Seventh row edge templates - Revision history

Selinger: /* Seventh row edge templates with two or more stones */ typo

2024-09-01T01:54:17Z

‎Seventh row edge templates with two or more stones: typo

Selinger: Added links

2023-11-18T13:54:06Z

Added links

Selinger: Simplified this page. Information on where the templates came from was moved to a different page.

2023-11-18T05:23:04Z

Simplified this page. Information on where the templates came from was moved to a different page.

Selinger: Added the new template.

2023-11-18T04:38:58Z

Added the new template.

Selinger: Added a template

2023-11-09T00:00:22Z

Added a template

Selinger: New 7th row template.

2023-11-06T23:07:21Z

New 7th row template.

New page

== Seventh row edge templates with one stone ==

These templates have not yet been assigned a permanent name, since more templates are being actively discovered at the time of this writing.

=== Edge template VII-1-TBA ===

<hexboard size="7x17"
coords="none"
edges="bottom"
visible="area(a7,q7,q5,p3,n1,j1,f3,c5)"
contents="R l1"
/>

This template was discovered in a discussion on the [[Hex forums|Hex Discord]] from November 4-6, 2023. The user Comonoid first noticed that [[Strategic advice from KataHex|KataHex]] seemed to indicate that the red stone was connected within this carrier. The validity and minimality of the template was subsequently verified in a collaborative effort by a several users using [[MoHex]].

== Seventh row edge templates with two or more stones ==

There are many sixth row edge templates with two or more stones — too many to list them all. Some of them can be found on [https://www.mathstat.dal.ca/~selinger/templates/ Peter Selinger's template page].

[[Category: Edge templates]]

@@ Line 30: / Line 30: @@
 == Seventh row edge templates with two or more stones ==
-There are many sixth row edge templates with two or more stones &mdash; too many to list them all. Some of them can be found on [https://www.mathstat.dal.ca/~selinger/templates/ Peter Selinger's template page].
+There are many seventh row edge templates with two or more stones &mdash; too many to list them all. Some of them can be found on [https://www.mathstat.dal.ca/~selinger/templates/ Peter Selinger's template page].
 [[Category: Edge templates]]

@@ Line 1: / Line 1: @@
 == Seventh row edge templates with one stone ==
-=== Edge template VII-1a ===
+=== [[Edge template VII1a|Edge template VII-1a]] ===
 <hexboard size="7x17"
@@ Line 10: / Line 10: @@
    />
-=== Edge template VII-1b ===
+=== [[Edge template VII1b|Edge template VII-1b]] ===
 <hexboard size="7x19"
@@ Line 19: / Line 19: @@
    />
-=== Edge template VII-1c ===
+=== [[Edge template VII1c|Edge template VII-1c]] ===
 <hexboard size="7x21"

@@ Line 1: / Line 1: @@
 == Seventh row edge templates with one stone ==
-These templates have not yet been assigned a permanent name, since more templates are being actively discovered at the time of this writing.
+=== Edge template VII-1a ===
-−
-=== Edge template VII-1-TBA ===
 <hexboard size="7x17"
@@ Line 12: / Line 10: @@
    />
-This template was discovered in a discussion on the [[Hex forums|Hex Discord]] from November 4-6, 2023. The user Comonoid first noticed that [[Strategic advice from KataHex|KataHex]] seemed to indicate that the red stone was connected within this carrier. The validity and minimality of the template was subsequently verified in a collaborative effort by a several users using [[MoHex]].
+=== Edge template VII-1b ===
-−
-=== Edge template VII-1-TBA ===
 <hexboard size="7x19"
@@ Line 23: / Line 19: @@
    />
-This template was discovered in a discussion on the [[Hex forums|Hex Discord]] from November 3-17, 2023. While checking the below width-21 template, the user Comonoid first proposed checking whether there is a width-19 template if the carrier is wide enough. The user Mason came up with the final shape of the template on November 4 and first proved its validity. Minimality was subsequently verified by a collaboration among several users, with Quasar finishing the final case on November 17.
+=== Edge template VII-1c ===
-−
-=== Edge template VII-1-TBA ===
 <hexboard size="7x21"
@@ Line 33: / Line 27: @@
    contents="R n1"
    />
 == Seventh row edge templates with two or more stones ==

← Older revision		Revision as of 04:38, 18 November 2023
Line 13:		Line 13:

	This template was discovered in a discussion on the [[Hex forums\|Hex Discord]] from November 4-6, 2023. The user Comonoid first noticed that [[Strategic advice from KataHex\|KataHex]] seemed to indicate that the red stone was connected within this carrier. The validity and minimality of the template was subsequently verified in a collaborative effort by a several users using [[MoHex]].		This template was discovered in a discussion on the [[Hex forums\|Hex Discord]] from November 4-6, 2023. The user Comonoid first noticed that [[Strategic advice from KataHex\|KataHex]] seemed to indicate that the red stone was connected within this carrier. The validity and minimality of the template was subsequently verified in a collaborative effort by a several users using [[MoHex]].
		+
		+	=== Edge template VII-1-TBA ===
		+
		+	<hexboard size="7x19"
		+	coords="none"
		+	edges="bottom"
		+	visible="area(a7,s7,s5,p2,n1,l1,i2,c5)"
		+	contents="R m1"
		+	/>
		+
		+	This template was discovered in a discussion on the [[Hex forums\|Hex Discord]] from November 3-17, 2023. While checking the below width-21 template, the user Comonoid first proposed checking whether there is a width-19 template if the carrier is wide enough. The user Mason came up with the final shape of the template on November 4 and first proved its validity. Minimality was subsequently verified by a collaboration among several users, with Quasar finishing the final case on November 17.

	=== Edge template VII-1-TBA ===		=== Edge template VII-1-TBA ===

← Older revision		Revision as of 00:00, 9 November 2023
Line 13:		Line 13:

	This template was discovered in a discussion on the [[Hex forums\|Hex Discord]] from November 4-6, 2023. The user Comonoid first noticed that [[Strategic advice from KataHex\|KataHex]] seemed to indicate that the red stone was connected within this carrier. The validity and minimality of the template was subsequently verified in a collaborative effort by a several users using [[MoHex]].		This template was discovered in a discussion on the [[Hex forums\|Hex Discord]] from November 4-6, 2023. The user Comonoid first noticed that [[Strategic advice from KataHex\|KataHex]] seemed to indicate that the red stone was connected within this carrier. The validity and minimality of the template was subsequently verified in a collaborative effort by a several users using [[MoHex]].
		+
		+	=== Edge template VII-1-TBA ===
		+
		+	<hexboard size="7x21"
		+	coords="none"
		+	edges="bottom"
		+	visible="area(a7,u7,u5,s3,q3,o1,m1,i3,g3,c5)"
		+	contents="R n1"
		+	/>
		+
		+	This template was discovered in a discussion on the [[Hex forums\|Hex Discord]] from October 7 until November 8, 2023. After Eric Demer's discovery of [[edge template VI1b]] on October 6, the user Bobson noticed that this could likely be turned into a single-stone 7th row template. He found the first such pre-template on October 13; it had width 32, but was of course not initially known to be minimal. Bobson subsequently reduced the width to 23 cells on October 14, and to 21 cells on October 27. Subsequently a number of Discord users collaborated to check minimality, which was finally verified on November 8. In the process, several other single-stone 7th row templates of smaller width, but with differently shaped carriers, were also discovered.

	== Seventh row edge templates with two or more stones ==		== Seventh row edge templates with two or more stones ==