Difference between revisions of "Puzzles"

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(added some puzzles from Bert Enderton and changed the heading)
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== [[Piet Hein]]'s puzzles ==
 
== [[Piet Hein]]'s puzzles ==
  
=== Puzzle 1 ===
+
See article [[Piet Hein's puzzles]]
Blue to play and win.
+
  
[[Image:Piethein1.png]]
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== [[Claude Berge]]'s puzzles ==
 
+
<!-- <hex>R11 C11 Vd1 Vd2 Vd3 Vd4 Vd5 Vd6 Vd7 Vd9 Vd10 Vd11 Vh6 Vh7 Hc2 Hd8 Hh9 Hi4</hex> -->
+
 
+
=== Puzzle 2 ===
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Blue to play and win.
+
 
+
[[Image:Piethein2.png]]
+
 
+
<!-- <hex>R3 C3 Ha1 Va2 Vb3</hex> -->
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=== Puzzle 3 ===
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Blue to play and win.
+
 
+
[[Image:Piethein3.png]]
+
 
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<!-- <hex>R6 C6 Vc3 Vf3 Vd5 Hb1 Hb5</hex> -->
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=== Puzzle 4 ===
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[[Image:Piethein4.png]]
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<!-- <hex>R4 C4 Vd1 Va4 Hc2</hex> -->
+
 
+
=== Puzzle 5 ===
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Blue to play and win.
+
 
+
[[Image:Piethein5.png]]
+
 
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<!-- <hex>R4 C4 Va4 Ha1</hex> -->
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+
=== Puzzle 6 ===
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By [[Piet Hein]]
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On the board of size 3 there are precisely two opening moves such that, with optimal play from both players, the board will be completely filled before the game is over. Which are the two opening moves?
+
 
+
=== Puzzle 7 ===
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By Piet Hein.
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Blue to play and win.
+
  
<hex>R5 C5
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See article [[Claude Berge's puzzles]]
Ra2
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  Ba3 Rb3 Bc3
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      Rb4
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    Ba5 </hex>
+
  
 
== Bert Enderton ==
 
== Bert Enderton ==
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=== Puzzle 3 ===
 
=== Puzzle 3 ===
  
Red (Vertical) to play and win.
+
Red to play and win.
  
 
This is a very difficult puzzle whose complete solution is extremely complex.
 
This is a very difficult puzzle whose complete solution is extremely complex.
  
[[Image:Puzzle7.png]]
+
<hexboard size="6x6"
 +
  contents="B c2 R f4"
 +
  />
  
<!-- <hex>R6 C6 Q1 Vf4 Hc2</hex> -->
+
=== Puzzle 4 ===
 +
 
 +
Red to play and win.
 +
 
 +
<hexboard size="7x7"
 +
  xcontents="B b4 c4 d4 R b3 b6"
 +
  contents="B f4 e4 d4 R f5 f2"
 +
  />
  
 
== Other authors ==
 
== Other authors ==
  
 
=== Puzzle 1 ===
 
=== Puzzle 1 ===
By [[Claude Berge]]
 
 
Red to move and win
 
<hex>R14 C14 Q1
 
                  Hh1              Hk1
 
    Vf2        Vg2 Hh2    Hj2            Vl2
 
                Vg3 Hh3              Hk3 Vl3
 
                Vg4    Hi4              Vl4
 
                  Vg5            Hj5        Vl5
 
                  Vg6 Hh6              Hk6 Vl6
 
                    Vg7    Hi7              Vl7
 
                    Vg8            Hj8        Vl8
 
                      Vg9 Hh9              Hk9 Vl9
 
                      Vg10      Hi10            Vl10
 
                                        Hj11          Vm11
 
                          Hg12 Hh12 Vi12      Hk12          Vn12
 
                  He13              Hi13          Hl13
 
Ha14 Hb14 Hc14 Hd14    Hg14      Hi14          Hl14 Hm14 Hn14</hex>
 
 
=== Puzzle 2 ===
 
 
By [[John Tromp]]
 
By [[John Tromp]]
  
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<hex> R10 C10
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<hex> R10 C10 Q1
 
