Solutions to Piet Hein's puzzles - Revision history

Hexanna: no longer a stub

2023-05-11T14:34:51Z

no longer a stub

Selinger: Edited Puzzle 7 solution

2021-04-29T21:08:13Z

Edited Puzzle 7 solution

Selinger: Consistently show coordinates in puzzles.

2020-12-18T04:30:17Z

Consistently show coordinates in puzzles.

Selinger: /* Puzzle 6 */ Added a solution for Puzzle 6

2020-03-01T18:27:35Z

‎Puzzle 6: Added a solution for Puzzle 6

Halladba: /* Puzzle 7 */ added board coordinates

2008-12-14T11:16:36Z

‎Puzzle 7: added board coordinates

HappyHippo: /* Puzzle 7 */ Explained more

2008-12-12T15:27:02Z

‎Puzzle 7: Explained more

HappyHippo: /* Puzzle 7 */ Added solution, hope it's right!

2008-12-12T15:21:46Z

‎Puzzle 7: Added solution, hope it's right!

Halladba: moved solutions+stubbed because some solutions are lacking

2008-12-07T10:41:44Z

moved solutions+stubbed because some solutions are lacking

New page

== Puzzles ==
=== Puzzle 1 ===
<hex>
R11 C11 Q1
Vd1 Vd2 Vd3 Vd4 Vd5 Vd6 Vd7 Vd9 Vd10 Vd11 Vh6 Vh7 Hc2 Hd8 Hh9 Hi4
H1f7 +g5 +g8
</hex>

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#General strategy guide|Strategy guide]] for details). The stone at d8 is connected to the left because of the ladder breaker at c2.

=== Puzzle 2 ===
<hex>R3 C3 Ha1 Va2 Vb3 N:on Hb2</hex>

=== Puzzle 3 ===
<hex>R6 C6 Vc3 Vf3 Vd5 Hb1 Hb5 N:on He2</hex>

=== Puzzle 4 ===
<hex>R4 C4 Vd1 Va4 Hc2 N:on Hb3</hex>
Using twice [[Edge templates with two adjacent pieces|edge template III 2b]]
=== Puzzle 5 ===
<hex>R4 C4 Va4 Ha1 N:on Hb3</hex>

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:

<hex>R4 C4 Va4 Ha1 N:on Hb3 Va3 Hb2 Va2 Hb1</hex>

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 ===
Not posted yet...
== See also ==
* Back to [[Piet Hein's puzzles]].
* Main page: [[Puzzles]].

[[category:puzzle]]
{{stub}}

← Older revision		Revision as of 14:34, 11 May 2023
Line 79:		Line 79:

	[[category:puzzle]]		[[category:puzzle]]
−	~~{{stub}}~~

@@ Line 55: / Line 55: @@
 === Puzzle 7 ===
-<hex>R5 C5 Q1
+Blue's unique winning move is c2:
- Ra2
+<hexboard size="5x5"
-   Ba3 Rb3 Bc3
+   contents="R a2 B a3 R b3 B c3 R b4 B a5 B 1:c2
-       Rb4
+            S area(d1,c2,c3,e3,e1)"
-    Ba5 B1c2</hex>
+  />
-The two blue pieces are connected to the right using [[Edge templates with two adjacent pieces|edge template III2a]]. Red must block the connection to the left at B2
+The two blue pieces are connected to the right using [[Edge templates with two adjacent pieces|edge template III2a]]. If Red tries to block the connection to the left at b2, Blue responds as follows:
-−
 <hex>R5 C5 Q1
   Ra2
@@ Line 67: / Line 66: @@
         Rb4
      Ba5 Bc2 R2b2 B3b5 R4c4 B5c5 R6e4 B7d4 R8e3 B9d3</hex>
+And now Blue can connect with either e1 or e2.
-And now blue can connect with either E2 or E1.
+If Red instead tries to intrude into Blue's template in the red-shaded area, Blue responds at c4:
-Had red played 4. E3 blue could respond with D4 with a similar outcome.
+<hexboard size="5x5"
-Had red played 2. D3 to block the future ladder, blue could respond with 3. C4, keeping the connection to the right and connecting to the left in two different ways (via B2 and B5).
+  contents="R a2 B a3 R b3 B c3 R b4 B a5 B 1:c2 B 3:c4 E +:(e1,d3,d5) E *:(b2,b5)
 == See also ==

@@ Line 37: / Line 37: @@
 The two blue pieces are connected to the right using [[Edge templates with two adjacent pieces|edge template III2a]]. Red must block the connection to the left at B2
-<hex>R5 C5
+<hex>R5 C5 Q1
   Ra2
    Ba3 Rb3 Bc3

@@ Line 35: / Line 35: @@
         Rb4
      Ba5 B1c2</hex>
-The two blue pieces are connected to the right. Red must block the connection to the left at B2
+The two blue pieces are connected to the right using [[Edge templates with two adjacent pieces|edge template III2a]]. Red must block the connection to the left at B2
 <hex>R5 C5
@@ Line 44: / Line 44: @@
 And now blue can connect with either E2 or E1.
-Had Red played 4. E3 blue could respond with D4 with a similar outcome.
+Had red played 4. E3 blue could respond with D4 with a similar outcome.
 == See also ==

@@ Line 10: / Line 10: @@
 === Puzzle 2 ===
-<hex>R3 C3 Ha1 Va2 Vb3 N:on Hb2</hex>
+<hex>R3 C3 Q1 Ha1 Va2 Vb3 N:on Hb2</hex>
 === Puzzle 3 ===
-<hex>R6 C6 Vc3 Vf3 Vd5 Hb1 Hb5 N:on He2</hex>
+<hex>R6 C6 Q1 Vc3 Vf3 Vd5 Hb1 Hb5 N:on He2</hex>
 === Puzzle 4 ===
-<hex>R4 C4 Vd1 Va4 Hc2 N:on Hb3</hex>
+<hex>R4 C4 Q1 Vd1 Va4 Hc2 N:on Hb3</hex>
 Using twice [[Edge templates with two adjacent pieces|edge template III 2b]]
 === Puzzle 5 ===
-<hex>R4 C4 Va4 Ha1 N:on Hb3</hex>
+<hex>R4 C4 Q1 Va4 Ha1 N:on Hb3</hex>
 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:
-<hex>R4 C4 Va4 Ha1 N:on Hb3 Va3 Hb2 Va2 Hb1</hex>
+<hex>R4 C4 Q1 Va4 Ha1 N:on Hb3 Va3 Hb2 Va2 Hb1</hex>
 Since the cells for the ladder and those for the edge template do not overlap, Red cannot do anything against the connection.
@@ Line 55: / Line 55: @@
 === Puzzle 7 ===
-<hex>R5 C5
+<hex>R5 C5 Q1
   Ra2
    Ba3 Rb3 Bc3

@@ Line 28: / Line 28: @@
 === Puzzle 6 ===
-Not posted yet...
 === Puzzle 7 ===
 <hex>R5 C5