User:Wurfmaul - Revision history

Wurfmaul: /* An automatic peep lemma? */ Remove top stone, edit edges to stones, rename

2023-02-21T02:31:06Z

‎An automatic peep lemma?: Remove top stone, edit edges to stones, rename

2023-02-21T01:03:37Z

‎A lemma (as seen on discord!): replied

2023-02-21T01:00:29Z

‎A lemma (as seen on discord!)

2023-02-20T18:24:09Z

2016-04-07T13:35:39Z

2016-04-04T10:00:33Z

Blanked the page

2016-04-04T08:36:49Z

2016-04-04T07:12:45Z

Blanked the page

2016-04-04T07:11:40Z

test test

2016-04-03T19:27:13Z

Creating user page for new user.

New page

@@ Line 1: / Line 1: @@
-==A lemma (as seen on discord!)==
+==An automatic peep lemma?==
-A: <hexboard size="3x4"
+A: <hexboard size="4x4"
    float="inline"
-   edges="bottom"
+   edges="none"
    coords="none"
-   visible="area(a4, c4, c3, d2, d1)"
+   visible="area(a4, c4, c3, d2, c2)"
-   contents="R d1 B d2 E x:c2 y:b3 z:c3"
+   contents="B d2 E x:c2 y:b3 z:c3 R a4--c4"
    />
-B: <hexboard size="3x4"
+B: <hexboard size="4x4"
    float="inline"
-   edges="bottom"
+   edges="none"
    coords="none"
-   visible="area(a4, c4, c3, d2, d1)"
+   visible="area(a4, c4, c3, d2, c2)"
-   contents="R d1 c2 B d2 b3"
+   contents="B d2 b3 R c2 a4--c4"
    />
@@ Line 27: / Line 27: @@
 That does not need the top red stone.  Also, it still works with a line of 3 red stones instead of the edge.  See [[Peep#Automatic_peep|automatic peep]].

← Older revision		Revision as of 01:03, 21 February 2023
Line 26:		Line 26:
	reply by [[User:Demer\|Demer]]:		reply by [[User:Demer\|Demer]]:

−	That does not need the top red stone. (Also, it still works with a line of 3 red stones instead of the edge.)	+	That does not need the top red stone. Also, it still works with a line of 3 red stones instead of the edge. See [[Peep#Automatic_peep\|automatic peep]].

← Older revision		Revision as of 01:00, 21 February 2023
Line 22:		Line 22:
	====When blue plays first====		====When blue plays first====
	When blue plays at y in A, the result is at least as good for blue as when blue plays at the empty cell in B. To see this, note that if blue plays at x next, it kills z, and this implies that locally, red's only sensible move is at x, making the position identical to B.		When blue plays at y in A, the result is at least as good for blue as when blue plays at the empty cell in B. To see this, note that if blue plays at x next, it kills z, and this implies that locally, red's only sensible move is at x, making the position identical to B.
		+
		+
		+	reply by [[User:Demer\|Demer]]:
		+
		+	That does not need the top red stone. (Also, it still works with a line of 3 red stones instead of the edge.)

← Older revision		Revision as of 18:24, 20 February 2023
Line 1:		Line 1:
−	~~[[Parallelogram boards]]~~	+	==A lemma (as seen on discord!)==
		+
		+	A: <hexboard size="3x4"
		+	float="inline"
		+	edges="bottom"
		+	coords="none"
		+	visible="area(a4, c4, c3, d2, d1)"
		+	contents="R d1 B d2 E x:c2 y:b3 z:c3"
		+	/>
		+	B: <hexboard size="3x4"
		+	float="inline"
		+	edges="bottom"
		+	coords="none"
		+	visible="area(a4, c4, c3, d2, d1)"
		+	contents="R d1 c2 B d2 b3"
		+	/>
		+
		+	From blue's perspective, A is at least as good as B.
		+	===Proof===
		+	====When red plays first====
		+	The best red can do in A is to play at x, capturing the two cells below. When red plays at the empty cell in B, it kills the blue cell to the left of it, so the result is equivalent to the result in A.
		+	====When blue plays first====
		+	When blue plays at y in A, the result is at least as good for blue as when blue plays at the empty cell in B. To see this, note that if blue plays at x next, it kills z, and this implies that locally, red's only sensible move is at x, making the position identical to B.

← Older revision		Revision as of 07:12, 4 April 2016
Line 1:		Line 1:
−	~~<spoiler show="show_message">spoiler_text</spoiler>~~	+

← Older revision	Revision as of 07:11, 4 April 2016
Line 1:	Line 1:
−	+	<spoiler show="show_message">spoiler_text</spoiler>