                   Ri1  
 
                   Ri1  
 
             Bg4 Rh4  
 
             Bg4 Rh4  
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Rc8  
 
Rc8  
 
     Rd9 </hex>
 
     Rd9 </hex>
 +
 +
=== Puzzle 2 ===
 +
By ''lazyplayer''. Blue to play and win.
 +
 +
<hex> R7 C7 Q1
 +
Vb2
 +
He3
 +
Vb5
 +
</hex>
 +
 +
=== Puzzle 3 ===
 +
By [[David J Bush]]. Taken from a game on [[Playsite]] in 2003. Red to play and win.
 +
 +
<hexboard size="10x10"
 +
  coords="show"
 +
  contents="R a3 e3 f3 g3 a4 b4 c4 e4 g4 h4 c5 d5 f5 e6 e7
 +
B e2 f2 g2 h2 i2 b3 d3 d4 f4 b5 e5 d6 g8 c9 d9"
 +
  />
 +
 +
Source: this [[Little Golem]] forum [http://www.littlegolem.net/jsp/forum/topic2.jsp?forum=50&topic=14 thread].
 +
 +
=== Puzzle 4 ===
 +
Designed by ''Door1'', helped by ''David J Bush''. Inspired by a game on [[Kurnik]] in May 2005. Blue to play and win.
 +
 +
<hexboard size="10x10"
 +
  coords="show"
 +
  contents="
 +
R g3 b4 e4 c6 d7 d8
 +
B b2 g2 f3 f4 e5"
 +
  />
 +
 +
Source: this [[Little Golem]] forum [http://www.littlegolem.net/jsp/forum/topic2.jsp?forum=50&topic=212 thread].
 +
 +
=== Puzzle 5 ===
 +
Designed by ''Arek Kulczycki''. Game where both players play very close to perfect. Move 7.b9 was the first mistake, however it was very hard to refute it.<br/>
 +
Blue to move and win (there is just 1 winning sequence).
 +
 +
<hexboard size="11x11"
 +
  coords="show"
 +
  contents="B 4:h2 R 1:a4 R 5:b5 R 3:c6 B 6:e7 B 2:g8 R 7:b9"
 +
  />
 +
 +
=== Puzzle 6 ===
 +
From Ryan B. Hayward, "A puzzling Hex primer" (https://webdocs.cs.ualberta.ca/~hayward/papers/puzzlingHexPrimer.pdf). Red to play and win.
 +
 +
<hexboard size="6x6"
 +
  coords="show"
 +
  contents="R a4 a6 B a5 b5"
 +
  />
 +
 +
Note that this position is [[Equivalent patterns|equivalent]] to the position with the pieces at a5 and a6 removed.  This could arise in response to the [[Small_boards#Winner_depending_on_the_first_move|winning opening move a4]].
  
 
== See also ==
 
== See also ==
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* [[Puzzle server]]
 
* [[Puzzle server]]
  
[[Cameron Browne]] offers a lot of Original puzzles in his book [[Hex Strategy Making the Right Connections]]
+
[[Cameron Browne]] offers a lot of original puzzles in his book [[Hex Strategy Making the Right Connections]]
 +
 
 +
[[Matthew Seymour]] has created a website with 500 interactive Hex puzzles at http://www.mseymour.ca/hex_puzzle/hexpuzzle.html
 +
 
 +
[[Ryan Hayward]] and [[Bjarne Toft]] include several sets of puzzles in their book [[Hex: The Full Story]], including 49 puzzles originally published in Politiken, 28 unpublished puzzles by Jens Lindhard, 99 puzzles by Henderson, and the 4 puzzles by Bert Enderton.
  
 
[[category:Puzzle]]
 
[[category:Puzzle]]

Revision as of 21:24, 20 February 2021

Solving puzzles is a very good way of becoming a stronger player. Solve as many as possible! And feel free to post your own puzzles here.

Piet Hein's puzzles

See article Piet Hein's puzzles

Claude Berge's puzzles

See article Claude Berge's puzzles

Bert Enderton

Puzzle 1

Red to play and win.

abcdefg1234567

Puzzle 2

Red to play and win.

abcdefg1234567

Puzzle 3

Red to play and win.

This is a very difficult puzzle whose complete solution is extremely complex.

abcdef123456

Puzzle 4

Red to play and win.

abcdefg1234567

Other authors

Puzzle 1

By John Tromp

Blue to play and win.


abcdefghij12345678910

Puzzle 2

By lazyplayer. Blue to play and win.

abcdefg1234567

Puzzle 3

By David J Bush. Taken from a game on Playsite in 2003. Red to play and win.

abcdefghij12345678910

Source: this Little Golem forum thread.

Puzzle 4

Designed by Door1, helped by David J Bush. Inspired by a game on Kurnik in May 2005. Blue to play and win.

abcdefghij12345678910

Source: this Little Golem forum thread.

Puzzle 5

Designed by Arek Kulczycki. Game where both players play very close to perfect. Move 7.b9 was the first mistake, however it was very hard to refute it.
Blue to move and win (there is just 1 winning sequence).

abcdefghijk12345678910114153627

Puzzle 6

From Ryan B. Hayward, "A puzzling Hex primer" (https://webdocs.cs.ualberta.ca/~hayward/papers/puzzlingHexPrimer.pdf). Red to play and win.

abcdef123456

Note that this position is equivalent to the position with the pieces at a5 and a6 removed. This could arise in response to the winning opening move a4.

See also

Cameron Browne offers a lot of original puzzles in his book Hex Strategy Making the Right Connections

Matthew Seymour has created a website with 500 interactive Hex puzzles at http://www.mseymour.ca/hex_puzzle/hexpuzzle.html

Ryan Hayward and Bjarne Toft include several sets of puzzles in their book Hex: The Full Story, including 49 puzzles originally published in Politiken, 28 unpublished puzzles by Jens Lindhard, 99 puzzles by Henderson, and the 4 puzzles by Bert Enderton.