Difference between revisions of "Interior template"
From HexWiki
(→Long version of templates: Added long span) |
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| − | This page lists some interior templates. In each case, the carrier of the template | + | This page lists some interior templates. In each case, the carrier of the template consists of the cells that are shown in its diagram. |
== 2- and 3-stone templates == | == 2- and 3-stone templates == | ||
| Line 6: | Line 6: | ||
<hexboard size="3x2" | <hexboard size="3x2" | ||
coords="hide" | coords="hide" | ||
| − | contents="R a3 R b1 | + | edges="none" |
| + | visible="area(b1,a2,a3,b2)" | ||
| + | contents="R a3 R b1" | ||
/> | /> | ||
=== The wheel === | === The wheel === | ||
| + | |||
<hexboard size="3x3" | <hexboard size="3x3" | ||
coords="hide" | coords="hide" | ||
| − | contents="R a3 R b1 R c2 | + | edges="none" |
| + | visible="-a1 c3" | ||
| + | contents="R a3 R b1 R c2" | ||
/> | /> | ||
| Line 20: | Line 25: | ||
=== The mouth or trapezoid === | === The mouth or trapezoid === | ||
| + | |||
<hexboard size="3x3" | <hexboard size="3x3" | ||
coords="hide" | coords="hide" | ||
| − | contents="R a1 a3 b3 c1 | + | edges="none" |
| + | visible="-c3" | ||
| + | contents="R a1 a3 b3 c1" | ||
/> | /> | ||
| Line 29: | Line 37: | ||
<hexboard size="3x3" | <hexboard size="3x3" | ||
coords="hide" | coords="hide" | ||
| − | contents="R a1 a3 b3 c2 | + | edges="none" |
| + | visible="-c3" | ||
| + | contents="R a1 a3 b3 c2" | ||
/> | /> | ||
=== The span === | === The span === | ||
| + | |||
<hexboard size="3x4" | <hexboard size="3x4" | ||
coords="hide" | coords="hide" | ||
| − | contents="R a2 R a3 R c3 R d2 | + | edges="none" |
| + | visible="-a1 d3" | ||
| + | contents="R a2 R a3 R c3 R d2" | ||
/> | /> | ||
=== The parallelogram === | === The parallelogram === | ||
| + | |||
<hexboard size="3x4" | <hexboard size="3x4" | ||
coords="hide" | coords="hide" | ||
| − | contents="R a2 R a3 R d1 R d2 | + | edges="none" |
| + | visible="-a1 d3" | ||
| + | contents="R a2 R a3 R d1 R d2" | ||
/> | /> | ||
=== The box === | === The box === | ||
| + | |||
<hexboard size="3x4" | <hexboard size="3x4" | ||
coords="hide" | coords="hide" | ||
| − | contents="R b1 R a3 R c3 R d1 | + | edges="none" |
| + | visible="-a1 d3" | ||
| + | contents="R b1 R a3 R c3 R d1" | ||
/> | /> | ||
=== The diamond === | === The diamond === | ||
| + | |||
<hexboard size="3x4" | <hexboard size="3x4" | ||
coords="hide" | coords="hide" | ||
| − | contents="R a2 R c1 R b3 R d2 | + | edges="none" |
| + | visible="-a1 d3" | ||
| + | contents="R a2 R c1 R b3 R d2" | ||
/> | /> | ||
| + | |||
=== Unnamed templates === | === Unnamed templates === | ||
| Line 63: | Line 86: | ||
This template has the same carrier as the box, and differs from it only in that the "lid" of the box is open. | This template has the same carrier as the box, and differs from it only in that the "lid" of the box is open. | ||
| + | |||
<hexboard size="3x4" | <hexboard size="3x4" | ||
coords="hide" | coords="hide" | ||
| − | contents="R b1 R a3 R d1 R d2 | + | edges="none" |
| + | visible="-a1 d3" | ||
| + | contents="R b1 R a3 R d1 R d2" | ||
/> | /> | ||
'''Proposed name: The scooter''' [[Image: Scooter.png|right|150px]] | '''Proposed name: The scooter''' [[Image: Scooter.png|right|150px]] | ||
| + | |||
<hexboard size="4x4" | <hexboard size="4x4" | ||
coords="hide" | coords="hide" | ||
| − | contents="R b2 R a4 R c1 R c4 | + | edges="none" |
| + | visible="area(c1,a3,a4,c4,d3,d1)" | ||
| + | contents="R b2 R a4 R c1 R c4" | ||
/> | /> | ||
'''Proposed name: The bicycle''' [[Image: Bicycle.png|right|150px]] | '''Proposed name: The bicycle''' [[Image: Bicycle.png|right|150px]] | ||
| + | |||
<hexboard size="4x4" | <hexboard size="4x4" | ||
coords="hide" | coords="hide" | ||
| − | contents="R b2 R a4 R d1 R c4 | + | edges="none" |
| + | visible="area(c1,a3,a4,c4,d3,d1)" | ||
| + | contents="R b2 R a4 R d1 R c4" | ||
/> | /> | ||
'''Proposed name: The hammock''' [[Image: Hammock.png|right|150px]] | '''Proposed name: The hammock''' [[Image: Hammock.png|right|150px]] | ||
| − | This template is a variation of the diamond that only guarantees a connection between the two stones marked | + | This template is a variation of the diamond that only guarantees a connection between the two stones marked with arrows. It does not guarantee all 4 stones to be connected. |
