Difference between revisions of "Interior template"

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(Interior templates from edge templates: Added remark about bridge and template II)
(Added section on template exstensions.)
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[[category:interior templates]]
 
[[category:interior templates]]
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== Template extensions ==
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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:
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<hexboard size="3x5"
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  coords="hide"
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  contents="R a3 b1 c1 c3 e1 E a2 b2 b3 c2 d1 d2"
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  />
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<hexboard size="4x6"
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  contents="R a4 b2 c2 c4 f2 E a3 b3 b4 c3 d2 d3 d1 e1 e2 f1 e3 d4"
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  />
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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.

Revision as of 23:41, 17 August 2020

This page lists some interior templates. In each case, the carrier of the template is indicated by cells marked "*".

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
Scooter.png
Proposed name: The bicycle
Bicycle.png
Proposed name: The hammock
Hammock.png

This template is a variation of the diamond that only guarantees a connection between the two stones marked "1". It does not guarantee all 4 stones to be connected.

11

Proposed name: The long parallelogram

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 usually 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.

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:

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.