Efficiency - Revision history

Selinger: /* Fast forwarding */ Added a remark about fast forwarding.

2022-12-01T03:24:43Z

‎Fast forwarding: Added a remark about fast forwarding.

2022-11-27T16:06:53Z

Added categories

2022-11-27T00:06:23Z

‎Measuring efficiency: fixed typo

2022-11-26T19:13:42Z

‎Interior templates: grammar

2022-11-26T19:13:13Z

‎Efficiency of templates: typo

2022-11-26T19:10:06Z

‎Fast forwarding: fixed an explanation.

2022-11-26T19:07:17Z

‎Efficiency of templates: typo

2022-11-26T19:06:32Z

‎Interior templates: typo

2022-11-26T19:05:05Z

‎Fast forwarding: edit

2022-11-26T19:02:55Z

‎Defending a template: typo

@@ Line 63: / Line 63: @@
    contents="R b1 a3 B b3 c3 d2 e1 f3 f4 f5 R 1:a4 B 2:a5 R 3:b4 B 4:b5 R 5:c4 B 6:c5 R 7:e4 B 8:d4 R 9:e3 B 10:d3 R 11:f1"
    />
 == Caution ==

← Older revision		Revision as of 16:06, 27 November 2022
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	More templates can be added to this table in the future, or the efficiency could be listed on each template's own page.		More templates can be added to this table in the future, or the efficiency could be listed on each template's own page.
		+
		+	[[category: Advanced Strategy]]
		+	[[category: Definition]]
		+	[[category: Ladder]]

@@ Line 72: / Line 72: @@
 When evaluating which of several moves is more efficient, it is sometimes useful to quantify efficiency. It is usually convenient to measure efficiency in ''turns'' (i.e., counting one player's moves) rather than ''moves'' (i.e., counting both player's moves). For example, from Red's point of view, the efficiency of a position is the worst-case number of turns that Red must play before Red wins. Smaller numbers are more efficient.
-For example, the following position is a win for Red with efficieny 3:
+For example, the following position is a win for Red with efficiency 3:
 <hexboard size="5x5"
    edges="all"

@@ Line 99: / Line 99: @@
 === Interior templates ===
-For most of the [[interior template|named interior templates]], the efficiency happens to be equal to half the number of empty cells in the template (i.e., in the worst case, defending the template requires to fill all of its empty cells). The exceptions are:
+For most of the [[interior template|named interior templates]], the efficiency happens to be equal to half the number of empty cells in the template (i.e., in the worst case, defending the template requires filling all of its empty cells). The exceptions are:
 * The [[Interior_template#The_parallelogram|parallelogram]] and the [[Interior_template#The_diamond|diamond]] have efficiency 2.

@@ Line 99: / Line 99: @@
 === Interior templates ===
-For most of the [[interior template|named interior templates]], the efficiency happens to be equal half the number of empty cells in the template (i.e., in the worst case, defending the template requires to fill all of its empty cells). The exceptions are:
+For most of the [[interior template|named interior templates]], the efficiency happens to be equal to half the number of empty cells in the template (i.e., in the worst case, defending the template requires to fill all of its empty cells). The exceptions are:
 * The [[Interior_template#The_parallelogram|parallelogram]] and the [[Interior_template#The_diamond|diamond]] have efficiency 2.

@@ Line 57: / Line 57: @@
    contents="R b1 a3 B b3 c3 d2 e1 f3 f4 f5"
    />
-The only way Red can win is by playing the ladder in its entirety. The reason is that 9 is not [[forcing move|forcing]] unless 5 has already been played.
+The only way Red can win is by playing the ladder in its entirety. The reason is that 7 and 9 are insufficiently [[forcing move|forcing]] unless 5 has already been played.
 <hexboard size="5x6"
    edges="all"

@@ Line 103: / Line 103: @@
 * The [[Interior_template#The_parallelogram|parallelogram]] and the [[Interior_template#The_diamond|diamond]] have efficiency 2.
-* The [[Interior_template#The_hammock|hammock]] has efficiency 3. Here, efficiency is measured as the number of turns required for Red to achieve the template's guarantee, i.e., the connect the template's 2 endpoints.
+* The [[Interior_template#The_hammock|hammock]] has efficiency 3. Here, efficiency is measured as the number of turns required for Red to achieve the template's guarantee, i.e., to connect the template's 2 endpoints.
 * The [[Interior_template#The_wide_parallelogram|wide parallelogram]] has efficiency 3.

@@ Line 14: / Line 14: @@
    contents="R c2 B 1:b3 R 2:e2 S red:area(b3,e3,e2,c2)"
    />
-The reason that move 2 is usually good is hat it [[captured cell|captures]] the entire shaded area. However, Red needs up to two additional turns to complete the connection:
+The reason that move 2 is usually good is that it [[captured cell|captures]] the entire shaded area. However, Red needs up to two additional turns to complete the connection:
 <hexboard size="3x6"
    edges="bottom"