Difference between revisions of "Claude Berge's puzzles"

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=== Puzzle 1 ===
 
=== Puzzle 1 ===
 
[[Blue]] to move and win.
 
[[Blue]] to move and win.
<hex>R5 C5
+
<hex>R5 C5 Q1
 
Ha1
 
Ha1
 
     Vb2    Hd2 Ve2
 
     Vb2    Hd2 Ve2
Line 11: Line 11:
 
     Va5 Hb5
 
     Va5 Hb5
 
</hex>
 
</hex>
 +
Try it on [https://hexworld.org/board/#5c1,a1:sc3d2e2d3e3c4b2b5a5 HexWorld].
  
 
=== Puzzle 2 ===
 
=== Puzzle 2 ===
 
Blue to move and win.
 
Blue to move and win.
<hex>R5 C5
+
<hex>R5 C5 Q1
 
Va2
 
Va2
 
  Ha3 Vb3 Hc3
 
  Ha3 Vb3 Hc3
Line 20: Line 21:
 
   Ha5
 
   Ha5
 
</hex>
 
</hex>
 +
Try it on [https://hexworld.org/board/#5c1,c3:sb3a3a2a5b4 HexWorld].
  
 
=== Puzzle 3 ===
 
=== Puzzle 3 ===
Not posted yet...
+
Red to move and win.
 +
<hexboard size="14x14"
 +
  coords="show"
 +
  contents="B d2 B f2 R b3 B d3 R g3 B i3 R a4 B b4 B e4 B f4 R g4 B j4 R a5 B c5 R g5 B l5 B a6 B b6 R c6 B d6 B j6 R c7 B e7 B h7 R c8 B f8 R h8 R j8 R c9 R c10 R c11 R c12 R c13"
 +
  />
 +
Try it on [https://hexworld.org/board/#14c1,b4:sb3f2g3d3a4i3g4b4a5e4g5f4c6j4c7c5c8l5h8a6j8b6c9d6c10j6c11e7c12h7c13f8 HexWorld].
 +
 
 
=== Puzzle 4 ===
 
=== Puzzle 4 ===
 
Red to move and win.
 
Red to move and win.
  
<hex>R14 C14 Q1
+
<hexboard size="14x14"
                  Hh1              Hk1
+
  coords="show"
    Vf2        Vg2 Hh2   Hj2            Vl2
+
   contents="B k1 R g2 B h2 R l2 R g3 B i3 B k3 R l3 R g4 B i4 R l4 R g5 B j5 R l5 R g6 B h6 B k6 R l6 R g7 B i7 R l7 R g8 B j8 R l8 R g9 B h9 B k9 R l9 R g10 B i10 R l10 R g11 B j11 R m11 B g12 B h12 R i12 B k12 R n12 B e13 B i13 B l13 B a14 B b14 B c14 B d14 B g14 B i14 B l14 B m14 B n14"
                Vg3 Hh3              Hk3 Vl3
+
  />
                Vg4    Hi4              Vl4
+
Try it on [https://hexworld.org/board/#14c1,:pa14:pb14:pc14:pd14:pg14:pi14:pl14i12m14n12n14g11e13m11i13g10l13m10g12g9h12l9k12g8j11l8i10g7h9l7k9g6j8l6i7g5h6l5k6g4j5l4i4g3i3l3k3g2h2l2k1 HexWorld].
                  Vg5            Hj5        Vl5
+
                  Vg6 Hh6              Hk6 Vl6
+
                    Vg7    Hi7              Vl7
+
                    Vg8            Hj8        Vl8
+
                      Vg9 Hh9              Hk9 Vl9
+
                      Vg10      Hi10            Vl10
+
                        Vg11            Hj11          Vm11
+
                          Hg12 Hh12 Vi12      Hk12          Vn12
+
                  He13              Hi13          Hl13
+
Ha14 Hb14 Hc14 Hd14    Hg14      Hi14          Hl14 Hm14 Hn14</hex>
+
  
 
=== Puzzle 5 ===
 
=== Puzzle 5 ===
Not posted yet...
+
Red to move and Blue to win.
 +
 
 +
<hexboard size="14x14"
 +
  coords="show"
 +
  contents="B n1 B m2 R n2 B l3 R m3 R n3 R k4 R l4 B m4 R n4 B e5 B f5 B g5 B h5 B i5 B j5 B k5 B l5 R m5 B c6 R e6 R f6 R g6 R h6 R i6 B j6 R k6 R l6 R c7 R d7 B e7 B f7 B g7 B h7 B i7 B k7 R l7 R b8 B c8 B d8 R e8 R f8 R g8 R h8 B i8 R b9 R d9 B e9 R f9 B g9 R h9 R c10 B d10 R e10 B f10 R g10 B h10 R c11 B d11 R e11 B f11 R g11 R h11 R i11 B b12 B c12 B d12 B e12 R f12 B g12 R j12 B k12 B g13 B h13 R j13 R k13 B e14 B i14"
 +
  />
 +
Try it on [https://hexworld.org/board/#14c1,:pe14:pi14j13g13k13h13f12b12j12c12c11d12e11e12g11g12h11k12i11d11c10f11e10d10g10f10b9h10d9e9f9g9h9c8b8d8e8i8f8e7g8f7h8g7c7h7d7i7l7k7e6c6f6j6g6e5h6f5i6g5k6h5l6i5m5j5k4k5l4l5n4m4m3l3n3m2n2n1 HexWorld].
  
 
== References ==
 
== References ==
Line 53: Line 57:
  
 
* [[Jack van Rijswijck]]. Set Colouring Games, 2006.
 
* [[Jack van Rijswijck]]. Set Colouring Games, 2006.
 +
* [[Ryan Hayward]]. Berge and the Art of Hex, 2003.
 
== See also ==
 
== See also ==
  
 
* Main article: [[Puzzles]]
 
* Main article: [[Puzzles]]
* [[Solutions to Claude Berge's Puzzles|Solutions]]
+
* [[Solutions to Claude Berge's puzzles|Solutions]]
  
 
[[category:Puzzle]]
 
[[category:Puzzle]]

Latest revision as of 17:00, 6 June 2023

These are a few puzzles designed by Claude Berge. Their respective solutions can be found here.

Puzzles

Puzzle 1

Blue to move and win.

abcde12345

Try it on HexWorld.

Puzzle 2

Blue to move and win.

abcde12345

Try it on HexWorld.

Puzzle 3

Red to move and win.

abcdefghijklmn1234567891011121314

Try it on HexWorld.

Puzzle 4

Red to move and win.

abcdefghijklmn1234567891011121314

Try it on HexWorld.

Puzzle 5

Red to move and Blue to win.

abcdefghijklmn1234567891011121314

Try it on HexWorld.

References

The puzzles are taken from:

  • Claude Berge. L'Art Subtil du Hex. Manuscript, 1977.

via

See also