the game is a draw with perfect play or not (in contrast to the basic game which is known to be a [draw](http://www.cs.rhul.ac.uk/~wouter/Talks/quarto.pdf)). The extra victory condition might mean that perfect play results in a win for one of the two players.


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