Difference between revisions of "Solutions to Piet Hein's puzzles"

From HexWiki
Jump to: navigation, search
(moved solutions+stubbed because some solutions are lacking)
 
(Puzzle 7: Added solution, hope it's right!)
Line 30: Line 30:
 
Not posted yet...
 
Not posted yet...
 
=== Puzzle 7 ===
 
=== Puzzle 7 ===
Not posted yet...
+
<hex>R5 C5
 +
Ra2
 +
  Ba3 Rb3 Bc3
 +
      Rb4
 +
    Ba5 B1c2</hex>
 +
The two blue pieces are connected to the right. Red must block the connection to the left at B2
 +
 
 +
<hex>R5 C5
 +
Ra2
 +
  Ba3 Rb3 Bc3
 +
      Rb4
 +
    Ba5 Bc2 R2b2 B3b5 R4c4 B5c5 R6e4 B7d4 R8e3 B9d3</hex>
 +
 
 +
And now blue can connect with either E2 or E1.
 +
Had Red played 4. E3 blue could respond with D4 with a similar outcome.
 +
 
 
== See also ==
 
== See also ==
 
* Back to [[Piet Hein's puzzles]].
 
* Back to [[Piet Hein's puzzles]].

Revision as of 15:21, 12 December 2008

Puzzles

Puzzle 1

abcdefghijk12345678910111

No matter what Red does, Blue can connect via either g5 or g8. Both blue stones at the right are connected to the right (see the Strategy guide for details). The stone at d8 is connected to the left because of the ladder breaker at c2.

Puzzle 2

1

Puzzle 3

1

Puzzle 4

1

Using twice edge template III 2b

Puzzle 5

1

Blue 1 is connected to the right via Template IIIa and threatens to connect directly to the left. The only possibility to prevent this connection is to play out the ladder:

54321

Since the cells for the ladder and those for the edge template do not overlap, Red cannot do anything against the connection.

Puzzle 6

Not posted yet...

Puzzle 7

1

The two blue pieces are connected to the right. Red must block the connection to the left at B2

29847635

And now blue can connect with either E2 or E1. Had Red played 4. E3 blue could respond with D4 with a similar outcome.

See also