| + | |||
<hexboard size="3x4" | <hexboard size="3x4" | ||
coords="hide" | coords="hide" | ||
| − | contents="R | + | edges="none" |
| + | visible="-d3" | ||
| + | contents="R arrow(10):a1 R c1 R b3 R arrow(4):d2" | ||
/> | /> | ||
'''Proposed name: The wide parallelogram''' | '''Proposed name: The wide parallelogram''' | ||
| + | |||
<hexboard size="4x4" | <hexboard size="4x4" | ||
coords="hide" | coords="hide" | ||
| − | contents="R a2 R a3 R d2 R d3 | + | edges="none" |
| + | visible="-a1 d4" | ||
| + | contents="R a2 R a3 R d2 R d3" | ||
/> | /> | ||
| Line 102: | Line 140: | ||
<hexboard size="3x6" | <hexboard size="3x6" | ||
coords="hide" | coords="hide" | ||
| − | contents="R a1 a3 b3 c3 d3 e3 f2 | + | edges="none" |
| + | visible="-f3" | ||
| + | contents="R a1 a3 b3 c3 d3 e3 f2" | ||
/> | /> | ||
| Line 108: | Line 148: | ||
There are several ways of making a long trapezoid. Two of them are shown here: | There are several ways of making a long trapezoid. Two of them are shown here: | ||
| + | |||
<hexboard size="3x6" | <hexboard size="3x6" | ||
coords="hide" | coords="hide" | ||
| − | contents="R a1 a3 b3 c3 d3 e3 f1 | + | edges="none" |
| + | visible="-f3" | ||
| + | contents="R a1 a3 b3 c3 d3 e3 f1" | ||
/> | /> | ||
<hexboard size="3x6" | <hexboard size="3x6" | ||
coords="hide" | coords="hide" | ||
| − | contents="R a1 a3 b3 c3 d3 f1 f2 | + | edges="none" |
| + | visible="-f3" | ||
| + | contents="R a1 a3 b3 c3 d3 f1 f2" | ||
/> | /> | ||
| Line 121: | Line 166: | ||
<hexboard size="3x6" | <hexboard size="3x6" | ||
coords="hide" | coords="hide" | ||
| − | contents="R a2 a3 c3 d3 e3 f2 | + | edges="none" |
| + | visible="-a1 f3" | ||
| + | contents="R a2 a3 c3 d3 e3 f2" | ||
/> | /> | ||
| Line 127: | Line 174: | ||
<hexboard size="5x4" | <hexboard size="5x4" | ||
coords="hide" | coords="hide" | ||
| − | contents="R b2 b4 c1 E | + | edges="bottom" |
| + | visible="-a1--a4 b1" | ||
| + | contents="R b2 b4 c1 E a:a5 b:b5 S red:(a5 b5)" | ||
/> | /> | ||
| − | Note that the cells marked "a" and "b", which belong to the carrier of this template, are [[captured cell|captured]], and therefore this really is an edge version of the long span. For the same reason, the following is an edge template as well: | + | Note that the cells marked "a" and "b", which belong to the carrier of this template, are [[captured cell|captured]] by Red, and therefore this really is an edge version of the long span. For the same reason, the following is an edge template as well: |
<hexboard size="6x4" | <hexboard size="6x4" | ||
coords="hide" | coords="hide" | ||
| − | contents="R b2 b4 b5 c1 | + | edges="bottom" |
| + | visible="-a1--a5 b1" | ||
| + | contents="R b2 b4 b5 c1" | ||
/> | /> | ||
== Template extensions == | == Template extensions == | ||
| − | Given a template, it is often possible to '''extend''' the template by adding one or more stones that threatens to connect to the template in two different ways. For example, the following 5-stone templates are extensions of the trapezoid | + | Given a template, it is often possible to '''extend''' the template by adding one or more stones that threatens to connect to the template in two different ways. For example, the following 5-stone templates are extensions of the trapezoid. In each case, the trapezoid is shown in white and the extension in gray. |
<hexboard size="3x5" | <hexboard size="3x5" | ||
coords="hide" | coords="hide" | ||
| − | contents="R a3 b1 c1 c3 e1 | + | edges="none" |
| + | visible="-a1 d3 e2 e3" | ||
| + | contents="R a3 b1 c1 c3 e1 S gray:(d1,d2,e1)" | ||
/> | /> | ||
<hexboard size="4x6" | <hexboard size="4x6" | ||
coords="hide" | coords="hide" | ||
| − | contents="R a4 b2 c2 c4 f2 | + | edges="none" |
| + | visible="-a1--c1 a2 e4 f3 f4" | ||
| + | contents="R a4 b2 c2 c4 f2 S gray:area(d1,d4,f2,f1)" | ||
/> | /> | ||
Because template extensions are so numerous, they usually do not get their own names, and it is not usually worth memorizing them as separate templates. | Because template extensions are so numerous, they usually do not get their own names, and it is not usually worth memorizing them as separate templates. | ||
| Line 153: | Line 208: | ||
<hexboard size="4x4" | <hexboard size="4x4" | ||
coords="hide" | coords="hide" | ||
| − | contents="R c1 a4 b4 c4 | + | edges="none" |
