Difference between revisions of "Puzzles"

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(Puzzle 7 and 8: Attributed puzzles, mirrored puzzle 8.)
(Added HexWorld links)
Line 13: Line 13:
 
=== Puzzle 1 ===
 
=== Puzzle 1 ===
  
Red to play and win.
+
Red to play and win.  
  
 
<hex>R7 C7 Q1
 
<hex>R7 C7 Q1
Line 20: Line 20:
 
     Hc5 Ve5
 
     Hc5 Ve5
 
Va6</hex>
 
Va6</hex>
 +
 +
Try it on [https://hexworld.org/board/#7c1,d4:se5f3c4c5a6c3 HexWorld].
  
 
=== Puzzle 2 ===
 
=== Puzzle 2 ===
  
Red to play and win.
+
Red to play and win.  
  
 
<hex>R7 C7 Q1
 
<hex>R7 C7 Q1
Line 29: Line 31:
 
           Hf5
 
           Hf5
 
     Vb6</hex>
 
     Vb6</hex>
 +
 +
Try it on [https://hexworld.org/board/#7c1,c3:sb6f5 HexWorld].
  
 
=== Puzzle 3 ===
 
=== Puzzle 3 ===
Line 39: Line 43:
 
   contents="B c2 R f4"
 
   contents="B c2 R f4"
 
   />
 
   />
 +
 +
Try it on [https://hexworld.org/board/#6c1,f4c2 HexWorld].
  
 
=== Puzzle 4 ===
 
=== Puzzle 4 ===
Line 48: Line 54:
 
   contents="B f4 e4 d4 R f5 f2"
 
   contents="B f4 e4 d4 R f5 f2"
 
   />
 
   />
 +
 +
Try it on [https://hexworld.org/board/#7c1,d4:sf2e4f5f4 HexWorld].
  
 
== Other authors ==
 
== Other authors ==
Line 55: Line 63:
  
 
Blue to play and win.
 
Blue to play and win.
 
  
 
<hex> R10 C10 Q1
 
<hex> R10 C10 Q1
Line 65: Line 72:
 
Rc8  
 
Rc8  
 
     Rd9 </hex>
 
     Rd9 </hex>
 +
 +
Try it on [https://hexworld.org/board/#10c1,i1d7c8e6f6f5g5g4h4:pd9 HexWorld].
  
 
=== Puzzle 2 ===
 
=== Puzzle 2 ===
Line 74: Line 83:
 
Vb5
 
Vb5
 
</hex>
 
</hex>
 +
 +
Try it on [https://hexworld.org/board/#7c1,b2e3b5 HexWorld].
  
 
=== Puzzle 3 ===
 
=== Puzzle 3 ===
Line 83: Line 94:
 
B e2 f2 g2 h2 i2 b3 d3 d4 f4 b5 e5 d6 g8 c9 d9"
 
B e2 f2 g2 h2 i2 b3 d3 d4 f4 b5 e5 d6 g8 c9 d9"
 
   />
 
   />
 +
 +
Try it on [https://hexworld.org/board/#10c1,a3f4e7d9f5c9g4h2h4i2g3g2f3f2e3e2b4a4b3d3c5b5c4d4d5e5e6d6e4g8 HexWorld].
  
 
Source: this [[Little Golem]] forum [http://www.littlegolem.net/jsp/forum/topic2.jsp?forum=50&topic=14 thread].
 
Source: this [[Little Golem]] forum [http://www.littlegolem.net/jsp/forum/topic2.jsp?forum=50&topic=14 thread].
Line 95: Line 108:
 
B b2 g2 f3 f4 e5"
 
B b2 g2 f3 f4 e5"
 
   />
 
   />
 +
 +
Try it on [https://hexworld.org/board/#10c1,b4b2d7e5d8g2g3f3e4f4c6 HexWorld].
  
 
Source: this [[Little Golem]] forum [http://www.littlegolem.net/jsp/forum/topic2.jsp?forum=50&topic=212 thread].
 
Source: this [[Little Golem]] forum [http://www.littlegolem.net/jsp/forum/topic2.jsp?forum=50&topic=212 thread].
Line 107: Line 122:
 
   />
 
   />
  
=== Puzzle 6 ===
+
Try it on [https://hexworld.org/board/#11c1,a4g8c6h2b5e7b9 HexWorld].
From Ryan B. Hayward, "A puzzling Hex primer" (https://webdocs.cs.ualberta.ca/~hayward/papers/puzzlingHexPrimer.pdf). Red to play and win.
+
  
 +
=== Puzzle 6 ===
 +
By Ryan B. Hayward. Red to play and win.
 +
 
<hexboard size="6x6"
 
<hexboard size="6x6"
 
   coords="show"
 
   coords="show"
 
   contents="R a4 a6 B a5 b5"
 
   contents="R a4 a6 B a5 b5"
 
   />
 
   />
 +
 +
Try it on [https://hexworld.org/board/#6c1,a4b5a6a5 HexWorld].
  
 
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]].
 
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]].
 +
 +
Source: Ryan B. Hayward, "A puzzling Hex primer" (https://webdocs.cs.ualberta.ca/~hayward/papers/puzzlingHexPrimer.pdf).
  
 
=== Puzzle 7 ===
 
=== Puzzle 7 ===
Line 124: Line 145:
 
   contents="R a3 b2 B d1 e1 f1"
 
   contents="R a3 b2 B d1 e1 f1"
 
   />
 
   />
 +
 +
Try it on [https://hexworld.org/board/#6c1,a6:sa3e1b2d1 HexWorld].
  
 
=== Puzzle 8 ===
 
=== Puzzle 8 ===
Line 133: Line 156:
 
   contents="R g3 g2 e5 e3 c5 b5 a2 B d7 e4 d5 c4 b4"
 
   contents="R g3 g2 e5 e3 c5 b5 a2 B d7 e4 d5 c4 b4"
 
   />
 
   />
 +
 +
Try it on [https://hexworld.org/board/#7c1,a2:pg2c4b5b4e5d7c5d5e3e4g3 HexWorld].
  
 
== See also ==
 
== See also ==

Revision as of 18:35, 25 April 2023

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

Try it on HexWorld.

Puzzle 2

Red to play and win.

abcdefg1234567

Try it on HexWorld.

Puzzle 3

Red to play and win.

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

abcdef123456

Try it on HexWorld.

Puzzle 4

Red to play and win.

abcdefg1234567

Try it on HexWorld.

Other authors

Puzzle 1

By John Tromp

Blue to play and win.

abcdefghij12345678910

Try it on HexWorld.

Puzzle 2

By lazyplayer. Blue to play and win.

abcdefg1234567

Try it on HexWorld.

Puzzle 3

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

abcdefghij12345678910

Try it on HexWorld.

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

Try it on HexWorld.

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

Try it on HexWorld.

Puzzle 6

By Ryan B. Hayward. Red to play and win.

abcdef123456

Try it on HexWorld.

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.

Source: Ryan B. Hayward, "A puzzling Hex primer" (https://webdocs.cs.ualberta.ca/~hayward/papers/puzzlingHexPrimer.pdf).

Puzzle 7

By Eric Demer. Red to play and win. Red has exactly one winning move.

abcdef123456

Try it on HexWorld.

Puzzle 8

By Eric Demer. Blue to play and win.

abcdefg1234567

Try it on HexWorld.

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.