Template - Revision history

Selinger: Added two other template types

2024-02-19T20:01:12Z

Added two other template types

Selinger: Added template candidate and pre-template.

2023-11-09T02:25:48Z

Added template candidate and pre-template.

Selinger: /* Reference */ Fixed David King's URL

2023-08-05T16:53:37Z

‎Reference: Fixed David King's URL

Selinger: Added a category

2020-12-28T21:49:45Z

Added a category

Selinger: Define validity, and reformulate minimality in terms of validity.

2020-12-08T00:45:38Z

Define validity, and reformulate minimality in terms of validity.

Selinger: Added minimality and an example.

2020-12-08T00:17:32Z

Added minimality and an example.

Selinger: Converted to new hexboard diagrams

2020-12-07T04:55:16Z

Converted to new hexboard diagrams

Selinger: Fixed link

2020-08-16T15:55:36Z

Fixed link

Selinger: Added carrier and overlap

2020-08-16T14:34:37Z

Added carrier and overlap

Richyfourtytwo: removed dead external link

2016-05-11T07:57:26Z

removed dead external link

@@ Line 2: / Line 2: @@
 * [[:Category:Edge templates |Edge templates]]
 * [[Interior template]]s
 * [[Second order template]]s

@@ Line 14: / Line 14: @@
 We say that a proposed template is '''valid''' if it actually guarantees the kind of connection that it is claimed to guarantee, and '''invalid''' otherwise.
 == Minimality ==
@@ Line 31: / Line 33: @@
    contents="R c1 d1"
    />
 == Overlapping templates ==

@@ Line 49: / Line 49: @@
 == Reference ==
-* [http://www.drking.plus.com/hexagons/hex/templates.html David King's Hex template page]
+* [https://www.drking.org.uk/hexagons/hex/templates.html David King's Hex template page]
 [[category: Templates]]
 [[category: Connection types]]
 [[category: Definition]]

@@ Line 51: / Line 51: @@
 * [http://www.drking.plus.com/hexagons/hex/templates.html David King's Hex template page]
-[[category:templates]]
+[[category: Templates]]
-[[category:connection types]]
+[[category: Connection types]]

@@ Line 10: / Line 10: @@
 The '''carrier''' of a template consists of all of those cells (occupied or empty) that are part of the template. Empty cells in a template's carrier are an important part of the template and must not be ignored. If any of these cells are occupied by the opponent, the template is no longer valid.
 == Minimality ==
-Templates are, by definition, minimal. This means that removing any of the stones or empty hexes from the template should no longer guarantee the connection. For example, the following pattern guarantees a virtual connection of the red stones to the edge. However, it is not a template, because it is not minimal.
+Templates are, by definition, minimal. This means that removing any of the stones or empty hexes from the template would invalidate the template. For example, the following pattern guarantees a virtual connection of the red stones to the edge. However, it is not a template, because it is not minimal.
 <hexboard size="4x5"
    coords="hide"
@@ Line 20: / Line 24: @@
    contents="R d1 e1"
    />
-The following pattern has a smaller carrier and guarantees the same connection. It is minimal, i.e., removing any red stone or any empty hex makes the pattern no longer connected. Therefore it is a template. It is known as [[Edge_template_IV2a|edge template IV-2-a]].
+The following pattern has a smaller carrier and guarantees the same connection. It is minimal, i.e., removing any more empty hexes or any red stone makes the pattern invalid. Since the pattern is both valid and minimal, it is a template. It is known as [[Edge_template_IV2a|edge template IV-2-a]].
 <hexboard size="4x4"
    coords="hide"

@@ Line 1: / Line 1: @@
-A '''template''' is a [[pattern]] which guarantees some kind of [[connection]]. There are several different (and sometimes overlapping) types:
+A '''template''' is a minimal [[pattern]] that guarantees some kind of [[connection]]. There are several different (and sometimes overlapping) types:
 * [[:Category:Edge templates |Edge templates]]
@@ Line 6: / Line 6: @@
 * [[Second order template]]s
-The '''carrier''' of a template consists of all of those cells (occupied or empty) that are part of the template. Empty cells in a template's carrier are an important part of the template and must not be ignored: if any of these cells are occupied by the opponent, the template is typically no longer valid.
 == Overlapping templates ==

@@ Line 10: / Line 10: @@
 == Overlapping templates ==
-Two templates '''overlap''' if some empty cell belongs to both of their carriers. Care must be taken with overlapping templates: although each template may be valid individually, the overlapping templates may not form a valid connection as a whole. The simplest example of such a situation is the following:
+Two templates '''overlap''' if some empty cell belongs to both of their carriers. Care must be taken with overlapping templates: although each template may be valid individually, the overlapping templates may not form a valid connection as a whole. The simplest example is the following situation, called a ''U-turn'':
 <hexboard size="5x5"
-   contents="B b3 R 3:b4 R 1:c2 R 2:d3 E *:c3 E *:c4 E *:d2"
+  coords="none"
    />
-Although 1 is connected to 2 via a valid [[bridge]] template, and 2 is connected to 3 via a valid bridge template, 1 is not connected to 3, because the bridges overlap at c3. In fact, if Blue plays at c3, Red cannot defend both bridges in a single move.
+Although 1 is connected to 2 via a valid [[bridge]] template, and 2 is connected to 3 via a valid bridge template, 1 is not connected to 3, because the bridges overlap at *. In fact, if Blue plays at *, Red cannot defend both bridges in a single move.
 == See also ==