| + | visible="area(c1,a3,a4,c4,d3,d1)" | ||
| + | contents="R c1 a4 b4 c4 S area(c1,a3,d3,d1)" | ||
/> | /> | ||
To simulate an edge, it is not actually necessary to have a solid row of stones; it is sufficient that each cell on "row 1" of the edge is adjacent to a connected red stone. For example, the following is another variant of an interior ziggurat: | To simulate an edge, it is not actually necessary to have a solid row of stones; it is sufficient that each cell on "row 1" of the edge is adjacent to a connected red stone. For example, the following is another variant of an interior ziggurat: | ||
<hexboard size="5x4" | <hexboard size="5x4" | ||
coords="hide" | coords="hide" | ||
| − | contents="R c1 a4 b5 c4 | + | edges="none" |
| + | visible="area(c1,a3,a5,b5,d3,d1)" | ||
| + | contents="R c1 a4 b5 c4 S area(c1,a3,d3,d1)" | ||
/> | /> | ||
One can construct a virtually unlimited number of templates this way. Here is an example of an interior [[Edge template IV2a|IV-2-a]] attached to a [[trapezoid]]: | One can construct a virtually unlimited number of templates this way. Here is an example of an interior [[Edge template IV2a|IV-2-a]] attached to a [[trapezoid]]: | ||
<hexboard size="7x5" | <hexboard size="7x5" | ||
coords="hide" | coords="hide" | ||
| − | contents="R d1 e1 a5 c5 a7 c6 | + | edges="none" |
| + | visible="area(d1,a4,d4,e2,e1) area(a5,a7,b7,c6,c5)" | ||
| + | contents="R d1 e1 a5 c5 a7 c6 S area(d1,a4,d4,e2,e1)" | ||
/> | /> | ||
Revision as of 04:05, 7 December 2020
This page lists some interior templates. In each case, the carrier of the template consists of the cells that are shown in its diagram.
Contents
2- and 3-stone templates
The bridge
The wheel
4-stone templates
These templates are grouped by the size and shape of their carrier.
The mouth or trapezoid
The crescent
The span
The parallelogram
The box
The diamond
Unnamed templates
The following templates have not yet been named.
Proposed name: The open box
This template has the same carrier as the box, and differs from it only in that the "lid" of the box is open.
Proposed name: The scooter
This template is a variation of the diamond that only guarantees a connection between the two stones marked with arrows. It does not guarantee all 4 stones to be connected.
Proposed name: The wide parallelogram
Long version of templates
Several interior templates have "long" versions. These work at any length, and are basically interior versions of second row ladder escapes.
The long crescent
The long trapezoid
There are several ways of making a long trapezoid. Two of them are shown here:
The long span
The long span is relatively common as an edge template, in which case it looks, for example, like this:
Note that the cells marked "a" and "b", which belong to the carrier of this template, are captured by Red, and therefore this really is an edge version of the long span. For the same reason, the following is an edge template as well:
Template extensions
Given a template, it is often possible to extend the template by adding one or more stones that threatens to connect to the template in two different ways. For example, the following 5-stone templates are extensions of the trapezoid. In each case, the trapezoid is shown in white and the extension in gray.
Because template extensions are so numerous, they usually do not get their own names, and it is not usually worth memorizing them as separate templates.
Interior templates from edge templates
Since a solid row of stones of the same color acts pretty much like an edge, all edge templates can also be used as interior templates. Such templates typically do not have their own name, but are named after the corresponding edge template. For example, here is an interior ziggurat:
To simulate an edge, it is not actually necessary to have a solid row of stones; it is sufficient that each cell on "row 1" of the edge is adjacent to a connected red stone. For example, the following is another variant of an interior ziggurat:
One can construct a virtually unlimited number of templates this way. Here is an example of an interior IV-2-a attached to a trapezoid:
Some of the named interior templates can actually be viewed as interior versions of edge templates. The bridge is an interior template II, the parallelogram is an interior template III-2-a, and the span is an interior template III-2-b.
